1 


UC-NRLF 


B    3    111    7S7 


TABLES 

OF 

LOGAKITHMS  OF  NUMBERS 

AND  OF 

SINES  AND  TANGENTS 


WITH 

A  TRAVERSE  TABLE 

ETC.,  ETC. 


i  y 


I       o 


BY 


ELIAS  I.OOMIS,  LL.D. 

LATE  PROFESSOR  OF  NATURAL  PHILOSOPHY  AND  ASTRONOMY  IN  YALE  COLLEGE 
AND  AUTHOR  OF  "a  COURSE  OF  MATHEMATICS" 


SEVENTY-SIXTH  EDITION 

(FROM    NEW    PLATES) 


NEW    YORK 

HARPER    &    BROTHERS,    FRANKLIN    SQUARE 

1894. 


/^f^  I/)    ff-^i .  c^^ 


l»*^»^' 


,<Vf-* 


library 

Entered,  according  to  Act  of  Congress,  in  tlie  year  one  thousand  eight  hundred  and  fort3'-eight,  by 

IIakper   &    Brothers, 
in  the  Clerk's  Office  of  the  District  Court  of  the  Southern  District  of  New  York. 


Copyright,  1883,  by  Harper  &  Brothers. 


«         "     » 


•     -     •        • 


'CONTENTS. 


Page 

EXPLANATION    OF    THE    TABLES V 

TABLE    OF    LOGARITHMS    OF    NUMBERS 1 

LOGARITHMIC    SINES   AND   TANGENTS .  21 

NATURAL    SINES    AND    TANGENTS 116 

NATURAL    SECANTS 134 

LENGTHS    OF    CIRCULAR   ARCS , 135 

TRAVERSE     TABLE 136 

MERIDIONAL     PARTS 142 

CORRECTIONS    TO    MIDDLE    LATITUDE 149 

LOGARITHMS    FOR  COMPOUND   INTEREST,  ETC 150 


PREFACE. 


The  accompanying  tables  were  designed  to  afford  tlie  means  of  per- 
forming trigonometrical  computations  with  facility  and  precision.  The 
tables  chiefly  nsed  in  this  country  for  purposes  of  education  extend  to 
six  decimal  places,  like  those  in  the  present  collection  ;  but  the  pre- 
cision which  they  are  designed  to  furnish  is  only  attained  by  a  serious 
expenditure  of  labor.  In  the  Table  of  Logarithms  of  Numbers  they  do 
not  furnish  the  correction  for  a  fifth  figure  in  tlie  natural  number,  and 
the  labor  of  computing  this  correction  is  such  that  I  always  prefer  the 
use  of  Hntton's  Tables,  extending  to  seven  places,  even  in  computations 
to  which  six-place  logarithms  are  abundantly  competent.  In  the  pres- 
ent collection,  the  correction  for  a  fiftli  figure  of  the  natural  number  is 
introduced  at  the  bottom  of  each  page,  and  the  table  is  thus  rendered 
nearly  as  useful  as  one  of  the  common  kind  extending  to  100,000.  The 
whole  has  been  carefully  compared  with  standard  authors,  and  nearly 
a  dozen  errors  have  thus  been  detected  in  the  common  tables. 

The  principal  table  in  this  collection  is  that  of  Logarithmic  Sines  and 
Tangents.  The  common  tables  in  this  country  extend  only  to  minutes 
with  differences  to  100''.  If,  in  a  trigonometrical  computation,  angles 
are  only  required  to  the  nearest  minute,  tables  to  five  places  are  quite 
sufficient ;  but  if  the  computation  is  to  be  carried  to  seconds,  these  can 
only  be  obtained  from  the  common  tables  by  a  great  expenditure  of 
time  and  labor.  In  the  present  collection,  the  sines  and  tangents  are  fur- 
nished to  every  ten  seconds  of  the  quadrant,  and  at  the  bottom  of  each 
page  is  given  the  correction  for  any  number  of  seconds  less  than  ten,  so 
that  the  precision  of  seconds  can  be  obtained  with  almost  the  same  fa- 
cility as  that  of  minutes  with  the  tables  in  common  use.  Moreover, 
near  the  limits  of  the  quadrant,  by  means  of  an  auxiliary  table,  sines  and 
tangents  are  readily  obtained,  even  for  a  fraction  of  a  second.  The 
method  of  arrangement  of  the  sines  and  tangents  was  suggested  by  a 
table  in  Mackay's  Longitude  ;  but  the  errors  of  that  table,  amounting  to 
several  thousand,  have  been  corrected  by  a  careful  comparison  with  the 
work  of  Ursinus.  By  comparison  with  the  same  standard,  more  than 
two  hundred  errors  (chiefly  in  the  final  figures)  have  been  detected  in 
the  tables  in  common  use. 

The  Table  of  Natural  Sines  and  Tangents  is  of  less  use  than  the  loga- 
rithmic ;  nevertheless,  it  is  often  important  for  reference,  particularly  in 
analytical  geometry  and  the  calculus ;  and  it  is  useful  as  a  stepping- 
stone  to  assist  the  beginner  in  comprehending  the  nature  of  logarithmic 

839138 


iv  Preface. 

sines  and  tangents.  The  Traverse  Table  furnishes  the  latitude  and  de- 
parture to  every  quarter  degree  of  the  quadrant,  for  distances  from  1 
to  100. 

The  Table  of  Meridional  Parts  extends  to  tenths  of  a  mile,  and  great 
care  has  been  taken  to  insure  its  accuracy.  For  this  purpose,  I  have 
compared  all  the  similar  tables  within  my  reach,  and  among  them  have 
found  two  which  appeared  to  have  been  computed  independently.  Be- 
tween them  there  were  detected  674  discrejjancies  in  the  final  figures. 
These  cases  were  all  recomputed,  and  78  errors  were  detected  in  the 
best  copy  compared.  It  is  probable  that  the  numbers  in  this  table  are 
not  in  every  instance  true  to  the  nearest  tenth  of  a  mile ;  but  it  is  be- 
lieved that  the  remaining  errors  are  few  in  number,  as  well  as  minute. 
This  table  is  confidently  pronounced  more  accurate  than  any  similar 
one  with  which  I  have  been  able  to  compare  it. 

The  Table  of  Corrections  to  Middle  Latitude  was  computed  entirely 
anew.  The  corresponding  table  in  common  use,  which  was  originally 
computed  by  Workman,  contains  more  than  four  hundred  errors,  sev- 
eral of  them  amounting  to  two  minutes. 

On  the  whole,  it  is  believed  that  the  accompanying  tables  will  be 
found  more  convenient  to  the  computer  than  any  tables  of  six  decimal 
places  hitherto  published  in  this  country ;  and  that  they  will  be  pro- 
nounced sufficiently  extensive  for  all  purposes  of  academic  and  collegi- 
ate instruction,  as  well  as  for  practical  mechanics  and  surveyors.  • 


EXPLANATION  OF  THE  TABLES. 


10 

u 

ii 

100 

u 

(( 

1000 

(( 

(( 

10,000 

(( 

(C 

Table  of  Logarithms  of  Ntimbers,  pp.  1-20. 

Logarithms  are  numbers  contrived  to  diminish  the  Labor  of  Multipli- 
cation and  Division  by  substituting  in  their  stead  Addition  and  Sub- 
traction. All  numbers  are  regarded  as  powers  of  some  one  number, 
which  is  called  the  hase  of  the  system ;  and  the  exponent  of  that  power 
of  the  base  which  is  equal  to  a  given  number,  is  called  the  logarithm 
of  that  number. 

The  base  of  the  common  system  of  logarithms  (called,  from  their  in- 
ventor, Briggs'  logarithms)  is  the  number  10.  Hence  all  numbers  are 
to  be  regarded  as  powers  of  10.     Thus,  since 

10°  =  1,  0  is  the  logarithm  of  1  in  Briggs'  system: 

10^  =  10,  1      " 

10' =  100,  2      "  " 

10^  =  1000,  3      "  " 

10^  =  10,000,  4      "  " 

&c.,  &c.,  &c. ; 

whence  it  appears  that,  in  Briggs'  system,  the  logarithm  of  every  num- 
ber between  1  and  10  is  some  number  between  0  and  1,  i.  e.,  is  a  prop- 
er fraction.  The  logarithm  of  every  number  between  10  and  100  is 
some  number  between  1  and  2,  i.  e.,  is  1  plus  a  fraction.  The  loga- 
rithm of  every  number  between  100  and  1000  is  some  number  between 
2  and  3,  i.  e.,  is  2  plus  a  fraction,  and  so  on. 

The  preceding  principles  may  be  extended  to  fractions  by  means  of 
negative  exponents.     Thus,  since 

10"' =  0.1,  — 1  is  the  logarithm  of  0.1        in  Briggs'  system: 

10-^  =  0.01,  —2      "  "  0.01  "  " 

10-^  =  0.001,  —3      "  "  0.001  "  " 

10-*  =  0.0001,  —4      "  "  0.0001  "  " 

&c.,  &c.,  &c. 

Hence  it  appears  that  the  logarithm  of  every  number  between  1  and  0.1 
is  some  number  between  0  and  — 1,  or  may  be  represented  by  — 1  plus 
a  fraction ;  the  logarithm  of  every  number  between  0.1  and  .01  is  some 
number  between  — 1   and  — 2,  or  may  be  represented  by  — 2  plus  a 


•vi  .    .....   ,  ,^,. Explanation    of    the    Tables. 


.  r    r 


fraction;  the  logarithm  of  every  number  between  .01  and  .001  is  some 
number  between  — 2  and  — 3,  or  is  equal  to  — 3  plus  a  fraction  and  so  on. 
The  loo-arithms  of  most  numbers,  therefore,  consist  of  an  integer  and 
a  fraction.  The  integral  part  is  called  the  characteristic,  and  may  be 
known  from  the  following 

E.ULE. 

The  characteristic  of  the  loga7'ithm  of  a  nurriber  greater  than  unity 
is  one  less  than  the  nuinber  of  integral  figures  in  the  given  number . 

Thus  the  logarithm  of  297  is  2  plus  a  fraction  ;  that  is,  the  character- 
istic of  the  logarithm  of  297  is  2,  which  is  one  less  than  the  number  of 
integral  figures.  The  characteristic  of  the  logarithm  of  5673.29  is  3; 
that  of  73254.1  is  4,  &c. 

The  characteristic  of  the  logarithm  of  a  decimal  fraction  is  a  nega- 
tive number,  and  is  equal  to  the  number  of  places  by  which  its  first 
significant  figure  is  removed  from  the  place  of  units. 

Thus  the  logarithm  of  .0046  is  — 3  plus  a  fraction ;  that  is,  the  char- 
acteristic of  the  logarithm  is  — 3,  the  first  significant  figure  4  being 
removed  three  places  from  units. 

The  accompanying  table  contains  the  logarithms  of  all  numbers  from 
1  to  10,000  carried  to  6  decimal  places. 

To  find  the  Logarithm  of  any  Number  between  1  and  100. 

Look  on  the  first  page  of  the  table,  along  the  column  of  numbers  un- 
der N,  for  the  given  number,  and  against  it,  in  the  next  column,  will  be 
found  the  logarithm,  with  its  characteristic.     Thus, 

opposite  13  is  1.113943,  which  is  the  logarithm  of  13  ; 
"       65  is  1.812913,  "  "  65. 

To  find  the  Logarithm  of  any  Number  consisting  of  three  Figures. 

Look  on  one  of  the  pages  from  2  to  20,  along  the  left-hand  column 
marked  IST,  for  the  given  number,  and  against  it,  in  the  column  headed  0, 
will  be  found  the  decimal  part  of  its  logarithm.    To  this  the  character 
istic  must  be  prefixed,  according  to  the  rule  already  given.     Thus 
the  logarithm  of  347  will  be  found,  from  page  8,  to  be  2.540329 ; 
"  "  871         "  "  "     18,    "     2.940018. 

As  the  first  two  figures  of  the  decimal  are  the  same  for  several  suc- 
cessive numbers  in  the  table,  they  are  not  repeated  for  each  logarithm 
separately,  but  are  left  to  be  supplied.  Thus  the  decimal  part  of  the 
loo;arithm  of  339  is  .530200.  The  first  two  figures  of  the  decimal  re- 
main  the  same  up  to  347 ;  they  are  therefore  omitted  in  the  table,  and 
are  to  be  supplied. 

To  find  the  Logarithm  of  any  Number  consisting  of  four  Figures. 
Find  the  three  left-hand  figures  in  the  column  marked  N  as  before, 


Explanation   of  the   Tables.  vii 

and  tlie  fourth  figure  at  the  head  of  one  of  the  other  cohimns.  Opposite 
to  the  first  three  figures,  and  in  the  cohinin  under  the  fourth  figure,  will 
be  found  four  figures  of  the  logarithm,  to  which  two  figures  from  the 
column  headed  0  are  to  be  prefixed,  as  in  the  former  case.  The  char- 
acteristic must  be  supplied  by  the  usual  rule.  Thus 
the  logarithm  of  3456  is  3.53S574 ; 
"  "    8765  is  3.942752. 

In  several  of  the  columns  headed  1, 2,  3,  &c.,  small  dots  are  found  in 
the  place  of  figures.  This  is  to  show  that  the  two  figures  which  are  to 
be  prefixed  from  the  first  column  have  changed,  and  they  are  to  be 
taken  from  the  horizontal  line  directly  helow.  The  place  of  the  dots  is 
to  be  supplied  with  ciphers.     Thus 

the  logarithm  of  2045  is  3.310693  ; 
"  "     9777  is  3.990206. 

The  two  leading  figures  from  the  column  0  must  also  be  taken  from 
the  horizontal  line  below,  if  any  dots  have  been  passed  over  on  the  same 
horizontal  line.     Thus 

the  logarithm  of  1628  is  3.211654. 

To  find  the  Logarithm  of  any  Number  containing  more  than  four 

Figures. 

By  inspecting  the  table,  we  shall  find  that  within  certain  limits  the  log- 
arithms are  nearly  proportional  to  their  corresponding  numbers.    Thus 
the  logarithm  of  7250  is  3.860338 ; 
"  "      7251  is  3.860398 ; 

"  "      7252  is  3.860458 ; 

"  "      7253  is  3.860518. 

Here  the  difference  between  the  successive  logarithms,  called  the 
tahular  difference,\%  constantly  60,  corresponding  to  a  difference  of  unity 
in  the  natural  numbers.  If,  then,  we  suppose  the  logarithms  to  be  pro- 
portional to  their  corresponding  numbers  (as  they  are  nearly),  a  differ- 
ence of  0.1  in  the  numbers  should  correspond  to  a  difference  of  6  in  the 
logarithms ;  a  difference  of  0.2  in  the  numbers  should  correspond  to  a 
difference  of  12  in  the  logarithms,  &c.     Hence 

the  logarithm  of  7250.1  must  be  3.860344; 
"  "     7250.2         "       3.860350; 

"  "     7250.3        "      3.860356; 

&c.,  &c. 

In  order  to  facilitate  the  computation,  the  tabular  difference  is  insert- 
ed on  page  16  in  the  column  headed  D,  and  the  proportional  part  for  the 
fifth  figure  of  the  natural  number  is  given  at  the  bottom  of  the  page. 
Thus,  when  the  tabular  difference  is  60  the  corrections  for  .1,  .2,  .3, 
&c.,  are  seen  to  be  6, 12,  18,  &c. 

If  the  given  number  was  72501,  the  characteristic  of  its  logarithm 
would  be  4,  but  the  decimal  part  would  be  the  same  as  for  7250.1. 


viii  Explanation   of  the   Tables. 

If  it  were  required  to  find  the  correction  for  a  sixth  figure  in  the  nat- 
ural number,  it  is  readily  obtained  from  the  Proportional  Parts  in  the 
table.  Thus,  if  the  correction  for  .5  is  30,  the  correction  for  .05  is  ob- 
viously 3. 

As  the  differences  change  rapidly  in  the  first  part  of  the  table,  it 
was  found  inconvenient  to  give  the  proportional  parts  for  each  tabular 
difference ;  accordingly,  for  the  first  seven  pages  they  are  only  given 
for  the  even  differences,  but  the  proportional  parts  for  the  odd  differences 
will  be  readily  found  by  inspection. 
Kequired  the  logarithm  of  452789. 

The  logarithm  of  452700  is  5.655810. 
The  tabular  difference  is  96. 

Accordingly,  the  correction  for  the  fifth  figure,  8,  is  77,  and  for  the 
sixth  figure,  9,  is  8.6,  or  9  nearly.  Adding  these  corrections  to  the  num- 
ber before  found,  we  obtain  5.655896. 

The  preceding  logarithms  do  not  pretend  to  be  perfectly  exact,  but 
only  the  nearest  numbers  having  but  six  decimal  places.     According- 
ly, when  the  fraction  which  is  omitted  exceeds  half  a  unit  in  the  sixth 
decimal  place,  the  last  figure  must  be  increased  by  unity. 
Required  the  logarithm  of  8765432. 

The  logarithm  of  8765000  is  6.942752 

Correction  for  the  fifth  figure  4,  20 

"      sixth  figure  3,  1.5 

"      seventh  figure  2,  0-1 

Therefore  the  logarithm  of  8765432  is 
Required  the  logarithm  of  234567. 

The  logarithm  of  234500  is 

Correction  for  the  fifth  figure  6, 
"  "      sixth  figure  7, 

Therefore  the  logarithm  of  234567  is 

To  find  the  Logarithm  of  a  Decimal  Fraction. 

The  decimal  part  of  the  logarithm  of  any  number  is  the  same  as  that 
of  the  number  multiplied  or  divided  by  10, 100, 1000,  &c.  Hence,  for 
a  decimal  fraction,  we  find  the  logarithm  as  if  the  figures  were  integers, 
and  prefix  the  characteristic  according  to  the  usual  rule. 


6.942774. 

5.370143 

111 

13 

5.370267. 

Examples. 

The  logarithm  of  345.6 

is  2.538574 

u                         u 

87.65 

is  1.942752 

u                        u 

2.345 

is  0.370143 

((                         a 

.1234 

is  1.091315 

u                      u 

.005678 

is  3.754195 

Explanation  of  the  Tables.  ix 

The  minus  sign  is  placed  over  the  characteristic  to  show  that  this 
alone  is  negative,  while  the  decimal  part  of  the  logarithm  is  positive. 

To  find  the  Logarithm  of  a  Vulgar  Fraction. 
We  may  reduce  the  vulgar  fraction  to  a  decimal,  and  find  its  loga- 
rithm by  the  preceding  rule ;  or,  since  the  value  of  a  fraction  is  equal  to 
the  quotient  of  the  numerator  divided  by  the  denominator,  we  may  sub- 
tract the  logarithm  of  the  denominator  from  that  of  the  numerator  ;  the 
difference  will  be  the  logarithm  of  the  quotient. 
Eequired  the  logarithm  ^,  or  0.1875. 

From  the  logarithm  of  3,         0.477121, 
Subtract  the  logarithm  of  16,  1.201:120. 

Leaves  logarithm  of  y^^,  or  .1875,  1.273001. 

In  the  same  manner  we  find 

the  logarithm  of  ^  is  2.861697 ; 
"  "   iff  is  1.147401. 

To  find  the  natural  Nuwher  corresponding  to  any  Logarithm. 

Look  in  the  table  in  the  column  headed  0  for  the  first  two  fio^ures  of 
the  logarithm,  neglecting  the  characteristic ;  the  other  four  figures  are 
to  be  looked  for  in  the  same  column,  or  in  one  of  the  nine  following  col- 
umns ;  and  if  they  are  exactly  found,  the  first  three  figures  of  the  corre- 
sponding number  will  be  found  opposite  to  them  in  the  column  headed 
N,  and  the  fourth  figure  will  be  found  at  the  top  of  the  page.  This  num- 
ber must  be  made  to  correspond  with  the  characteristic  of  the  given 
logarithm  by  pointing  off  decimals  or  annexing  ciphers.     Thus 

the  natural  number  belonging  to  the  logaritlim  4.370143  is  23450  ; 

1.538574  is  34.56. 

If  the  decimal  part  of  the  logarithm  can  not  be  exactly  found  in  the 
table,  look  for  the  nearest  less  logarithm,  and  take  out  the  four  figures 
of  the  corresponding  natural  number  as  before  ;  the  additional  figures 
may  be  obtained  by  means  of  the  Proportional  Parts  at  the  bottom  of 
the  page. 

Required  the  number  belonging  to  the  logarithm  4.368399. 

On  page  6,  we  find  the  next  less  logarithm  .368287. 

The  four  corresponding  figures  of  the  natural  number  are  2335. 
Their  logarithm  is  less  than  the  one  proposed  by  112.  The  tabular 
difference  is  186 ;  and,  by  referring  to  the  bottom  of  page  6,  we  find 
that,  with  a  difference  of  186,  the  figure  corresponding  to  the  Propor- 
tional Part  112  is  6.  Hence  the  five  figures  of  the  natural  number  are 
23356 ;  and,  since  the  characteristic  of  the  proposed  logarithm  is  4,  these 
five  figures  are  all  integral. 

Required  the  number  belonging  to  logarithm  5.345678. 

The  next  less  logarithm  in  the  table  is  .345570. 

Their  difference  is  108. 


Explanation   of   the   Tables. 


The  first  four  figures  of  the  natural  number  are  2216. 
With  the  tabular  difference  196,  the  fifth  figure  corresponding  to  108 
is  seen  to  be  5,  with  a  remainder  of  10,  which  furnishes  a  sixth  figure  5 
nearly.     Hence  the  required  number  is  221655. 
In  the  same  manner  we  find 

the  number  corresponding  to  logarithm  3.538672  is  3456.78  ; 
u  "  "  1.991:605  is  98.7654; 

«  «  «  1.647817  is  .444444. 

Table  of  Natural  Sines  and  Tangents,  pp.  116-133. 
This  is  a  table  of  natural  sines  and  tangents  for  every  degree  and 
minute  of  the  quadrant,  carried  to  six  places  of  figures.  Since  the  ra- 
dius of  the  circle  is  supposed  to  be  unit}^,  the  sine  of  every  arc  below 
90°  is  less  than  unity.  These  sines  are  expressed  in  decimal  parts  of  the 
radius ;  and,  although  the  decimal  point  is  not  written  in  the  table,  it 
must  always  be  prefixed.  The  degrees  are  arranged  in  order  at  the  top 
of  the  page,  and  the  minutes  in  the  left  hand  vertical  column.  Directly 
under  the  given  number  of  degrees  at  the  top  of  the  page,  and  opposite 
to  the  minutes  on  the  left,  will  be  found  the  sine  required.  The  two 
leadino-  figures  are  repeated  at  intervals  of  ten  minutes.     Thus 

the  sine  of  6°  27'  is  .112336 ; 
"       "   28°  53'  is  .483028. 
The  same  number  in  the  table  is  both  the  sine  of  an  arc  and  the  co- 
sine of  its  complement.     The  degrees  for  the  cosines  must  be  sought  at 
the  bottom  of  the  page,  and  the  minutes  on  the  right.     Thus 

the  cosine  of  62°  25'  is  .463038 ; 
"  "    84°  23'  is  .097872. 

If  a  sine  is  required  for  an  arc  consisting  of  degrees,  minutes,  and  sec- 
onds^ it  may  be  found  by  means  of  the  line  at  the  bottom  of  each  page 
which  gives  the  proportional  part  corresponding  to  one  second  of  arc. 
Kequired  the  sine  of  8°  9'  10". 

The  sine  of  8°  9'  is  .141765. 
By  referring  to  the  bottom  of  page  166,  in  the  column  under  8°,  we 
find  the  correction  for  1"  is  4.80  ;  hence  the  correction  for  10"  must  be 
48,  which,  added  to  the  number  above  found,  gives  for  tlie  sine  of  8° 
9'  10",  .141813. 

In  the  same  manner  we  find 

the  cosine  of  56°  34'  28"  is  .550853. 
It  will  be  observed,  that  since  the  cosines  decrease  while  the  arcs  in- 
crease, the  correction  for  the  28"  is  to  be  subtracted  from  the  cosine 

of  56°  34'. 

The  arrangement  of  the  table  of  natural  tangents  is  similar  to  that  of 
the  table  of  sines.  The  tangents  for  arcs  less  than  45°  are  all  less  than 
radius,  and  consist  wholly  of  decimals.  For  arcs  above  45°,  the  tan- 
o-ents  are  all  greater  than  radius  and  contain  both  integral  and  decimal 


Explanation  of  the  Tables.  xi 

figures.     The  proportional  parts  at  the  bottom  of  each  page  enable  us 
readily  to  find  the  correction  for  seconds.     Thus 

the  natural  tangent  of  32°  29'  18''  is    .630784 ; 

"     74°  35'  55"  is  3.63014. 

To  find  the  Number  of  Degrees,  Minutes,  and  Seconds  helonglng  to  a 

given  Sine  or  Tangent. 

If  the  given  sign  or  tangent  is  found  exactly  in  the  table,  the  corre- 
sponding degrees  will  be  found  at  the  top  of  the  page,  and  the  minutes 
on  the  left  hand.  But  when  the  given  number  is  not  found  exactly  in 
the  table,  look  for  the  sine  or  tangent  which  is  next  less  than  the  pro- 
posed one,  and  take  out  the  corresponding  degrees  and  minutes.  Find, 
also,  the  difference  between  this  tabular  number  and  the  number  pro- 
posed, and  divide  it  by  the  proportional  part  for  1"  found  at  the  bottom 
of  the  page ;  tlie  quotient  will  be  the  required  number  of  seconds. 

Required  the  arc  whose  sine  is  .750000, 

The  next  less  sine  in  tlie  table  is  .749919,  the  arc  corresponding  to 
which  is  48°  35'.  The  difference  between  this  sine  and  that  proposed 
is  81,  which,  divided  by  3.21,  gives  25.  Hence  the  required  arc  is  48"^ 
35'  25". 

In  the  same  manner  we  find 

the  arc  whose  tangent  is  2.000000,  to  be  63°  26'  6". 

Table  of  Natural  Secants,  pp.  134—5. 
This  is  a  table  of  natural  secants  for  every  ten  minutes  of  the  quad- 
rant carried  to  seven  places  of  figures.     The  degrees  are  arranged  in 
order  in  the  first  vertical  column  on  the  left,  and  the  minutes  at  the  top 
of  the  page.     Thus 

the  secant  of  21°  20'  is  1.073561 ; 
"         "     81°  50'  is  7.039622. 
If  a  secant  is  required  for  a  number  of  minutes  not  given  in  the  table, 
the  correction  for  the  odd  minutes  may  be  found  by  means  of  the  last 
vertical  column  on  the  right,  which  shows  the  proportional  part  for  one 
minute. 

Let  it  be  required  to  find  the  secant  of  30°  33'. 

The  secant  of  30°  30'  is  1.160592. 
The  correction  for  1'  is  198.9,  which,  multiplied  by  3,  gives  597. 
Adding  this  to  the  number  before  found,  we  obtain  1.161189. 

For  a  cosecant,  the  degrees  must  be  sought  in  the  right-hand  vertical 
column,  and  the  minutes  at  the  bottom  of  the  page.     Thus 
the  cosecant  of  47°  40'  is  1.352742. 

Table  of  Logarithmic  Sines  and  Tangents,  pp.  21-115. 
This  is  a  table  of  the  logarithms  of  the  sines  and  tangents  for  every 
ten  seconds  of  the  quadrant,  carried  to  six  places  of  decimals.     The  de- 


xii  Explanation   of   the   Tables. 


to 


grees  and  seconds  are  placed  at  the  top  of  the  page,  and  the  minutes  in 
the  left  vertical  column.  After  the  first  two  degrees,  the  three  leading 
fio-ures  in  the  table  of  sines  are  only  given  in  the  column  headed  0'',  and 
are  to  be  prefixed  to  the  numbers  in  the  other  columns,  as  in  the  table 
of  logarithms  of  numbers.  Also,  where  the  leading  figures  change,  this 
change  is  indicated  bj  dots,  as  in  the  former  table.  The  correction  for 
any  number  of  seconds  less  than  10  is  given  at  the  bottom  of  the  page. 

To  find  the  Logarithmic  Sine  or  Tangent  of  a  given  Arc. 
Look  for  the  degrees  at  the  top  of  the  page,  the  minutes  on  the  left 
hand,  and  the  next  less  tenth  second  at  the  top ;  then,  under  the  seconds, 
and  opposite  to  the  minutes,  will  be  found  four  figures,  to  which  the 
three  leading  figures  are  to  be  prefixed  from  the  column  headed  0'';  to 
this  add  the  proportional  part  for  the  odd  seconds  from  the  bottom  of 
the  page. 

Kequired  the  logarithmic  sine  of  2-i°  27'  3-i''. 

The  logarithmic  sine  of  24°  27'  30"  is  9.617033. 
Proportional  part  for  4"  is  18. 

Logarithmic  sine  of  24°  27'  34"  is  9.617051. 

This  is  the  logarithm  of  .414049  found  in  the  table  of  natural  sines  on 
page  120.  The  natural  sine  being  less  than  unity,  the  characteristic 
of  its  logarithm  is  negative.  To  obviate  this  inconvenience,  tlie  char- 
acteristics in  the  table  have  all  been  increased  by  10 ;  or  the  logarith- 
mic sines  may  be  regarded  as  the  logarithms  of  natural  sines  comjDuted 
for  a  radius  of  10,000,000,000. 

Required  the  logarithmic  tangent  of  73°  35'  43". 

The  logarithmic  tangent  of  73°  35'  40"  is  10.531031. 

Proportional  part  for  3"  is  23. 

Logarithmic  tangent  of  73°  35'  43"  10.531054. 

When  a  cosine  is  required,  the  degrees  and  seconds  must  be  sought 
at  the  bottom  of  the  page,  and  the  minutes  on  the  right,  and  the  correc- 
tion for  the  odd  seconds  must  be  subtracted  from  the  number  in  the  table. 
Required  the  logarithmic  cosine  of  59°  33'  47". 

The  logarithmic  cosine  of  59°  33'  40"  is  9.704682. 
Proportional  part  for  7"  is  25. 

Logarithmic  cosine  of  59°  33'  47"  is  9.704657. 
So,  also,  the  logarithmic  cotangent  of  37°  27'  14"  is  found  to  be  10.115744. 
The  proportional  parts  given  at  the  bottom  of  each  page  correspond 
to  the  degrees  at  the  top  of  the  page  increased  by  30',  and  are  not 
strictly  applicable  to  any  other  number  of  minutes ;  nevertheless,  the 
differences  of  the  sines  change  so  slowly,  except  near  the  commence- 
ment of  the  quadrant,  that  the  error  resulting  from  using  these  numbers 
for  every  part  of  the  page  will  seldom  exceed  a  unit  in  the  sixth  deci- 
mal place.     For  the  first  two  degrees,  the  differences  change  so  rapidly 


Explanation   of   the   Tables.  xiii 

that  the  proportional  part  for  1"  is  given  for  each  minute  in  the  right- 
hand  cohimn  of  the  page.  The  correction  for  any  number  of  seconds 
less  than  ten  will  be  found  by  multiplying  the  proportional  part  for  1" 
by  the  given  number  of  seconds. 

Eequired  the  logarithmic  sine  of  1°  17'  33". 

The  logarithmic  sine  of  1°  17'  30"  is  8.352991. 
The  correction  for  3"  is  found  by  multiplying  93.4  by  3,  which  gives 
280.     Adding  this  to  the  above  tabular  number,  we  obtain 

the  sine  of  1°  17'  33",  8.353271. 

A  similar  method  may  be  employed  for  several  of  the  first  degrees 
of  the  quadrant,  if  the  proportional  parts  at  the  bottom  of  the  page  are 
not  thought  sufficiently  precise.  This  correction  may,  however,  be  ob- 
tained pretty  nearly  by  inspection  from  comparing  the  proportional 
parts  for  two  successive  degrees.  Thus,  on  page  26,  the  correction  for 
1",  corresponding  to  the  sine  of  2°  30',  is  48  ;  the  correction  for  1",  cor- 
responding to  the  sine  of  3°  30',  is  34.  Hence  the  correction  for  1", 
corresponding  to  the  sine  of  3°  0',  must  be  about  41 ;  and  in  the  same 
manner  we  may  proceed  for  any  other  part  of  the  table. 

Near  the  close  of  the  quadrant,  the  tangents  vary  so  rapidly,  that  the 
same  arrangement  of  the  table  is  adopted  as  for  the  commencement  of 
the  quadrant.  For  the  last  as  well  as  the  first  two  degrees  of  the  quad- 
rant, the  proportional  part  to  1"  is  given  for  each  minute  separately. 
These  proportional  parts  are  computed  for  the  minutes  placed  opposite 
to  them,  increased  by  30',  and  are  not  strictly  applicable  to  any  other 
number  of  seconds ;  nevertheless,  the  differences  for  the  most  part 
change  so  slowly,  that  the  error  resulting  from  using  these  numbers  for 
every  part  of  the  same  horizontal  line  is  quite  small.  "When  great  ac- 
curacy is  required,  the  table  on  page  114  may  be  employed  for  arcs 
near  the  limits  of  the  quadrant.  This  table  furnishes  the  differences 
between  the  logarithmic  sines  and  the  logarithms  of  the  arcs  ex- 
pressed in  seconds.     Thus 

the  logarithmic  sine  of  0°  5'  is  7.162696  ; 
the  logarithm  of  300"  (  =  5')  is  2.477121 ; 

the  difference  is  4.685575. 

This  is  the  number  found  on  page  114,  under  the  heading  log.  sine 
A — log.  A",  opposite  5  min. ;  and  in  a  similar  manner  the  other  numbers 
in  the  same  column  are  obtained.  These  numbers  vary  quite  slowly 
for  two  degrees ;  and  hence,  to  find  the  logarithmic  sine  of  an  arc  less 
than  two  degrees,  we  have  but  to  add  the  logarithm  of  the  arc  expressed 
in  seconds  to  the  appropriate  number  found  in  this  table. 
Eequired  the  logarithmic  sine  of  0°  7'  22". 

Tabular  number  from  page  114,  4.685575. 
The  logarithm  of  442"  is  2.645422. 

Logarithmic  sine  of  0°  7'  22"  is  7.330997. 


xiv  Explanation   of  the   Tables. 

The  logarithmic  tangent  of  an  arc  less  than  two  degrees  is  found  in 
a  similar  manner. 

Required  the  logarithmic  tangent  of  0°  27'  36''. 

Tabular  number  from  page  114,       4.685584. 
The  logarithm  of  1656"  fs  3.219060. 


Logarithmic  tangent  of  0°  27'  36"  is  7.904644. 
The  column  headed  log.  cot.  A  +  log.  A"  is  found  by  adding  the  log- 
arithmic cotangent  to  the  logarithm  of  the  arc  expressed  in  seconds. 
Hence,  to  find  the  logarithmic  cotangent  of  an  arc  less  than  two  degrees, 
we  must  subtract  from  the  tabular  nun;iber  the  los^arithm  of  the  arc  in 
seconds. 

Required  the  logarithmic  cotangent  of  0°  27'  36". 

Tabular  number  from  page  114,  15.314416. 

The  logarithm  of  1656"  is  3.219060. 


Logarithmic  cotangent  of  0°  27'  36"  is  12.095356. 
The  same  method  will,  of  course,  furnish  cosines  and  cotangents  of 
arcs  near  90°. 

The  secants  and  cosecants  are  omitted  in  this  table,  since  they  are 
easily  derived  from  the  cosines  and  sines. 

The  logaritliniic  secant  is  found  hy  subtracting  the  logarithmic 
cosine  from  20;  and  the  logarithmic  cosecant  is  found  hy  suhtracting 
the  logarithmic  sine  from  20. 

Thus  we  have  found  the  logarithmic  sine  of  24°  27'  34"  to  be  9.617051. 
Hence  the  logarithmic  cosecant  of  24°  27'  34"  is  10.382949. 

The  logarithmic  cosine  of  54°  12'  40"  is  9.767008. 

Hence  the  logarithmic  secant  of  54°  12'  40"  is  10.232992. 


"&" 


To  find  the  Arc  corresponding  to  a  given  Logarithmic  Sine  or  Tangent. 

If  the  given  number  is  found  exactly  in  the  table  the  corresponding 
degrees  and  seconds  will  be  found  at  the  top  of  the  page,  and  the  min- 
utes on  the  left.  But  when  the  given  number  is  not  found  exactly  in 
the  table,  look  for  the  sine  or  tangent  which  is  next  less  than  the  pro- 
posed one,  and  take  out  the  corresponding  degrees,  minutes,  and  sec- 
onds. Find,  also,  the  difference  between  this  tabular  number  and  the 
number  proposed,  and,  corresponding  to  this  difference,  at  the  bottom 
of  the  page  will  be  found  a  certain  number  of  seconds,  which  is  to  be 
added  to  the  arc  before  found. 

Required  the  arc  corresponding  to  the  logarithmic  sine  9.750000. 

The  next  less  sine  in  the  table  is  9.749987. 

The  arc  corresponding  to  which  is  34°  13'  0". 

The  difference  between  its  sign  and  the  one  proposed  is  13,  corre- 
sponding to  which,  at  the  bottom  of  the  page,  we  find  4"  nearly.  Hence 
the  required  arc  is  34°  13'  4". 


Explanation  of  the  Tables.         xv 

In  the  same  manner  we  find  tlie  arc  corresponding  to  logaritlimic  tan- 
gent 10.250000,  to  be  60°  38'  51". 

AVhen  the  arc  falls  within  the  first  two  degrees  of  the  quadrant,  the 
odd  seconds  may  be  found  by  dividing  the  difference  between  the  tab- 
ular number  and  the  one  proposed,  by  the  proportional  part  for  1".  We 
thus  find  the  arc  corresponding  to  logarithmic  sine  8.400000,  to  be  1" 
2G'  22"  nearly. 

We  may  employ  the  same  method  for  the  last  two  degrees  of  the 
quadrant  when  a  tangent  is  given  ;  but  near  the  limits  of  the  quadrant 
it  is  better  to  employ  the  auxiliary  table  on  page  114.  If  we  subtract 
the  corresponding  tabular  number  on  page  114  from  the  given  logarith- 
mic sine,  the  remainder  will  be  the  logarithm  of  the  arc  expressed  in 
seconds. 

Required  the  arc  corresponding  to  logarithmic  sine  7.000000. 

We  see,  from  page  22,  that  the  arc  must  be  nearly  3';  the  correspond- 
ing tabular  number  on  page  114  is  4.685575. 

The  difference  is  2.314425  ; 
which  is  the  logarithm  of  206.''265. 

Hence  the  required  arc  is  3'  26.''265. 

In  the  same  manner  we  find  the  arc  corresponding  to  logarithmic 
tangent  8.184608,  to  be  0°  52'  35". 

Table  foe  the  Lengths  of  Cieculak  Aecs,  p.  135. 

This  table  contains  the  lengths  of  every  single  degree  up  to  60,  and 
at  intervals  of  ten  degrees  up  to  180  ;  also  for  every  minute  and  second 
up  to  20.     The  lengths  are  all  expressed  in  decimal  parts  of  radius. 
Required  the  length  of  an  arc  of  57°  17'  44.'  8. 
Take  out  from  their  respective  columns  the  lengths  answering  to 
each  of  these  numbers  singly,  and  add  them  all  together  thus : 

57° 0.9948377 

17' 0049451 

40" 0001939 

4" 0000194 

0."8 0000039 

The  sum  is       1.0000000. 

That  is,  the  length  of  an  arc  of  57°  17'  44."8  is  equal  to  the  radius  of 
the  circle. 

Teaveese  Table,  pp.  136-195. 

This  table  shows  the  difference  of  latitude  and  the  departure  to  two 
decimal  places  for  distances  from  1  to  100,  and  for  bearings  from  0°  to 
90°,  at  intervals  of  15'.  If  the  bearing  is  less  than  45°,  the  angle  will 
be  found  at  the  top  of  one  of  the  pages  of  the  table,  and  the  distance 
on  the  left  and  right  of  the  page ;  tlie  difference  of  latitude  will  be 


xvi  Explanation  of  the   Tables. 

found  in  the  column  headed  lat.  at  the  top  of  the  page,  and  the  depart- 
ure in  the  column  headed  dep.  If  the  bearing  is  more  than  45°,  the 
angle  will  be  found  at  the  bottom  of  the  page,  and  the  difference  of 
latitude  will  be  found  in  the  column  marked  lat.  at  the  bottom  of  the 
page,  and  the  dej)arture  in  the  other  column.  The  latitudes  and  de- 
partures for  different  distances  with  the  same  bearing  are  proportional 
to  the  distances.  Therefore  the  distances  may  be  reckoned  as  tens, 
hundreds,  or  thousands,  if  the  place  of  the  decimal  point  in  each  de- 
parture and  difference  of  latitude  be  changed  accordingly. 

1.  Required  the  latitude  and  departure  for  the  distance  32.25,  and 
the  bearing  10°  30'. 

On  page  148,  under  10°  30',  we  find  following  latitudes  and  depart- 
ures, proper  attention  being  paid  to  the  position  of  the  decimal  points. 
Distance.  Biff.  Lat.  Dep. 

32.00  31.46  5.83 

.25  .25  .05 


32.25  31.71  5.88 

2.  Required  the  latitude  and  departure  for  the  distance  Y654  and 
the  bearing  65°  45'. 

Distance.  Diff.  Lat.  Dcp. 

7600  3121.00  6929.00 

54  22.18  49.24 


7654  3143.18  6978.24 

Table  of  Mekidional  Paets,  pp.  196-202. 

This  table  gives  the  length  of  the  enlarged  meridian  on  Mercator's 
Chart  to  every  minute  of  latitude  ex]Dressed  in  geograjjhical  miles  and 
tentlis  of  a  mile.  The  degrees  of  latitude  are  arranged  in  order  at  the 
top  of  the  page,  and  the  minutes  on  both  the  right  and  left  margins. 
Under  the  degrees  and  opposite  to  the  minutes  are  placed  the  merid- 
ional parts  corresponding  to  any  latitude  less  than  80°.  Thus 
the  meridional  parts  for  latitude  12°  23'  are  748.9 ; 
"  a  u  57°  42' are  4260.5. 

Table  of  Coeeections  to  Middle  Latitude,  p.  203. 

This  table  is  used  in  Navigation  for  correcting  the  middle  latitude. 
The  given  middle  latitude  is  to  be  found  either  in  the  first  or  last  verti- 
cal column,  opposite  to  which,  and  under  the  given  difference  of  latitude, 
is  inserted  the  proper  correction  in  minutes,  to  be  added  to  the  middle 
latitude  to  obtain  the  latitude  in  which  the  meridian  distance  is  accu- 
rately equal  to  the  departure.  Thus,  if  the  middle  latitude  is  41°,  and 
the  difference  of  latitude  14°,  the  correction  will  be  found  to  be  25', 
which,  added  to  the  middle  latitude,  gives  the  corrected  middle  latitude 
41°  25'. 


A  TABLE 

LOGARITHMS 

OF  NUMBERS 

FEOM    1 

TO  10,000. 

N. 

Log. 

N. 

Log. 

N. 

Log. 

N. 

Log. 

I 

0.000000 

26 

I. 414973 

5i 

I .707670 

76 

I. 880814 

2 

o.3oio3o 

27 

i.43i364 

52 

I .716003 

77 

I. 886491 

3 

0.477121 

28 

1.447168 

63 

I .724276 

78 

I .892096 

4 

0.602060 

29 

1.462398 

64 

1.732394 

79 

I .897627 

5 

0.698970 

3o 

I .477121 

55 

i.74o363 

80 

I .903090 

6 

0.778161 

3i 

I .491362 

56 

I. 748188 

81 

1.908486 

7 

0.845098 

32 

I .5o5i5o 

57 

1.766876 

82 

1.913814 

8 

0.903090 

33 

i.5i85i4 

68 

1.763428 

83 

I .919078 

9 

0.954243 

34 

I .53i479 

69 

I .770862 

84 

1 .924279 

lO 

I .000000 

35 

1.544068 

60 

I .778161 

85 

I. 929419 

II 

I .041393 

36 

i.5563o3 

61 

1.785330 

86 

1.934498 

12 

I. 079181 

37 

I .568202 

62 

I .792392 

87 

I .939619 

i3 

1.113943 

38 

1.579784 

63 

I. 799341 

88 

1.944483 

i4 

I .146128 

39 

I .691065 

64 

I. 806180 

89 

I .949390 

i5 

I . 176091 

4o 

I .602060 

65 

1.812913 

90 

1.964243 

i6 

I .204l20 

4i 

I .612784 

66 

I. 819644 

91 

I .969041 

I? 

I .23o449 

42 

I .623249 

67 

1.826075 

92 

1.963788 

i8 

1.255273 

43 

1.633468 

68 

1.832609 

93 

1.968483 

19 

1.278754 

44 

1.643453 

69 

1.838849 

94 

I .973128 

20 

I .3oio3o 

45 

I. 653213 

70 

I   846098 

96 

1.977724 

21 

I .322219 

46 

1,662768 

71 

1.861268 

96 

I .982271 

22 

1.342423 

47 

I .672098 

72 

1.867332 

97 

I .986772 

23 

I. 361728 

48 

I .681241 

73 

1.863323 

98 

I .991226 

24 

I .380211 

49 

I .690196 

74 

1.869232 

99 

I .996635 

25 

1.397940 

5o 

I .698970 

75 

1.876061 

100 

2.000000 

N.B.  In  the  following  table,  the  t 

wo  leading  figures  1 

n  the  first  column 

of  logarithms  are  to  be  prefixed  to  a 

11  the  numbers  of  t 

le  same  horizontal 

line  in  the  next  nine  columns  ;  but 

when  a  point  (.)  occ 

.urs,  its  place  is  to 

be  supplied  by  a  cipher,  and  the  twc 

)  leading  figures  are 

to  be  taken  from 

the  next  lower  line. 

Logarithms   of   Numbers. 


N. 

0 

1 

2 

3 

4 

6 

6 

7 

8 

9 

D. 

lOO 

000000 

0434 

0868 

i3oi 

1734 

2166 

2598 

3029 

3461 

3891 

432 

lOI 

4321 

4751 

5i8i 

5609 

6o38 

6466 

6894 

7321 

7748 

8174 

428 

102 

8600 

9026 

9451 

9876 

.3oo 

,724 

1147 

1570 

1993 

24l5 

424 

io3 

012837 

3259 

368o 

4 1 00 

4521 

4940 

536o 

5779 

6197 

6616 

419 

io4 

7033 

745i 

7868 

8284 

8700 

91 16 

9532 

9947 

.36i 

.775 

4i6 

io5 

021189 

i6o3 

2016 

2428 

284l 

3252 

3664 

4075 

4486 

4896 

4l2 

1 06 

53o6 

5715 

6125 

6533 

6942 

7350 

7757 

8i64 

8571 

8978 

4o8 

107 

9384 

9789 

.195 

.600 

ioo4 

i4o8 

1812 

2216 

2619 

302I 

4o4 

108 

033424 

3826 

4227 

4628 

5029 

543o 

583o 

623o 

6629 

7028 

4oo 

109 

7426 

7825 

8223 

8620 

9017 

94i4 

9811 

.207 

.602 

.998 

396 

no 

041393 

1787 

2182 

2576 

2969 

3362 

3755 

4i48 

4540 

4932 

393 

III 

5323 

5714 

6io5 

6495 

6885 

7275 

7664 

8o53 

8442 

883o 

389 

112 

9218 

9606 

9993 

.38o 

.766 

ii53 

i538 

1924 

2309 

2694 

386 

ii3 

053078 

3463 

3846 

423o 

46i3 

4996 

5378 

5760 

6142 

6524 

382 

ii4 

6905 

7286 

7666 

8o46 

8426 

88o5 

9185 

9563 

9942 

.320 

379 

ii5 

060698 

1075 

l452 

1829 

2206 

2582 

2958 

3333 

3709 

4o83 

376 

116 

4458 

4832 

5206 

558o 

5953 

6326 

6699 

7071 

7443 

7815 

373 

117 

8186 

8557 

8928 

9298 

9668 

..38 

.407 

.776 

1145 

i5i4 

369 

118 

071882 

225o 

2617 

2985 

3352 

3718 

4o85 

445i 

48i6 

5182 

366 

119 

5547 

5912 

6276 

664o 

7004 

7368 

7731 

8094 

8457 

8819 

363 

120 

9181 

9543 

9904 

.266 

.626 

.987 

i347 

1707 

2067 

2426 

36o 

121  1  082785 

3i44 

35o3 

386i 

4219 

4576 

4934 

5291 

5647 

6004  357 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9    D. 

'434 

r  43 

87 

i3o 

174 

217 

260 

3o4 

347 

391 

432 

43 

86 

i3o 

173 

216 

259 

302 

346 

389 

43o 

43 

86 

129 

172 

2l5 

258 

3oi 

344 

387 

428 

43 

86 

128 

171 

2l4 

257 

3oo 

342 

385 

426 

43 

85 

128 

170 

2l3 

256 

298 

34 1 

383 

424 

42 

85 

127 

170 

212 

254 

297 

339 

382 

422 

42 

84 

127 

169 

211 

253 

295 

338 

38o 

420 

42 

84 

126 

168 

210 

252 

294 

336 

378 

4i8 

42 

84 

125 

167 

209 

25l 

293 

334 

376 

4i6 

42 

83 

125 

166 

208 

25o 

291 

333 

374 

4i4 

4i 

83 

124 

166 

207 

248 

290 

33i 

373 

4l2 

4i 

82 

124 

i65 

206 

247 

288 

33o 

371 

4io 

4i 

82 

123 

164 

2o5 

246 

287 

328 

369 

4o8 

4i 

82 

122 

i63 

204 

245 

286 

326 

367 

4o6 

4i 

81 

122 

162 

2o3 

244 

284 

325 

365 

4o4  ro 

4o 

8i 

121 

162 

202 

242 

283 

323 

364 

402  ^ 

4o 

80 

121 

161 

201 

24l 

281 

322 

362 

CD 

4oo  Ph 

4o 

80 

120 

160 

200 

24o 

280 

320 

36o 

0 

a 

398  -3 

40 

80 

119 

159 

199 

239 

279 

3i8 

358 

396 1  < 

4o 

79 

119 

i58 

198 

238 

277 

317 

356 

394 1 

39 

79 

118 

i58 

197 

236 

276 

3i5 

355 

392  g^ 

39 

78 

118 

157 

196 

235 

274 

3i4 

353 

390  ^ 

39 

78 

117 

i56 

195 

234 

273 

3l2 

35i 

388 

39 

78 

116 

i55 

194 

233 

272 

3io 

349 

386 

39 

77 

116 

i54 

193 

232 

270 

•  809 

347 

384 

38 

77 

ii5 

i54 

192 

23o 

269 

307 

346 

382 

38 

76 

ii5 

i53 

191 

229 

267 

3o6 

344 

38o 

38 

76 

ii4 

l52 

190 

228 

266 

3o4 

342 

378 

38 

76 

ii3 

i5i 

189 

227 

265 

3o2 

340 

376 

38 

75 

ii3 

i5o 

188 

226 

263 

3oi 

338 

374 

37 

75 

112 

i5o 

187 

224 

262 

299 

337 

372 

37 

74 

112 

149 

186 

223 

260 

298 

335 

370 

37 

74 

III 

i48 

i85 

222 

259 

296 

333 

368 

37 

74 

no 

147 

1 84 

221 

258 

294 

33i 

366 

37 

73 

no 

i46 

i83 

220 

256 

293 

329 

364 

36 

73 

109 

i46 

182 

218 

255 

291 

328 

362 

36 

72 

109 

145 

181 

217 

253 

290 

326 

36o 

36 

72 

108 

1 44 

180 

216 

252 

288 

324 

Logarithms 

OF  N 

UMBERS. 

3 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

122 

o8636o 

6716 

7071 

7426 

7781 

8i36 

8490 

8845 

9198 

9662 

355 

123 

9905 

.258 

.611 

.963 

i3i5 

1667 

2018 

2370 

2721 

3071 

35i 

124 

093422 

3772 

4l22 

4471 

4820 

6169 

55i8 

5866 

6215 

6562 

349 

125 

6910 

7257 

7604 

795i 

8298 

8644 

8990 

9335 

9681 

..26 

346 

126 

100371 

0715 

1059 

i4o3 

1747 

2091 

2434 

2777 

3i  19 

3462 

343 

127 

38o4 

4i46 

4487 

4828 

5169 

55io 

585i 

6191 

653i 

6871 

341 

128 

7210 

7549 

7888 

8227 

8565 

8903 

9241 

9579 

9916 

.253 

338 

129 

1 10690 

0926 

1263 

1599 

1934 

2270 

26o5 

2940 

3275 

3609 

335 

i3o 

3943 

4277 

46ii 

4944 

5278 

56ii 

5943 

6276 

6608 

6940 

333 

i3i 

7271 

7603 

7934 

8265 

8595 

8926 

9256 

9586 

9915 

.245 

33o 

l32 

120574 

0903 

I23l 

i56o 

1888 

2216 

2544 

2871 

3198 

3525 

328 

i33 

3852 

4178 

45o4 

483o 

5i56 

5481 

58o6 

6i3i 

6456 

6781 

325 

1 34 

7105 

7429 

7753 

8076 

8399 

8722 

9045 

9368 

9690 

. .  12 

323 

i35 

i3o334 

o655 

0977 

1298 

1619 

1939 

2260 

258o 

2900 

3219 

321 

i36 

3539 

3858 

4177 

4496 

48i4 

5i33 

545i 

5769 

6086 

64o3 

3i8 

137 

6721 

7037 

7354 

7671 

7987 

83o3 

8618 

8934 

9249 

9564 

3i5 

i38 

9879 

.194 

.5o8 

.822 

ii36 

i45o 

1763 

2076 

2389 

2702 

3i4 

139 

i43oi5 

3327 

3639 

3951 

4263 

4574 

4885 

5196 

5507 

58i8 

3ii 

i4o 

6128 

6438 

6748 

7o58 

7367 

7676 

7985 

8294 

86o3 

8911 

309 

i4i 

9219 

9527 

9835 

.  142 

.449 

.756 

io63 

1370 

1676 

1982 

307 

142 

152288 

2594 

2900 

32o5 

35io 

38i5 

4l20 

4424 

4728 

5o32 

3o5 

143 

5336 

564o 

5943 

6246 

6549 

6852 

7i54 

7457 

7759 

8061 

3o3 

i44 

8362 

8664 

8965 

9266 

9667 

9868 

.168 

.469 

.769 

1068 

3oi 

i45 

i6i368 

1667 

1967 

2266 

2564 

2863 

3i6i 

3460 

3758 

4o55 

299 

i46 

4353 

465o 

4947 

5244 

5541 

5838 

6i34 

643o 

6726 

7022 

297 

147 

7317 

7613 

7908 

8203 

8497 

8792 

9086 

9380 

9674 

9968 

295 

i48 

170262 

o555 

o848 

I  i4i 

1434 

1726 

2019 

23ll 

2603 

2895 

293 

K 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

'358 

r  36 

72 

107 

143 

179 

2l5 

25l 

286 

322 

356 

36 

71 

107 

142 

178 

2l4 

249 

285 

320 

354 

35 

71 

106 

142 

177 

212 

248 

283 

319 

352 

35 

70 

106 

i4i 

176 

21  I 

246 

282 

3i7 

35o 

35 

70 

io5 

i4o 

175 

210 

245 

280 

3i5 

348 

35 

70 

io4 

139 

174 

209 

244 

278 

3i3 

346 

35 

69 

io4 

i38 

173 

208 

242 

277 

3ii 

344 

34 

69 

io3 

i38 

172 

206 

24 1 

275 

3io 

342 

34 

68 

io3 

137 

171 

2o5 

239 

274 

3o8 

340 

34 

68 

102 

i36 

170 

204 

238 

272 

3o6 

338 

34 

68 

lOI 

t35 

169 

2o3 

237 

270 

3o4 

336 

34 

67 

lOI 

i34 

168 

202 

235 

269 

302 

334  . 

33 

67 

100 

i34 

167 

200 

234 

267 

3oi 

332  t. 

33 

66 

100 

i33 

166 

199 

232 

266 

299 

CO 

33o  ^ 

33 

66 

99 

l32 

i65 

198 

23l 

264 

297 

0) 

0 

328  ^ 

33 

66 

98 

i3i 

1 64 

197 

23o 

262 

295 

£  ■ 

326  0  . 

33 

65 

98 

i3o 

i63 

196 

228 

261 

293 

^ 

324  '-g 

32 

65 

97 

i3o 

162 

194 

227 

269 

292 

5 

322  ° 

32 

64 

97 

129 

161 

193 

225 

258 

290 

320  2 

32 

64 

96 

128 

160 

192 

224 

256 

288 

3i8  ^ 

32 

64 

95 

127 

159 

191 

223 

254 

286 

3i6 

32 

63 

95 

126 

i58 

190 

221 

253 

284 

3i4 

3i 

63 

94 

126 

157 

188 

220 

25l 

283 

3l2 

3i 

62 

94 

125 

1 56 

187 

218 

25© 

281 

31 0 

3i 

62 

93 

124 

i55 

186 

217 

248 

279 

3o8 

3i 

62 

92 

123 

1 54 

i85 

216 

246 

277 

3o6 

3i 

61 

92 

122 

i53 

1 84 

2l4 

245 

275 

3o4 

3o 

61 

91 

122 

l52 

182 

2l3 

243 

274 

302 

3o 

60 

91 

121 

i5i 

181 

21  I 

242 

272 

3oo 

3o 

60 

90 

120 

i5o 

180 

210 

240 

270 

298 

3o 

60 

89 

119 

149 

179 

209 

238 

268 

296 

3o 

59 

89 

118 

i48 

178 

207 

237 

266 

294 

.  29 

59 

88 

118 

147 

176 

206 

235 

265 

4 

Logarithms  of  N 

[J  M  B  E  R  S. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

i49 
i5o 

173186 

347« 

3769 

4o6o 

435i 

464i 

4932 

5222 

55i2 

58o2 

291 

6001 

638i 

6670 

6959 

7248 

7536 

7825 

8ii3 

8401 

8689 

289 

i5i 

8977 

9264 

9552 

9839 

.  126 

.4i3 

.699 

.986 

1272 

i558 

287 

l52 

181844 

2129 

24i5 

2700 

2985 

3270 

3555 

3839 

4l23 

4407 

285 

i53 

4691 

4975 

5259 

5542 

5825 

6108 

6391 

6674 

6956 

7239 

283 

i54 

7521 

7803 

8084 

8366 

8647 

8928 

9209 

9490 

9771 

..5i 

281 

i55 

190332 

3i25 

0612 

0892 

1171 

i45i 

1730 

2010 

2289 

2567 

2846 

279 

i56 

34o3 

368i 

3959 

4237 

45i4 

4792 

5069 

5346 

5623 

278 

i57 

6900 

6176 

6453 

6729 

7005 

7281 

7556 

7832 

8107 

8382 

276 

1 58 

8657 

8932 

9206 

9481 

9755 

..29 

.3o3 

.577 

.85o 

1124 

274 

i59 

201397 

1670 

1943 

2216 

2488 

2761 

3o33 

33o5 

3577 

3848 

272 

i6o 

4l20 

4391 

4663 

4934 

52o4 

5475 

5746 

6016 

6286 

6556 

271 

i6i 

6826 

7096 

7365 

7634 

7904 

8173 

844i 

8710 

8979 

9247  269  1 

162 

95i5 

9783 

..5i 

.319 

.586 

.853 

1 121 

1 388 

i654 

1921 

267 

i63 

212188 

2454 

2720 

2986 

SaSa 

35i8 

3783 

4o49 

43i4 

4579 

266 

i64 

4844 

5109 

5373 

5638 

5902 

6166 

643o 

6694 

6957 

7221 

264 

i65 

7484 

7747 

8010 

8273 

8536 

8798 

9060 

9323 

9585 

9846 

262 

166 

220108 

0370 

o63i 

0892 

ii53 

i4i4 

1675 

1936 

2196 

2456 

261 

167 

2716 

2976 

3236 

3496 

3755 

4oi5 

4274 

4533 

4792 

5o5i 

259 

168 

5309 

5568 

5826 

6084 

6343 

6600 

6858 

71 15 

7372 

763o 

258 

i6q 

7887 

8i44 

84oo 

8657 

8913 

9170 

9426 

9682 

9938 

.193  256 

170 

23o449 

0704 

0960 

]2l5 

1470 

1724 

1979 

2234 

2488 

2742  254 

171 

2996 

325o 

35o4 

3757 

4oi  I 

4264 

4517 

4770 

5o23 

5276 

253 

/ 

172 

5528 

5781 

6o33 

6285 

6537 

6789 

7041 

7292 

7544 

7795 

252 

173 

8o46 

8297 

8548 

8799 

9049 

9299 

9550 

9800 

..5o 

.3oo 

25o 

174 

240549 

0799 

io48 

1297 

1 546 

1795 

2o44 

2293 

254i 

2790 

249 

175 

3o38 

3286 

3534 

3782 

4o3o 

4277 

4525 

4772 

5019 

5266 

248 

176 

55i3 

5759 

6006 

6252 

6499 

6745 

6991 

7237 

7482 

7728 

246 

177 

7973 

8219 

8464 

8709 

8954 

9198 

9443 

9687 

9932 

.  176 

245 

178 

25o420 

0664 

0908 

I  i5i 

1395 

i638 

1881 

2125 

2368 

2610 

243 

179 
180 

2853 

3096 

3338 

358o 

3822 

4o64 

43o6 

4548 

4790 

5o3i 

242 

5273 

55i4 

5755 

5996 

6237 

6477 

6718 

6958 

7198 

7439 

241 

i8i 

7679 

7918 

8i58 

8398 

8637 

8877 

91 16 

9355 

9594 

9833 

239 

N. 

0 

1 

2 

3 

4 

5 

6 

1 

8 

9 

D. 

202 

29 

58 

88 

117 

i46 

175 

ao4 

234 

263 

7 

290 

29 

58 

87 

116 

i45 

174 

203 

23a 

261 

288 

29 

58 

86 

ii5 

i44 

173 

202 

a3o 

aSg 

286 

29 

5? 

86 

ii4 

143 

172 

200 

229 

257 

284 

28 

5? 

85 

ii4 

l42 

170 

199 

227 

256 

282 

28 

56 

85 

ii3 

i4i 

169 

197 

226 

254 

280 

28 

56 

84 

iia 

i4o 

168 

196 

224 

252 

278 

28 

56 

83 

III 

139 

167 

195 

222 

25o 

/ 

276 

28 

55 

83 

no 

1 38 

166 

193 

221 

248 

274  00 

27 

55 

8a 

1 10 

i37 

i64 

192 

219 

247 

272  js 

27 

54 

8a 

109 

i36 

i63 

190 

218 

245 

06 

270  tLt 

27 

54 

81 

io8 

i35 

162 

189 

216 

243 

8 

268  -- 

27 

54 

80 

107 

1 34 

161 

188 

2l4 

24 1 

s 
S  ' 

266  =  ■ 

27 

53 

80 

106 

i33 

160 

186 

2l3 

a39 

q 

264  -J 

26 

53 

79 

106 

l32 

i58 

i85 

an 

.238 

Q 

2D2  0 

26 

5a 

79 

io5 

i3i 

157 

i83 

210 

336 

r^ 

260  P 

26 

52 

78 

io4 

i3o 

i56 

i8a 

208 

234 

258  pi 

26 

52 

77 

io3 

129 

i55 

181 

206 

232 

256 

26 

5i 

77 

102 

128 

1 54 

179 

205 

23o 

254 

25 

5i 

76 

loa 

127 

i5a 

178 

2o3 

229 

25a 

25 

5o 

76 

lOI 

126 

i5i 

176 

20a 

227 

25o 

25 

5o 

75 

100 

125 

i5o 

175 

200 

225 

248 

a5 

5o 

74 

99 

124 

149 

174 

198 

223 

246 

25 

49 

74 

98 

123 

i48 

17a 

197 

221 

244 

24 

49 

73 

98 

122 

i46 

171 

195 

220 

24a 

24 

48 

73 

97 

121 

i45 

169 

194 

218 

240 

24   48 

72 

96 

120 

1 44 

168 

19a 

216 

LOGAIIITHMS  OF  N 

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LOGAKITHMS  OF  N 

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85 

99 

ii4 

128 

i4o 

i4   28 

42 

56 

70 

84 

98 

112 

126 

8 


Logarithms   of   Numbers. 


N. 

0 

1  1  2 

3 

4 

5 

6 

7 

8 

9 

D. 

3l2 

494155 

4294 

4433 

4572 

4711 

485o 

4989 

5i28 

5267 

5406 

189 

3i3 

5544 

5683 

5822 

5960 

6099 

6288 

6876 

65i5 

6653 

6791 

3i4 

6930 

7068 

7206 

7344 

7483 

7621 

7759 

7897 

8o35 

8173 

i38 

3i5 

83ii 

8448 

8586 

8724 

8862 

8999 

9187 

9275 

9412 

9550 

3i6 

9687 

9824 

9962 

••99 

.236 

.374 

.5ii 

.648 

.785 

.922 

187 

3i7 

5oio59 

1196 

i333 

1470 

1607 

1744 

1880 

2017 

2 1 54 

2291 

3i8 

2427 

2564 

2700 

2887 

2973 

8109 

3246 

8882 

35i8 

8655 

i36 

319 

3791 

3927 

4o63 

4199 

4335 

4471 

4607 

4743 

4878 

5oi4 

320 

5i5o 

5286 

5421 

5557 

5693 

5828 

5964 

6099 

6234 

6870 

321 

65o5 

664o 

6776 

6911 

7046 

7181 

7816 

745i 

7586 

7721 

i35 

322 

7856 

7991 

8126 

8260 

8895 

853o 

8664 

8799 

8934 

9068 

323 

9203 

9337 

9471 

9606 

9740 

9874 

...9 

.143 

.277 

.411 

1 84 

324 

5io545 

0679 

o8i3 

0947 

1081 

I2l5 

1849 

1482 

1616 

1750 

325 

i883 

2017 

2l5l 

2284 

2418 

255i 

2684 

2818 

2951 

3o84 

i33 

326 

3218 

335i 

3484 

3617 

8750 

3883 

4oi6 

4i49 

4282 

44i5 

327 

4548 

468i 

48i3 

4946 

5079 

52II 

5844 

5476 

5609 

5741 

328 

5874 

6006 

6139 

6271 

64o3 

6535 

6668 

6800 

6982 

7064 

182 

329 

7196 

7328 

7460 

7592 

7724 

7855 

7987 

8119 

825i 

8382 

33o 

85i4 

8646 

8777 

8909 

9040 

9171 

9808 

9434 

9566 

9697 

i3i 

33i 

9828 

9959 

•  .90 

.221 

.353 

.484 

.6i5 

.745 

.876 

1007 

332 

52ii38 

1269 

i4oo 

i53o 

1661 

1792 

1922 

2o53 

2i83 

23i4 

333 

2444 

2575 

2705 

2835 

2966 

8096 

3226 

3856 

3486 

36i6 

i3o 

334 

3746 

3876 

4oo6 

4i36 

4266 

4396 

4526 

4656 

4785 

4915 

335 

5o45 

5174 

53o4 

5434 

5563 

5698 

5822 

5951 

6081 

6210 

129 

336 

6339 

6469 

6598 

6727 

6856 

6985 

7114 

7243 

7872 

75oi 

337 

7630 

7759 

7888 

8016 

8145 

8274 

84o2 

853i 

8660 

8788 

338 

8917 

9045 

9174 

9802 

9480 

9559 

9687 

9815 

9943 

..72 

128 

339 

53o2oo 

o328 

o456 

o584 

0712 

o84o 

0968 

1096 

1228 

i35i 

340 

1479 

1607 

1734 

1862 

1990 

2117 

2245 

2872 

25oo 

2627 

34 1 

2754 

2882 

3009 

3i36 

8264 

8891 

35i8 

8645 

3772 

8899 

127 

342 

4026 

4i53 

4280 

4407 

4534 

466i 

4787 

4914 

5o4i 

5167 

343 

5294 

5421 

5547 

5674 

58oo 

5927 

6o53 

6180 

63o6 

6482 

126 

344 

6558 

6685 

681 1 

6937 

7068 

7189 

73i5 

7441 

7567 

7693 

345 

7819 

7945 

8071 

8197 

8822 

8448 

8574 

8699 

8825 

8951 

346 

9076 

9202 

9327 

9452 

9578 

9708 

9829 

9954 

••79 

.204 

125 

347 

540829 

0455 

o58o 

0705 

0880 

0955 

1080 

I205 

i33o 

1454 

348 

1579 

1704 

1829 

1953 

2078 

2208 

2827 

2452 

2576 

2701 

349 

2825 

2950 

3074 

8199 

8828 

3447 

3571 

8696 

3820 

3944 

124 

35o 

4o68 

4192 

43i6 

4440 

4564 

4688 

48l2 

4986 

5o6o 

5i88 

35i 

5307 

543i 

5555 

5678 

58o2 

5925 

6049 

6172 

6296 

6419 

352 

6543 

6666 

6789 

6918 

7o36 

7159 

7282 

74o5 

7529 

7652 

128 

I  353 

7775 

7898 

8021 

8144 

8267 

8889 

85i2 

8635 

8758 

888i 

354 

9008 

9126 

9249 

9871 

9494 

9616 

9789 

9861 

9984 

.  106 

355 

550228 

o35i 

0473 

0595 

0717 

o84o 

0962 

io84 

1206 

1828 

122 

356 

i45o 

1572 

1694 

1816 

1938 

2060 

2l8l 

2808 

2425 

2547 

357 

2668  i  2790 

2911 

3o33 

3i55 

8276 

3398 

3519 

864o 

3762 

121 

358 

3883 

4oo4 

4126 

4247 

4868 

4489 

4610 

4731 

4852 

4973 

359 

5094 

52i5 

5336 

5457 

5578 

5699 

5820 

5940 

6061 

6182 

36o 

63o3 

6423 

6544 

6664 

6785 

6905 

7026 

7146 

7267 

7387 

120 

36i 

7507 

7627 

7748 

7868 

7988 

8108 

8228 

8349 

8469 

8589 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

'i38 

•  i4 

28 

4i 

55 

69 

83 

97 

no 

124 

I  36  aj 

i4 

27 

4i 

54  . 

68 

82 

95 

109 

122 

i34  1 

i3 

27 

4o 

54 

67 

80 

94 

107 

121 

b5 

i32  et, 

i3 

26 

4o 

58 

66 

79 

92 

106 

119 

0 

n 

i3o  -s 

i3 

26 

39 

52 

65 

78 

91 

io4 

117 

128  -2 

i3 

26 

38 

5i 

64 

77 

90 

102 

ii5 

5 

126  g 

i3 

25 

38 

5o 

63 

76 

88 

lOI 

ii3 

rn 

124  0 

12 

25 

37 

5o 

62 

74 

87 

99 

112 

122  £ 

12 

24 

37 

49 

6i 

73 

85 

98 

1 10 

^  120 

12 

24 

36 

48 

60 

72 

84 

96 

108 

Logarithms  of  Ni 

[JMBERS. 

9 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

363 

558709 

8829 

8948 

9068 

9188 

9308 

9428 

9548 

9667 

9787 

X20 

363 

9907 

..26 

.i46 

.265 

.385 

.5o4 

.624 

.743 

.863 

.982 

364 

56i lor 

1221 

i34o 

1459 

1578 

1698 

1817 

1936 

2o55 

2174 

XX9 

365 

2293 

2412 

253i 

265o 

2769 

2887 

3oo6 

3x25 

3244 

3362 

366 

3481 

36oo 

3718 

3837 

3955 

4074 

4192 

43x1 

4429 

4548 

367 

4666 

4784 

4903 

5o2i 

5i39 

5257 

5376 

5494 

56x2 

5780 

1x8 

368 

5848 

5966 

6084 

6202 

6320 

6437 

6555 

6673 

6791 

6909 

369 

7026 

7144 

7262 

7379 

7497 

7614 

7732 

7849 

7967 

8084 

370 

8202 

83i9 

8436 

8554 

8671 

8788 

8905 

9023 

9x40 

9257 

117 

371 

9374 

9491 

9608 

9725 

9842 

9959 

..76 

.  193 

.309 

.426 

372 

570543 

0660 

0776 

0893 

lOIO 

1126 

1243 

1359 

1476 

1592 

373 

1709 

1825 

1942 

2o58 

2174 

2291 

2407 

2523 

2689 

2755 

116 

374 

2872 

2988 

3io4 

3220 

3336 

3452 

3568 

3684 

38oo 

39x5 

375 

4o3i 

4i47 

4263 

4379 

4494 

46x0 

4726 

484 1 

4957 

5072 

376 

5i88 

53o3 

5419 

5534 

565o 

5765 

588o 

5996 

6x  XX 

6226 

ii5 

377 

634i 

6457 

6572 

6687 

6802 

6917 

7o32 

7147 

7262 

7377 

378 

7492 

7607 

7722 

7836 

7951 

8066 

8i8x 

8295 

84io 

8525 

379 

8689 

8754 

8868 

8983 

9097 

9212 

9326 

9441 

9555 

9669 

ii4 

38o 

9784 

9898 

.  .12 

.  126 

.241 

.355 

.469 

.583 

.697 

.8xx 

38i 

580925 

loSg 

ii53 

1267 

i38i 

1495 

1608 

1722 

i836 

1950 

382 

2o63 

2177 

2291 

24o4 

25i8 

263i 

2745 

2858 

2972 

3o85 

383 

3ig9 

33i2 

3426 

3539 

3652 

3765 

3879 

3992 

4xo5 

4218 

xx3 

384 

433i 

4444 

4557 

4670 

4783 

4896 

5009 

5X22 

5235 

5348 

385 

5461 

5574 

5686 

5799 

5912 

6024 

6137 

625o 

6362 

6475 

386 

6587 

6700 

6812 

6925 

7037 

7149 

7262 

7374 

7486 

7599 

XX2 

387 

7711 

7823 

7935 

8047 

8160 

8272 

8384 

8496 

8608 

8720 

388 

8832 

8944 

9o56 

9167 

9279 

9391 

95o3 

9615 

9726 

9838 

389 

9950 

..61 

.173 

.284 

.396 

.507 

.6x9 

.730 

.842 

.953 

390 

591065 

1176 

1287 

1399 

i5io 

1621 

1732 

1843 

1955 

2066 

III 

391 

2177 

2288 

2399 

25lO 

2621 

2732 

2843 

2954 

3o64 

3175 

392 

3286 

3397 

35o8 

36i8 

3729 

384o 

3950 

4o6x 

4171 

4282 

393 

4393 

45o3 

46i4 

4724 

4834 

4945 

5o55 

5x65 

5276 

5386 

no 

394 

5496 

56o6 

5717 

5827 

5937 

6047 

6x57 

6267 

6377 

6487 

395 

6597 

6707 

6817 

6927 

7037 

7 1 46 

7256 

7366 

7476 

7586 

396 

7695 

7805 

7914 

8024 

8i34 

8243 

8353 

8462 

8572 

8681 

397 

8791 

8900 

9009 

9119 

9228 

9337 

9446 

9556 

9665 

9774 

109 

398 

9883 

9992 

.  lOI 

.210 

.3x9 

.428 

.537 

.646 

.755 

.864 

399 

600973 

1082 

1191 

1299 

i4o8 

i5x7 

1625 

1734 

1843 

X951 

4oo 

2060 

2169 

2277 

2386 

2494 

2603 

27X I 

2819 

2928 

3o36 

108 

4oi 

3i44 

3253 

336i 

3469 

3577 

3686 

3794 

3902 

4oxo 

4ii8 

402 

4226 

4334 

4442 

455o 

4658 

4766 

4874 

4982 

5089 

5x97 

4o3 

53o5 

54i3 

5521 

5628 

5736 

5844 

5951 

6059 

6x66 

6274 

4o4 

638i 

6489 

6596 

6704 

6811 

69x9 

7026 

7x33 

7241 

7348 

107 

4o5 

7455 

7562 

7669 

7777 

7884 

799X 

8098 

82o5 

83x2 

8419 

406 

8526 

8633 

8740 

8847 

8954 

906X 

9x67 

9274 

9381 

9488 

407 

9594 

9701 

9808 

9914 

,  .21 

.128 

.234 

.341 

.447 

.554 

4o8 

610660 

0767 

0873 

0979 

1086 

1192 

1298 

i4o5 

i5ii 

1617 

106 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

'  "9 

12 

24 

36 

48 

60 

71 

83 

95 

107 

118 

12 

24 

35 

47 

59 

71 

83 

94 

106 

"7  ^ 

12 

23 

35 

47 

59 

70 

82 

94 

io5 

116  -£ 

12 

23 

35 

46 

58 

70 

81 

93 

io4 

<A 

Il5;^ 

12 

23 

35 

46 

58 

69 

8x 

92 

io4 

0 

"4^ 

II 

23 

34 

46 

57 

68 

80 

91 

io3 

s 
£ 

ii3  %   , 

II 

23 

34 

45 

57 

68 

79 

90 

102 

1  ^ 

0 

112  « 

II 

22 

34 

45 

56 

67 

78 

90 

lOI 

s 

III  g, 

II 

22 

33 

44 

56 

67 

78 

89 

100 

no  2 

II 

22 

33 

44 

55 

66 

77 

88 

99 

109  ^ 

II 

22 

33 

44 

55 

65 

76 

87 

98 

108 

II 

22 

32 

43 

54 

65 

76 

86 

97 

107   1^  II 

21 

32 

43 

54 

64 

75 

86 

96 

10 

LOGAEITHMS 

DF  N 

UMBEKS. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

409 

611723 

1829 

1936 

2042 

2i48 

2254 

236o 

2466 

2572 

2678 

106 

4io 

2784 

2890 

2996 

3l02 

3207 

33i3 

3419 

3525 

363o 

3736 

All 

3842 

3947 

4o53 

4i59 

4264 

4370 

4475 

458i 

4686 

4792 

4l2 

4897 

5oo3 

5io8 

52i3 

5319 

5424 

5529 

5634 

5740 

5845 

io5 

4i3 

5960 

6o55 

6160 

6265 

6370 

6476 

658 1 

6686 

6790 

6895 

4i4 

7000 

7105 

7210 

73i5 

7420 

7525 

7629 

7734 

7839 

7943 

4i5 

8o48 

8i53 

8257 

8362 

8466 

8571 

8676 

8780 

8884 

8989 

4i6 

9093 

9198 

9302 

9406 

95ii 

9615 

9719 

9824 

9928 

..32 

io4 

417 

620i36 

0240 

o344 

o448 

o552 

o656 

0760 

0864 

0968 

1072 

4i8 

1176 

1280 

1 384 

i488 

1592 

1695 

1799 

1903 

2007 

21 10 

419 

22l4 

23i8 

2421 

2525 

2628 

2732 

2835 

2939 

3o42 

3i46 

420 

3249 

3353 

3456 

3559 

3663 

3766 

3869 

3973 

4076 

4179 

io3 

421 

4282 

4385 

4488 

4591 

4695 

4798 

4901 

5oo4 

5io7 

52IO 

4a2 

53i2 

54i5 

55i8 

5621 

5724 

5827 

5929 

6o32 

6i35 

6238 

423 

634o 

6443 

6546 

6648 

6751 

6853 

6956 

7o58 

7161 

7263 

424 

7366 

7468 

7571 

7673 

7775 

7878 

7980 

8082 

8i85 

8287 

102 

425 

8389 

8491 

8593 

8695 

8797 

8900 

9002 

9104 

9206 

9308 

426 

9410 

9512 

9613 

97i5 

9817 

9919 

.  .21 

,123 

.224 

.326 

427 

63o428 

o53o 

o63i 

0733 

o835 

0936 

io38 

1 1 39 

I24l 

1 342 

428 

i444 

i545 

1647 

1748 

1849 

1951 

2052 

2i53 

2255 

2356 

101 

429 

2457 

2559 

2660 

2761 

2862 

2963 

3o64 

3i65 

3266 

3367 

43o 

3468 

3569 

3670 

3771 

3872 

3973 

4074 

4175 

4276 

4376 

43i 

4477 

4578 

4679 

4779 

4880 

4981 

5o8i 

5182 

5283 

5383 

100 

432 

5484 

5584 

5685 

5785 

5886 

5986 

6087 

6187 

6287 

6388 

433 

6488 

6588 

6688 

6789 

6889 

6989 

7089 

7189 

7290 

7390 

434 

7490 

7590 

7690 

7790 

7890 

7990 

8090 

8190 

8290 

8389 

435 

8489 

8589 

8689 

8789 

8888 

8988 

9088 

9188 

9287 

9387 

99 

436 

9486 

9586 

9686 

9785 

9885 

9984 

..84 

.183 

.283 

.382 

437 

64o48i 

o58i 

0680 

0779 

0879 

0978 

1077 

1177 

1276 

1375 

438 

1474 

1573 

1672 

1771 

1871 

1970 

2069 

2168 

2267 

2366 

439 

2465 

2563 

2662 

2761 

2860 

2959 

3o58 

3i56 

3255 

3354 

44o 

3453 

355i 

365o 

3749 

3847 

3940 

4o44 

4i43 

4242 

4340 

98 

44 1 

4439 

4537 

4636 

4734 

4832 

4931 

5029 

5i27 

5226 

5324 

442 

5422 

5521 

56i9 

5717 

58i5 

5913 

6011 

6110 

6208 

63o6 

443 

64o4 

65o2 

6600 

6698 

6796 

6894 

6992 

7089 

7187 

7285 

444 

7383 

7481 

7579 

7676 

7774 

7872 

7969 

8067 

8i65 

8262 

445 

836o 

8458 

8555 

8653 

8750 

8848 

8945 

9043 

9140 

9237 

97 

446 

9335 

9432 

9530 

9627 

9724 

9821 

9919 

..16 

.113 

.210 

447 

65o3o8 

o4o5 

o5o2 

0599 

0696 

0793 

0890 

0987 

1084 

1181 

448 

1278 

1375 

1472 

1569 

1666 

1762 

1859 

1956 

2o53 

2i5o 

449 

2246 

2343 

2440 

2536 

2633 

2730 

2826 

2923 

3019 

3ii6 

45o 

32i3 

3309 

34o5 

35o2 

3598 

3695 

3791 

3888 

3984 

4o8o 

96 

45i 

4177 

4273 

4369 

4465 

4562 

4658 

4754 

485o 

4946 

5o42 

452 

5i38 

5235 

533i 

5427 

5523 

5619 

5715 

58io 

5906 

6002 

453 

6098 

6194 

6290 

6386 

6482 

6577 

6673 

6769 

6864 

6960 

454 

7o56 

7i52 

7247 

7343 

7438 

7534 

7629 

7725 

7820 

7916 

455 

8011 

8107 

8202 

8298 

8393 

8488 

8584 

8679 

8774 

8870 

95 

456 

8965 

9060 

9155 

925o 

9346 

9441 

9536 

9631 

9726 

9821 

457 

9916 

.  .11 

.106 

.201 

.296 

.391 

.486 

.58i 

.676 

.771 

N. 

-  0 

1 

2 

3 

4 

5 

6 

1 

8 

9 

D. 

'  106 

'  11 

21 

32 

42 

53 

64 

74 

85 

95 

io5  . 

II 

21 

32 

42 

53 

63 

74 

84 

95 

io4  1 

10 

21 

3i 

42 

52 

62 

73 

83 

94 

06 

io3^ 

10 

21 

3i 

4i 

52 

62 

72 

82 

93 

0 

102  ^ 

10 

20 

3i 

4i 

5i 

61 

71 

82 

92 

3 

lOI  |. 

10 

20 

3o 

40 

5i 

61 

71 

81 

91 

^ 

100  '^ 

10 

20 

3o 

4o 

5o 

60 

70 

80 

90 

Q 

99  a 

10 

20 

3o 

4o 

5o 

59 

69 

79 

89 

^^1 

10 

20 

29 

39 

49 

59 

69 

78 

88 

97  ^ 

10 

19 

29 

39 

49 

58 

68 

78 

87 

.  96 

10 

19 

29 

38 

48 

58 

67 

77 

86 

Logarithms  of  N 

U  M  B  E  K  S. 

11 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

458 

66o865 

0960 

io55 

I  i5o 

1245 

1339 

1434 

1529 

1623 

1718 

95 

459 

i8i3 

1907 

2002 

2096 

2191 

2286 

238o 

2475 

2569 

2663 

460 

2758 

2852 

2947 

3o4i 

3i35 

323o 

3324 

3418 

35i2 

3607 

94 

46i 

3701 

3795 

3889 

3983 

4078 

4172 

4266 

436o 

4454 

4548 

462 

4642 

4736 

483o 

4924 

5oi8 

5lI2 

6206 

5299 

5393 

5487 

463 

558i 

5675 

5769 

5862 

5956 

6o5o 

6143 

6237 

633i 

6424 

464 

65 1 8 

6612 

6705 

6799 

6892 

6986 

7079 

7173 

7266 

7360 

465 

7453 

7546 

7640 

7733 

7826 

7920 

8oi3 

8106 

8199 

8293 

93 

466 

8386 

6479 

8572 

8665 

8759 

8852 

8945 

9o38 

9i3i 

9224 

467 

9317 

9410 

95o3 

9596 

9689 

9782 

9875 

9967 

..60 

.i53 

468 

670246 

0339 

043 1 

o524 

0617 

0710 

0802 

0895 

0988 

1080 

469 

1173 

1265 

i358 

i45i 

1 543 

i636 

1728 

1821 

1913 

2005 

470 

2098 

2190 

2283 

2375 

2467 

256o 

2652 

2744 

2836 

2929 

92 

471 

302I 

3ii3 

32o5 

3297 

3390 

3482 

3574 

3666 

3758 

385o 

472 

3942 

4o34 

4126 

4218 

43io 

44o2 

4494 

4586 

4677 

4769 

473 

486i 

4953 

5o45 

5i37 

5228 

5320 

5412 

55o3 

5595 

5687 

474 

5778 

5870 

6962 

6o53 

6i45 

6236 

6328 

6419 

65ii 

6602 

475 

6694 

6785 

6876 

6968 

7059 

7i5i 

7242 

7333 

7424 

75i6 

91 

476 

7607 

7698 

7789 

7881 

7972 

8o63 

8i54 

8245 

8336 

8427 

477 

85i8 

8609 

8700 

8791 

8882 

8973 

9064 

9155 

9246 

9337 

478 

9428 

9619 

9610 

9700 

9791 

9882 

9973 

..63 

.i54 

.245 

479 

68o336 

0426 

o5i7 

0607 

0698 

0789 

0879 

0970 

1060 

ii5i 

48o 

1 24 1 

i332 

1422 

i5i3 

i6o3 

1693 

1784 

1874 

1964 

2o55 

90 

48 1 

2 1 45 

2235 

2326 

2416 

25o6 

2596 

2686 

2777 

2867 

2957 

482 

3o47 

3i37 

3227 

3317 

3407 

3497 

3587 

3677 

3767 

3857 

483 

3947 

4o37 

4127 

4217 

4307 

4396 

4486 

4576 

4666 

4756 

484 

4845 

4935 

5o25 

5ii4 

52o4 

5294 

5383 

5473 

5563 

5652 

485 

5742 

583i 

5921 

6010 

6100 

6189 

6279 

6368 

6458 

6547 

89 

486 

6636 

6726 

68i5 

6904 

6994 

7083 

7172 

7261 

735i 

7440 

487 

7529 

7618 

7707 

7796 

7886 

7975 

8064 

8i53 

8242 

833i 

488 

8420 

85o9 

8598 

8687 

8776 

8865 

8953 

9042 

9i3x 

9220 

489 

9309 

9398 

9486 

9575 

9664 

9753 

9841 

9930 

..19 

.  107 

490 

690196 

0285 

0373 

0462 

o55o 

0639 

0728 

0816 

0905 

0993 

491 

1081 

1170 

1258 

i347 

1435 

i524 

1612 

1700 

1789 

1877 

88 

492 

1965 

2o53 

2142 

223o 

23i8 

2406 

2494 

2583 

2671 

2759 

493 

2847 

2935 

3o23 

3i  II 

3199 

3287 

3375 

3463 

355i 

3639 

494 

3727 

38i5 

3903 

3991 

4078 

4166 

4254 

4342 

443o 

4517 

495 

46o5 

4693 

4781 

4868 

4956 

5o44 

5i3i 

5219 

5307 

5394 

496 

5482 

5569 

5657 

5744 

5832 

5919 

6007 

6094 

6182 

6269 

87 

497 

6356 

6444 

653i 

6618 

6706 

6793 

6880 

6968 

7055 

7142 

498 

7229 

7317 

74o4 

7491 

7578 

7665 

7752 

7839 

7926 

8oi4 

499 

8101 

8188 

8275 

8362 

8449 

8535 

8622 

8709 

8796 

8883 

5oo 

8970 

9057 

9144 

9231 

9317 

94o4 

9491 

9578 

9664 

975i 

5oi 

9838 

9924 

..II 

..98 

.184 

.271 

.358 

.444 

.531 

.617 

5o2 

700704 

0790 

0877 

0963 

io5o 

1 1 36 

1222 

i3o9 

1395 

1482 

86 

5o3 

i568 

i654 

1741 

1827 

1913 

1999 

2086 

2172 

2258 

2  344 

5o4 

243l 

25i7 

26o3 

2689 

2775 

2861 

2947 

3o33 

3119 

32o5 

5o5 

3291 

3377 

3463 

3549 

3635 

3721 

3807 

3893 

3979 

4o65 

5o6 

4i5i 

4236 

4322 

4408 

4494 

4579 

4665 

4751 

4837 

4922 

5o7 

5oo8 

5094 

5i79 

5265 

535o 

5436 

5522 

5607 

5693 

5778 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

(-95 

'  10 

19 

29 

38 

48 

57 

67 

76 

86 

94  i 

9 

19 

28 

38 

47 

56 

66 

75 

85 

93  S 

9 

19 

28 

37 

47 

56 

65 

74 

84 

92  ^ 

9 

18 

28 

37 

46 

55 

64 

74 

83 

0 

3 

91  1 

9 

18 

27 

36 

46 

55 

64 

73 

82 

90  1  1   9 

18 

27 

36 

45 

54 

63 

72 

81 

89  S 

9 

18 

27 

36 

45 

53 

62 

71 

80 

88  ^ 

9 

18 

26 

35 

44 

53 

62 

70 

79 

87  ^ 

9 

17 

26 

35 

44 

52 

61 

70 

78 

86 

I   9 

17 

26 

34 

43 

52 

60 

69 

77 

12 

Logarithms  of  N 

UMBERS. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

5o8 

7o5864 

5949 

6o35 

6120 

6206 

6291 

6376 

6462 

6547 

6632 

85 

5o9 

6718 

68o3 

6888 

6974 

7059 

7144 

7229 

73i5 

7400 

7485 

5io 

7570 

7655 

7740 

7826 

7911 

7996 

8081 

8166 

825i 

8336 

5ii 

8421 

85o6 

8591 

8676 

8761 

8846 

8931 

9015 

9100 

9185 

5l2 

9270 

9355 

9440 

9524 

9609 

9694 

9779 

9863 

9948 

..33 

5i3 

7101 17 

0202 

0287 

0371 

o456 

o54o 

0625 

0710 

0794 

0879 

5i4 

0963 

io48 

Il32 

1217 

i3oi 

i385 

1470 

1 554 

1639 

1723 

84 

5i5 

1807 

1892 

1976 

2060 

2i44 

2229 

23i3 

2397 

2481 

2566 

5i6 

265o 

2734 

2818 

2902 

2986 

3070 

3i54 

3238 

3323 

3407 

5i7 

3491 

3575 

3659 

3742 

3826 

3910 

3994 

4078 

4162 

4246 

5i8 

433o 

44i4 

4497 

458 1 

4665 

4749 

4833 

4916 

5ooo 

5o84 

619 

5167 

525i 

5335 

5418 

55o2 

5586 

5669 

5753 

5836 

5920 

520 

6oo3 

6087 

6170 

6254 

6337 

6421 

65o4 

6588 

6671 

6754 

83 

521 

6838 

6921 

7004 

7088 

7171 

7254 

7338 

7421 

75o4 

7587 

522 

7671 

7754 

7837 

7920 

8oo3 

8086 

8169 

8253 

8336 

8419 

523 

85o2 

8585 

8668 

8751 

8834 

8917 

9000 

9083 

9165 

9248 

524 

933i 

94i4 

9497 

9580 

9663 

9745 

9828 

9911 

9994 

••77 

525 

720159 

0242 

o325 

0407 

0490 

0573 

o655 

0738 

0821 

0903 

526 

0986 

1068 

ii5i 

1233 

i3i6 

1398 

i48i 

i563 

1 646 

1728 

82 

527 

1811 

1893 

1975 

2o58 

2l4o 

2222 

23o5 

2387 

2469 

2552 

528 

2634 

2716 

2798 

2881 

2963 

3o45 

3127 

3209 

3291 

3374 

529 

3456 

3538 

3620 

3702 

3784 

3866 

3948 

4o3o 

4lI2 

4194 

53o 

4276 

4358 

4440 

4522 

46o4 

4685 

4767 

4849 

4931 

5oi3 

53i 

5095 

5176 

5258 

5340 

5422 

55o3 

5585 

5667 

5748 

583o 

532 

5912 

5993 

6075 

6i56 

6238 

6320 

6401 

6483 

6564 

6646 

533 

6727 

6809 

6890 

6972 

7053 

7134 

7216 

7297 

7379 

7460 

81 

534 

7541 

7623 

7704 

7785 

7866 

7948 

8029 

8110 

8191 

8273 

535 

8354 

8435 

85i6 

8597 

8678 

8759 

884i 

8922 

9003 

9084 

536 

9165 

9246 

9327 

9408 

9489 

9570 

965i 

9732 

9813 

9893 

537 

9974 

..55 

.136 

.217 

.298 

.378 

.459 

.540 

.621 

.  702 

538 

730782 

o863 

0944 

1024 

iio5 

1186 

1266 

i347 

1428 

i5o8 

539 

1589 

1669 

1750 

i83o 

1911 

1991 

2072 

2l52 

2233 

23i3 

54o 

2394 

2474 

2555 

2635 

2715 

2796 

2876 

2956 

3o37 

3ii7 

80 

54i 

3197 

3278 

3358 

3438 

35i8 

3598 

3679 

3759 

3839 

3919 

542 

3999 

4079 

4i6o 

4240 

4320 

44oo 

4480 

456o 

464o 

4720 

543 

4800 

488o 

4960 

5o4o 

5l20 

5200 

5279 

5359 

5439 

5519 

544 

5599 

5679 

5759 

5838 

5918 

5998 

6078 

6157 

6237 

63i7 

545 

6397 

6476 

6556 

6635 

6715 

6795 

6874 

6954 

7034 

7113 

546 

7193 

7272 

7352 

743i 

75ii 

7590 

7670 

7749 

7829 

7908 

79 

547 

7987 

8067 

8i46 

8225 

83o5 

8384 

8463 

8543 

8622 

8701 

548 

8781 

8860 

8939 

9018 

9097 

9177 

9256 

9335 

94i4 

9493 

549 

9572 

9651 

973i 

9810 

9889 

9968 

..47 

.  126 

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.284 

55o 

74o363 

0442 

o52I 

0600 

0678 

0757 

o836 

0915 

0994 

1073 

55i 

Il52 

I23o 

1 309 

i388 

1467 

1 546 

1624 

1703 

1782 

i860 

552 

1939 

2018 

2096 

2175 

2254 

2332 

2411 

2489 

2568 

2647 

553 

2725 

2804 

2882 

2961 

3o39 

3ii8 

3196 

3275 

3353 

343i 

78 

554 

35io 

3588 

3667 

3745 

3823 

3go2 

3980 

4o58 

4i36 

42i5 

555 

4293 

4371 

4449 

4528 

46o6 

4684 

4762 

484o 

4919 

4997 

556 

5075 

5i53 

523i 

5309 

5387 

5465 

5543 

5621 

5699 

5777 

557 

5855 

5933 

601 1 

6089 

6167 

6245 

6323 

64oi 

6479 

6556 

558 

6634 

6712 

6790 

6868 

6945 

7023 

7101 

7179 

7256 

7334 

N. 

0 

1 

2 

3 

4 

5 

6 

V 

8 

9 

D. 

'  86  ^ 

9 

17 

26 

34 

43 

52 

60 

69 

77 

85  -2 

9 

17 

26 

34 

43 

5i 

60 

68 

77 

m 

84  fS 

8 

17 

25 

34 

42 

5o 

59 

67 

76 

« 
0 

83^ 

8 

17 

25 

33 

42 

5o 

58 

66 

75 

2  - 

82  %  . 

8 

16 

25 

33 

4i 

49 

57 

66 

74 

43 

81  -^ 

8 

16 

24 

32 

4i 

49 

57 

65 

73 

Q 

80  §, 

8 

16 

24 

32 

4o 

48 

56 

64 

72 

79  2 

8 

16 

24 

32 

4o 

47 

55 

63 

71 

.  78 '^ 

8 

16 

23 

3i 

39 

47 

55 

62 

70 

Logarithms  of  N 

UMBERS. 

13 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

559 

747412 

7489 

7567 

7645 

7722 

7800 

7878 

7955 

8o33 

8110 

78 

56o 

8188 

8266 

8343 

8421 

8498 

8576 

8653 

8731 

8808 

8885 

77 

56i 

8963 

9040 

9118 

9195 

9272 

9350 

9427 

95o4 

9582 

9659 

562 

9736 

9814 

9891 

9968 

..45 

.123 

.200 

.277 

.354 

.43i 

563 

75o5o8 

o586 

o663 

0740 

0817 

0894 

0971 

io48 

II25 

1202 

564 

1279 

i356 

1433 

i5io 

i587 

i664 

1741 

1818 

1895 

1972 

565 

2048 

2125 

2202 

2279 

2356 

2433 

2509 

2586 

2663 

2740 

566 

2816 

2893 

2970 

3o47 

3i2'3 

3200 

3277 

3353 

343o 

35o6 

567 

3583 

366o 

3736 

38i3 

3889 

3966 

4o42 

4119 

4195 

4272 

568 

4348 

4425 

45oi 

4578 

4654 

4730 

4807 

4883 

4960 

5o36 

76 

569 

5l  12 

5189 

5265 

5341 

5417 

5494 

5570 

5646 

5722 

5799 

570 

5875 

5951 

6027 

6io3 

6180 

6256 

6332 

64o8 

6484 

656o 

571 

6636 

6712 

6788 

6864 

6940 

7016 

7092 

7168 

7244 

7320 

572 

7396 

7472 

7548 

7624 

7700 

7775 

785i 

7927 

8oo3 

8079 

573 

8i55 

823o 

83o6 

8382 

8458 

8533 

8609 

8685 

8761 

8836 

574 

8912 

8988 

9063 

9139 

9214 

9290 

9366 

9441 

9517 

9592 

575 

9668 

9743 

9819 

9894 

9970 

..45 

.  121 

.  196 

.272 

.347 

75 

576 

760422 

0498 

0573 

0649 

0724 

0799 

0875 

0950 

1025 

IIOI 

577 

1 176 

I25l 

i326 

l402 

1477 

i552 

1627 

1702 

1778 

i853 

578 

1928 

2003 

2078 

2i53 

2228 

23o3 

2378 

2453 

2529 

2604 

579 

2679 

2754 

2829 

2904 

2978 

3o53 

3/28 

32o3 

3278 

3353 

58o 

3428 

35o3 

3578 

3653 

3727 

38o2 

3877 

3952 

4027 

4ioi 

58i 

4176 

425i 

4326 

44oo 

4475 

455o 

4624 

4699 

4774 

4848 

582 

4923 

4998 

5072 

5i47 

5221 

5296 

5370 

5445 

5520 

5594 

583 

5669 

5743 

58i8 

5892 

5966 

6o4i 

6ii5 

6190 

6264 

6338 

74 

584 

64i3 

6487 

6562 

6636 

6710 

6785 

6859 

6933 

7007 

7082 

585 

7i56 

723o 

73o4 

7379 

7453 

7527 

7601 

7675 

7749 

7823 

586 

7898 

7972 

8o46 

8120 

8194 

8268 

8342 

84i6 

8490 

8564 

587 

8638 

8712 

8786 

8860 

8934 

9008 

9082 

9i56 

923o 

93o3 

588 

9377 

945 1 

9525 

9599 

9673 

9746 

9820 

9894 

9968 

..42 

589 

770115 

0189 

0263 

o336 

o4io 

o484 

0557 

o63i 

0705 

0778 

590 

o852 

0926 

0999 

1073 

ii46 

1220 

1293 

i367 

i44o 

i5i4 

591 

i587 

1661 

1734 

1808 

1881 

1955 

2028 

2102 

2175 

2248 

73 

592 

2322 

2395 

2468 

2542 

2615 

2688 

2762 

2835 

2908 

2981 

593 

3o55 

3i28 

320I 

3274 

3348 

3421 

3494 

3567 

364o 

3713 

594 

3786 

386o 

3933 

4oo6 

4079 

4i52 

4225 

4298 

4371 

4444 

595 

45i7 

4590 

4663 

4736 

4809 

4882 

4955 

5028 

5 1 00 

5173 

596 

5246 

5319 

5392 

5465 

5538 

56io 

5683 

5756 

5829 

5902 

597 

5974 

6047 

6120 

6193 

6265 

6338 

64ii 

6483 

6556 

6629 

598 

6701 

6774 

6846 

6919 

6992 

7064 

7137 

7209 

7282 

7354 

599 

7427 

7499 

7572 

7644 

7717 

7789 

7862 

7934 

8006 

8079 

72 

600 

8i5i 

8224 

8296 

8368 

844i 

85i3 

8585 

8658 

8730 

8802 

601 

8874 

8947 

9019 

9091 

9163 

9236 

9308 

9380 

9452 

9524 

602 

9596 

9669 

9741 

9813 

9885 

9957 

..29 

.  101 

.173 

.245 

6o3 

780317 

0389 

o46i 

o533 

o6o5 

0677 

0749 

0821 

0893 

0965 

6o4 

1037 

1 109 

1181 

1253 

l324 

1396 

i468 

i54o 

1612 

1 684 

6o5 

1755 

1827 

1899 

1971 

2042 

2Il4 

2186 

2258 

2329 

240 1 

606 

2473 

2544 

2616 

2688 

2759 

283i 

2902 

2974 

3o46 

3117 

607 

3189 

3260 

3332 

34o3 

3475 

3546 

36i8 

3689 

3761 

3832 

71 

608 

3904 

3975 

4o46 

4ii8 

4189 

4261 

4332 

44o3 

4475 

4546 

609 

4617 

4689 

4760 

483i 

4902 

4974 

5o45 

5ii6 

5187 

5259 

610 

533o 

5401 

5472 

5543 

56i5 

5686 

5757 

5828 

5899 

5970 

611 

6o4i 

61 12 

6i83 

6254 

6325 

6396 

6467 

6538 

6609 

6680 

N. 

0 

1 

2 

3 

4 

6 

6 

7 

8 

9 

D. 

'77   CO 

r  8 

i5 

23 

3i 

39 

46 

54 

62 

69 

4J 

76  -s 

8 

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23 

3o 

38 

46 

53 

61 

68 

0 

3 

75  (2 

8 

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23 

3o 

38 

45 

53 

60 

68 

74  ^  < 

7 

i5 

22 

3o 

37 

44 

52 

59 

67 

73  a 

7 

i5 

22 

29 

37 

44 

5i 

58 

66 

Q 

72  2 

7 

i4 

22 

29 

36 

43 

5o 

58 

65 

yi  ^ 

.  7 

i4 

21 

28 

36 

43 

5o 

57 

64 

14 

Logarithms  ( 

3F  N 

UMBERS. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

612 

786751 

6822 

6893 

6964 

7035 

7106 

7177 

7248 

7319 

7390 

71 

6i3 

7460 

7531 

7602 

7673 

7744 

7815 

7885 

7956 

8027 

8098 

6i4 

8i68 

8239 

83io 

838i 

845 1 

8522 

8593 

8663 

8734 

8804 

6i5 

8875 

8946 

9016 

9087 

9157 

9228 

9299 

9369 

9440 

9510 

6i6 

9581 

965 1 

9722 

9792 

9863 

9933 

...4 

..74 

.144 

.2l5 

70 

617 

790285 

o356 

0426 

0496 

o567 

0637 

0707 

0778 

o848 

0918 

618 

0988 

loSg 

1129 

1199 

1269 

i34o 

i4io 

i48o 

i55o 

1620 

619 

1691 

1761 

i83i 

1901 

1971 

204l 

2111 

2181 

2252 

2322 

620 

2392 

l!:^^i 

2532 

2602 

2672 

2742 

2812 

2882 

2952 

3022 

621 

3092 

3162 

323i 

33oi 

3371 

3441 

35ii 

358i 

365i 

3721 

622 

3790 

386o 

3930 

4ooo 

4070 

4i39 

4209 

4279 

4349 

44i8 

623 

4488 

4558 

4627 

4697 

4767 

4836 

4906 

4976 

5o45 

5ii5 

624 

5i85 

5254 

5324 

5393 

5463 

5532 

56o2 

5672 

5741 

58ii 

625 

588o 

5949 

6019 

6088 

6i58 

6227 

6297 

6366 

6436 

65o5 

69 

626 

6574 

6644 

6713 

6782 

6852 

6921 

6990 

7060 

7129 

7198 

627 

7268 

7337 

74o6 

7475 

7545 

7614 

7683 

7752 

7821 

7890 

628 

7960 

8029 

8098 

8167 

8236 

83o5 

8374 

8443 

85i3 

8582 

629 

865i 

8720 

8789 

8858 

8927 

8996 

9065 

9134 

9203 

9272 

63o 

9341 

9409 

9478 

9547 

9616 

9685 

9754 

9823 

9892 

9961 

63i 

800029 

0098 

0167 

0236 

o3o5 

0373 

0442 

o5ii 

o58o 

o648 

632 

0717 

0786 

0854 

0923 

0992 

1 06 1 

1129 

1198 

1266 

i335 

633 

i4o4 

1472 

i54r 

1609 

1678 

1747 

i8i5 

1 884 

1952 

2021 

634 

2089 

2i58 

2226 

2295 

2363 

2432 

25oo 

2568 

2637 

2705 

635 

2774 

2842 

2910 

2979 

3o47 

3ii6 

3i84 

3252 

3321 

3389 

68 

636 

3457 

3525 

3594 

3662 

3730 

3798 

3867 

3935 

4oo3 

4071 

637 

4i39 

4208 

4276 

4344 

44i2 

4480 

4548 

4616 

4685 

4753 

638 

4821 

4889 

4957 

5o25 

5093 

5i6i 

5229 

5297 

5365 

5433 

639 

55oi 

5569 

5637 

5705 

5773 

584i 

5908 

5976 

6044 

6112 

64o 

6180 

6248 

63i6 

6384 

645 1 

65i9 

6587 

6655 

6723 

6790 

64i 

6858 

6926 

6994 

7061 

7129 

7197 

7264 

7332 

7400 

7467 

642 

7535 

7603 

7670 

7738 

7806 

7873 

7941 

8008 

8076 

8143 

643 

8211 

8279 

8346 

84i4 

848 1 

8549 

8616 

8684 

8751 

8818 

67 

644 

8886 

8953 

9021 

9088 

9i56 

9223 

9290 

9358 

9425 

9492 

645 

9560 

9627 

9694 

9762 

9829 

9896 

9964 

..3i 

..98 

.i65 

646 

810233 

o3oo 

0367 

0434 

o5oi 

0569 

o636 

0703 

0770 

0837 

647 

0904 

0971 

1039 

1106 

1173 

1240 

1 307 

1374 

1 44 1 

i5o8 

648 

1575 

1642 

1709 

1776 

1843 

1910 

1977 

2o44 

21 II 

2178 

649 

2245 

23l2 

2379 

2445 

25l2 

2579 

2646 

2713 

2780 

2847 

65o 

2913 

2980 

3o47 

3ii4 

3i8i 

3247 

33i4 

338i 

3448 

35i4 

65i 

358i 

3648 

3714 

3781 

3848 

3914 

3981 

4o48 

4ii4 

4i8i 

652 

4248 

43i4 

438i 

4447 

45i4 

458i 

4647 

4714 

4780 

4847 

653 

4913 

4980 

5o46 

5ii3 

5i79 

5246 

53i2 

5378 

5445 

55ii 

66 

654 

5578 

5644 

5711 

5777 

5843 

Sgio 

5976 

6042 

6109 

6175 

655 

6241 

63o8 

6374 

644o 

65o6 

6573 

6639 

6705 

6771 

6838 

656 

6904 

6970 

7o36 

7102 

7169 

7235 

7301 

7367 

7433 

7499 

657 

7565 

763i 

7698 

7764 

783o 

7896 

7962 

8028 

8094 

8160 

658 

8226 

8292 

8358 

8424 

8490 

8556 

8622 

8688 

8754 

8820 

659 

8885 

8951 

9017 

9083 

9149 

9215 

9281 

9346 

9412 

9478 

660 

9544 

9610 

9676 

9741 

9807 

9873 

9939 

...4 

..70 

.i36 

661 

820201 

0267 

o333 

0399 

o464 

o53o 

0695 

0661 

0727 

0792 

662 

o858 

0924 

0989 

io55 

1120 

1186 

I25l 

i3i7 

i382 

i448 

663 

t5i4 

1579 

1645 

1710 

1775 

i84i 

1906 

1972 

2037 

2io3 

65 

664 

2168 

2233 

2299 

2364 

243o 

2495 

256o 

2626 

2691 

2756 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

'71  A 

7 

i4 

21 

28 

36 

43 

5o 

57 

64 

00 

0 

70  -£ 

7 

i4 

21 

28 

35 

42 

49 

56 

63 

0 

3 

69  ^ 

7 

i4 

21 

28 

35 

4i 

48 

55 

62 

£  J 

68  ^ 

7 

i4 

20 

27 

34 

4i 

48 

54 

61 

^ 

67  a 

7 

i3 

20 

27 

34 

4o 

47 

54 

60 

Q 

66  2 

7 

i3 

20 

26 

33 

4o 

46 

53 

59 

65  ^ 

,  7 

i3 

20 

26 

33 

39 

46 

52 

59 

Logarithms  of  N 

UMBERS. 

15 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

I). 

665 

822822 

2887 

2952 

3oi8 

3o83 

3i48 

32i3 

3279 

3344 

3409 

65 

666 

3474 

3539 

36o5 

3670 

3735 

38oo 

3865 

3930 

3996 

4o6i 

667 

4126 

4191 

4256 

4321 

4386 

445 1 

45i6 

458i 

4646 

4711 

668 

4776 

484i 

4906 

4971 

5o36 

5ioi 

5i66 

523i 

5296 

536i 

669 

5426 

5491 

5556 

5621 

5686 

5751 

58i5 

588o 

5945 

6010 

7 

670 

6075 

6i4o 

6204 

6269 

6334 

6399 

6464 

6528 

6593 

6658 

671 

6723 

6787 

6852 

6917 

6981 

7046 

711 1 

7175 

7240 

73o5 

672 

7369 

7434 

7499 

7563 

7628 

7692 

7757 

7821 

7886 

7951 

673 

8oi5 

8080 

8i44 

8209 

8273 

8338 

8402 

8467 

853i 

8595 

64 

674 

8660 

8724 

8789 

8853 

8918 

8982 

9046 

9111 

9175 

9239 

675 

93o4 

9368 

9432 

9497 

9561 

9625 

9690 

9754 

9818 

9882 

676 

9947 

..II 

..75 

.  139 

.204 

.268 

.332 

.396 

.460 

.525 

677 

83o589 

o653 

0717 

0781 

0845 

0909 

0973 

1037 

1 102 

1166 

67S 

I23o 

1294 

i358 

r422 

i486 

i55o 

i6i4 

1678 

1742 

1806 

679 

1870 

1934 

1998 

2062 

2126 

2189 

2253 

23i7 

238i 

2445 

680 

2509 

2573 

2637 

2700 

2764 

2828 

2892 

2956 

3020 

3o83 

681 

3i47 

32II 

3275 

3338 

3402 

3466 

353o 

3593 

3657 

3721 

682 

3784 

3848 

3912 

3975 

4o39 

4io3 

4i66 

423o 

4294 

4357 

683 

4421 

4484 

4548 

46 II 

4675 

4739 

4802 

4866 

4929 

4993 

684 

5o56 

5l20 

5i83 

5247 

53io 

5373 

5437 

55oo 

5564 

5627 

63 

685 

5691 

5754 

5817 

588i 

5944 

6007 

6071 

6i34 

6197 

6261 

686 

6324 

6387 

645i 

65i4 

6577 

664i 

6704 

6767 

683o 

6894 

687 

6957 

7020 

7083 

7i46 

7210 

7273 

7336 

7399 

7462 

7525 

688 

7588 

7652 

77i5 

7778 

7841 

7904 

7967 

8o3o 

8093 

8i56 

689 

8219 

8282 

8345 

84o8 

8471 

8534 

8597 

8660 

8723 

8786 

690 

8849 

8912 

8975 

9o38 

9101 

9164 

9227 

9289 

9352 

94i5 

691 

9478 

9541 

9604 

9667 

9729 

9792 

9855 

9918 

9981 

..43 

692 

840106 

0169 

0232 

0294 

0357 

0420 

0482 

o545 

0608 

0671 

693 

0733 

0796 

0859 

0921 

0984 

io46 

1 109 

1 172 

1234 

1297 

694 

1359 

1422 

i485 

i547 

1610 

1672 

1735 

1797 

i860 

1922 

695 

1985 

2047 

21 10 

2172 

2235 

2297 

236o 

2422 

2484 

2547 

62 

696 

2609 

2672 

2734 

2796 

2859 

2921 

2983 

3o46 

3io8 

3170 

697 

3233 

3295 

3357 

3420 

34S2 

3544 

36o6 

3669 

3731 

3793 

698 

3855 

3918 

3980 

4o42 

4io4 

4166 

4229 

4291 

4353 

44i5 

699 

4477 

4539 

4601 

4664 

4726 

4788 

485o 

4912 

4974 

5o36 

700 

6098 

5i6o 

5222 

5284 

5346 

5408 

5470 

5532 

5594 

5656 

701 

5718 

5780 

5842 

5904 

5966 

6028 

6090 

6i5i 

6213 

6275 

702 

6337 

6399 

646i 

6523 

6585 

6646 

6708 

6770 

6832 

6894 

7o3 

6955 

7017 

7079 

7i4i 

7202 

7264 

7326 

7388 

7449 

75ii 

704 

7573 

7634 

7696 

7758 

7819 

7881 

7943 

8oo4 

8066 

8128 

7o5 

8189 

825i 

83i2 

8374 

8435 

8497 

8559 

8620 

8682 

8743 

706 

88o5 

8866 

8928 

8989 

9o5i 

91 12 

9174 

9235 

9297 

9358 

61 

707 

9419 

9481 

9542 

9604 

9665 

9726 

9788 

9849 

9911 

9972 

708 

85oo33 

0095 

oi56 

0217 

0279 

o34o 

o4oi 

0462 

o524 

o585 

709 

o646 

0707 

0769 

o83o 

0891 

0952 

ioi4 

1075 

ii36 

1197 

710 

1258 

r32o 

i38i 

i442 

i5o3 

i564 

1625 

1686 

1747 

1809 

711 

1870 

1931 

1992 

2o53 

21 14 

2175 

2236 

2297 

2358 

2419 

712 

2480 

254i 

2602 

2663 

2724 

2785 

2846 

2907 

2968 

3029 

7i3 

3090 

3i5o 

32II 

3272 

3333 

3394 

3455 

35i6 

3577 

3637 

714 

3698 

3759 

3820 

388 1 

3941 

4002 

4o63 

4124 

4i85 

4245 

7i5 

43o6 

4367 

4428 

4488 

4549 

4610 

4670 

4731 

4792 

4852 

716 

4913 

4974 

5o34 

5095 

5i56 

52i6 

5277 

5337 

5398 

5459 

717 

5519 

558o 

564o 

5701 

5761 

5822 

5882 

5g43 

6oo3 

6064 

718 

6124 

6i85 

6245 

63o6 

6366 

6427 

6487 

6548 

6608 

6668 

60 

719 

6729 

6789 

685o 

6910 

6970 

7o3i 

7091 

7i52 

7212 

7272 

N. 

0     1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

r  64  » 

f  ^ 

i3 

19 

26 

32 

38 

45 

5i 

58 

t^ 

63  ^ 

6 

i3 

19 

25 

32 

38 

44 

5o 

57 

•  62  (^ 

6 

12 

19 

25 

3i 

37 

43 

5o 

56 

5 

61  p 

6 

12 

18  i  24 

3i 

37 

43 

49 

55 

.. 

60  0-t 

6 

12 

18    24 

3o 

36 

42 

48 

54 

16 

Logarithms  of  Numbers. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

""b. 

720 

857332 

7393 

7453 

75i3 

7574 

7634 

7694 

7755 

7815 

7875 

60 

721 

7935 

7995 

8o56 

8116 

8176 

8236 

8297 

8357 

84i7 

8477 

722 

8537 

8597 

8657 

8718 

8778 

8838 

8898 

8958 

9018 

9078 

723 

9i38 

9198 

9258 

9318 

9379 

9439 

9499 

9559 

9619 

9679 

724 

9739 

9799 

9859 

9918 

9978 

..38 

..98 

.i58 

.218 

.278 

725 

86o338 

0398 

o458 

o5i8 

0578 

0637 

0697 

0757 

0817 

0877 

726 

0937 

0996 

io56 

1116 

1176 

1236 

1295 

i355 

i4i5 

1475 

727 

i534 

1594 

i654 

1714 

1773 

i833 

1893 

1952 

2012 

2072 

728 

2l3l 

2191 

225l 

23lO 

2370 

243o 

2498 

2549 

2608 

2668 

729 

2728 

2787 

2847 

2906 

2966 

3o25 

3o85 

3i44 

32o4 

3263 

730 

3323 

3382 

3442 

35oi 

356i 

3620 

368o 

3739 

3799 

3858 

59 

731 

3917 

3977 

4o36 

4096 

4i55 

4214 

4274 

4333 

4392 

4452 

732 

45ii 

4570 

463o 

4689 

4748 

4808 

4867 

4926 

4985 

5o45 

733 

5io4 

5i63 

5222 

5282 

5341 

5400 

5459 

55x9 

5578 

5637 

734 

5696 

5755 

58i4 

5874 

5933 

5992 

6o5i 

6110 

6169 

6228 

735 

6287 

6346 

64o5 

6465 

6524 

6583 

6642 

6701 

6760 

6819 

736 

6878 

6937 

6996 

7055 

7114 

7173 

7232 

7291 

7350 

7409 

737 

7467 

7526 

7585 

7644 

7703 

7762 

7821 

7880 

7939 

7998 

738 

8o56 

8ii5 

8174 

8233 

8292 

835o 

8409 

8468 

8527 

8586 

739 

8644 

8703 

8762 

8821 

8879 

8938 

8997 

9o56 

9114 

9173 

740 

9232 

9290 

9349 

9408 

9466 

9525 

9584 

9642 

9701 

9760 

741 

9818 

9877 

9935 

9994 

..53 

.III 

.170 

.228 

.287 

.345 

742 

870404 

0462 

o52i 

0579 

o638 

0696 

0755 

o8i3 

0872 

0930 

58 

743 

0989 

1047 

1 1 06 

ii64 

1223 

1281 

1339 

1398 

i456 

i5i5 

744 

1573 

i63i 

1690 

1748 

1806 

i865 

1923 

1981 

2040 

2098 

745 

2i56 

22l5 

2273 

233i 

2389 

2448 

25o6 

2564 

2622 

2681 

746 

2739 

2797 

2855 

2913 

2972 

3o3o 

3o88 

3i46 

3204 

3262 

747 

3321 

3379 

3437 

3495 

3553 

36ii 

3669 

3727 

3785 

3844 

748 

3go2 

3960 

4oi8 

4076 

4i34 

4192 

425o 

43o8 

4366 

4424 

749 

4482 

4540 

4598 

4656 

4714 

4772 

483o 

4888 

4945 

5oo3 

750 

5o6i 

5i  19 

5177 

5235 

5293 

535i 

5409 

5466 

5524 

5582 

751 

564o 

5698 

5756 

58i3 

5871 

5929 

5987 

6045 

6102 

6160 

752 

6218 

6276 

6333 

6391 

6449 

65o7 

6564 

6622 

6680 

6737 

753 

6795 

6853 

6910 

6968 

7026 

7083 

7i4i 

7199 

7256 

73i4 

754 

7371 

7429 

7487 

7544 

7602 

7659 

7717 

7774 

7832 

7889 

755 

7947 

8004 

8062 

8119 

8177 

8234 

8292 

8349 

8407 

8464 

57 

756 

8522 

8579 

8637 

8694 

8752 

8809 

8866 

8924 

8981 

9039 

757 

9096 

9153 

9211 

9268 

9325 

9383 

9440 

9497 

9555 

9612 

758 

9669 

9726 

9784 

9841 

9898 

9956 

..i3 

..70 

.127 

.185 

759 

880242 

0299 

o356 

o4i3 

0471 

o528 

o585 

0642 

0699 

0756 

760 

08 1 4 

0871 

0928 

0985 

1042 

1099 

ii56 

I2l3 

1271 

i328 

761 

i385 

1442 

1499 

i556 

i6i3 

1670 

1727 

1784 

i84i 

1898 

762 

1955 

2012 

2069 

2126 

2i83 

2240 

2297 

2354 

241 1 

2468 

763 

2525 

258i 

2638 

2695 

2752 

2809 

2866 

2923 

2980 

3o37 

764 

3093 

3i5o 

3207 

3264 

3321 

3377 

3434 

3491 

3548 

36o5 

765 

366i 

3718 

3775 

3832 

3888 

3945 

4o02 

4o59 

4ii5 

4172 

766 

4229 

4285 

4342 

4399 

4455 

45i2 

4569 

4625 

4682 

4739 

767 

4795 

4852 

4909 

4965 

5022 

5078 

5i35 

5192 

5248 

53o5 

768 

536i 

5418 

5474 

553i 

5587 

5644 

5700 

5757 

58i3 

5870 

769 

5926 

5983 

6039 

6096 

6i52 

6209 

6265 

6321 

6378 

6434 

56 

770 

6491 

6547 

6604 

6660 

6716 

6773 

6829 

6885 

6942 

6998 

771 

7054 

71 II 

7167 

7223 

7280 

7336 

7392 

7449 

75o5 

7561 

772 

7617 

7674 

7730 

7786 

7842 

7898 

7955 

Son 

8067 

8123 

773 

8179 

8236 

8292 

8348 

84o4 

846o 

85i6 

8573 

8629 

8685 

774 

8741 

8797 

8853 

8909 

8965 

9021 

9077 

9134 

9190 

9246 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

'  60   o5 

r  6 

12 

18 

24 

3o 

36 

42 

48 

54 

u 

59  1 

6 

12 

18 

24 

3o 

35 

4i 

47 

53 

Stt  J 

58  P^  J 

6 

12 

17 

23 

29 

35 

4i 

46 

52 

Q 

57  6 

6 

1 1 

17 

23 

29 

34 

4o 

46 

5i 

^  56  fil 

6 

1 1 

17 

22 

28 

34 

39 

45 

5o 

Logarithms   of   Numbers. 


17 


N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

775 

889302 

9358 

94i4 

9470 

9526 

9582 

9688 

9694 

975o 

9806 

56 

776 

9862 

9918 

9974 

..3o 

.,86 

.i4i 

.197 

.253 

.809 

.365 

777 

890421 

0477 

o533 

0589 

0645 

0700 

0756 

0812 

0868 

0924 

778 

0980 

io35 

1 09 1 

1147 

I203 

1259 

i3i4 

1870 

1426 

1482 

779 

1537 

1593 

1649 

1705 

1760 

1816 

1872 

1928 

1988 

2089 

780 

2095 

2i5o 

2206 

2262 

23i7 

2373 

2429 

2484 

2540 

2595 

781 

265i 

2707 

2762 

2818 

2873 

2929 

2985 

3o4o 

8096 

8i5i 

782 

3207 

3262 

33i8 

3373 

3429 

3484 

854o 

3595 

865i 

8706 

783 

3762 

3817 

3873 

3928 

3984 

4o39 

4094 

4i5o 

42o5 

4261 

55 

784 

43i6 

4371 

4427 

4482 

4538 

4593 

4648 

4704 

4759 

48i4 

785 

4870 

4925 

4980 

5o36 

5091 

5i46 

5201 

5257 

53i2 

5867 

786 

5423 

5478 

5533 

5588 

5644 

5699 

5754 

5809 

5864 

5920 

787 

5975 

6o3o 

6o85 

6i4o 

6195 

625i 

63o6 

636i 

64i6 

6471 

788 

6526 

658i 

6636 

6692 

6747 

6802 

6857 

6912 

6967 

7022 

789 

7077 

7182 

7187 

7242 

7297 

7352 

7407 

7462 

7517 

7572 

790 

7627 

7682 

7737 

7792 

7847 

7902 

7957 

8012 

8067 

8122 

791 

8176 

823i 

8286 

834i 

8396 

845i 

85o6 

856i 

86i5 

8670 

792 

8725 

8780 

8835 

8890 

8944 

8999 

9054 

9109 

9164 

9218 

793 

9273 

9328 

9383 

9437 

9492 

9547 

9602 

9656 

9711 

9766 

794 

9821 

9875 

9980 

9985 

..39 

..94 

.149 

.203 

.258 

.812 

795 

900367 

0422 

0476 

o53i 

o586 

o64o 

0695 

0749 

o8o4 

0859 

796 

0913 

0968 

1022 

1077 

I  i3i 

1186 

1240 

1295 

1349 

i4o4 

797 

i458 

i5i3 

i567 

1622 

1676 

1731 

1785 

i84o 

1894 

1948 

54 

798 

2oo3 

2o57 

21 12 

2166 

2221 

2275 

2829 

2384 

2438 

2492 

799 

2547 

2601 

2655 

2710 

2764 

2818 

2873 

2927 

2981 

8o36 

800 

8090 

3i44 

3199 

3253 

3307 

336i 

84i6 

3470 

8524 

3578 

801 

3633 

3687 

374t 

3795 

3849 

8904 

8958 

4012 

4o66 

4l20 

802 

4174 

4229 

4283 

4337 

4391 

4445 

4499 

4553 

4607 

466i 

8o3 

4716 

4770 

4824 

4878 

4932 

4986 

5o4o 

5094 

5i48 

5202 

8o4 

5256 

53io 

5364 

5418 

5472 

5526 

558o 

5634 

5688 

5742 

8o5 

5796 

585o 

5904 

5958 

6012 

6066 

61 19 

6178 

6227 

6281 

806 

6335 

6389 

6443 

6497 

655i 

66o4 

6658 

6712 

6766 

6820 

807 

6874 

6927 

6981 

7035 

7089 

7143 

7196 

725o 

7804 

7358 

808 

741 1 

7465 

7519 

7573 

7626 

7680 

7734 

7787 

7841 

7895 

809 

7949 

8002 

8o56 

8110 

8i63 

8217 

8270 

8824 

8878 

843 1 

810 

8485 

8539 

8592 

8646 

8699 

8753 

8807 

8860 

8914 

8967 

811 

9021 

9074 

9128 

9181 

9235 

9289 

9342 

9896 

9449 

95o3 

812 

9556 

9610 

9663 

9716 

9770 

9823 

9877 

9980 

9984 

..37 

53 

8i3 

910091 

oi44 

0197 

025l 

o3o4 

o358 

o4i  I 

o464 

o5i8 

0571 

8i4 

0624 

0678 

0731 

0784 

o838 

0891 

0944 

0998 

io5i 

iio4 

8i5 

ii58 

1211 

1264 

i3i7 

1371 

1424 

1477 

i58o 

1 584 

1687 

816 

1690 

1743 

1797 

i85o 

1903 

1956 

2009 

2o63 

21 16 

2169 

817 

2222 

2275 

2328 

238i 

2435 

2488 

254i 

2594 

2647 

2700 

818 

2753 

2806 

2859 

2913 

2966 

8019 

8072 

8125 

8178 

8281 

819 

3284 

3337 

3390 

3443 

3496 

8549 

8602 

8655 

8708 

8761 

820 

38i4 

3867 

3920 

3973 

4026 

4079 

4i32 

4i84 

4287 

4290 

821 

4343 

4396 

4449 

45o2 

4555 

4608 

466o 

4713 

4766 

4819 

822 

4872 

4925 

4977 

5o3o 

5o83 

5i86 

5189 

524i 

5294 

5347 

823 

5400 

5453 

55o5 

5558 

56ii 

5664 

5716 

5769 

5822 

5875 

824 

5927 

5980 

6o33 

6o85 

6i38 

6191 

6243 

6296 

6849 

64oi 

825 

6454 

65o7 

6559 

6612 

6664 

6717 

6770 

6822 

6875 

6927 

826 

6980 

7033 

7085 

7i38 

7190 

7243 

7295 

7348 

7400 

7453 

827 

7506 

7558 

761 1 

7663 

7716 

7768 

7820 

7873 

7925 

7978 

52 

828 

8o3o 

8o83 

8i35 

8188 

8240 

8298 

8845 

8397 

845o 

85o2 

829 

8555 

8607 

8659 

8712 

8764 

8816 

8869 

8921 

8973 

9026 

83o 

9078 

9t3o 

9183 

9235 

9287 

9340 

9892 

9444 

9496 

9549 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

'55  ^ 

6 

1 1 

17 

22 

28 

38 

89 

44 

5o 

t2  J 

54  1 

5 

1 1 

16 

22 

27 

32 

38 

43 

49 

ia 

53  p2  ■ 

5 

1 1 

16 

21 

27 

82 

3? 

42 

48 

5 

-52  p; 

5 

10 

16 

21 

26 

3i 

36 

42 

47 

B 


18 

Logarithms  of  N 

UMBERS. 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

83i 

919601 

9653 

9706 

9758 

9810 

9862 

9914 

9967 

..19 

..71 

52 

832 

920123 

0176 

0228 

0280 

o332 

o384 

o436 

0489 

o54i 

0593 

833 

0645 

0697 

0749 

o8oi 

o853 

0906 

0958 

lOIO 

1062 

II  i4 

834 

1166 

1218 

1270 

l322 

1374 

1426 

1478 

i53o 

i582 

i634 

835 

1686 

1738 

1790 

1842 

1894 

1946 

1998 

2o5o 

2102 

2 1 54 

836 

2206 

2258 

23lO 

2362 

24i4 

2466 

25i8 

2570 

2622 

2674 

837 

2725 

2777 

2829 

2881 

2933 

2985 

3o37 

3089 

3i4o 

3192 

838 

3244 

3296 

3348 

3399 

345i 

35o3 

3555 

3607 

3658 

3710 

839 

3762 

38i4 

3865 

3917 

3969 

402I 

4072 

4124 

4176 

4228 

84o 

4279 

433i 

4383 

4434 

4486 

4538 

4589 

464i 

4693 

4744 

84i 

4796 

4848 

4899 

4951 

5oo3 

5o54 

5io6 

5i57 

5209 

5261 

842 

53i2 

5364 

54i5 

5467 

55i8 

5570 

5621 

5673 

5725 

5776 

843 

5828 

5879 

5931 

5982 

6d34 

6o85 

6137 

6188 

6240 

6291 

5i 

844 

6342 

6394 

6445 

6497 

6548 

6600 

665i 

6702 

6754 

68o5 

845 

6857 

6908 

6959 

701 1 

7062 

7114 

7165 

7216 

7268 

7319 

846 

7370 

7422 

7473 

7524 

7576 

7627 

7678 

7730 

7781 

7832 

847 

7883 

7935 

7986 

8037 

8088 

8i4o 

8191 

8242 

8293 

8345 

848 

8396 

8447 

8498 

8549 

8601 

8652 

8703 

8754 

88o5 

8857 

849 

8908 

8959 

9010 

9061 

91 12 

9163 

9215 

9266 

9317 

9368 

85o 

9419 

9470 

9521 

9572 

9623 

9674 

9725 

9776 

9827 

9879 

85i 

9930 

9981 

..32 

..83 

.134 

.i85 

.236 

.287 

.338 

.389 

852 

93o44o 

0491 

o542 

0592 

0643 

0694 

0745 

0796 

0847 

0898 

853 

0949 

1000 

io5i 

1 102 

ii53 

I204 

1254 

i3o5 

i356 

i4o7 

854 

i458 

i5o9 

i56o 

1610 

1661 

I7I2 

1763 

i8i4 

i865 

1915 

855 

1966 

2017 

2068 

2118 

2169 

2220 

2271 

2322 

2372 

2423 

856 

2474 

2524 

2575 

2626 

2677 

2727 

2778 

2829 

2879 

2930 

857 

2981 

3o3i 

3082 

3i33 

3i83 

3234 

3285 

3335 

3386 

3437 

858 

3487 

3538 

3589 

3639 

3690 

3740 

3791 

384i 

3892 

3943 

859 

3993 

4o44 

4094 

4i45 

4195 

4246 

4296 

4347 

4397 

4448 

86o 

4498 

4549 

4599 

465o 

4700 

4751 

4801 

4852 

4902 

4953 

5o 

86i 

5oo3 

5o54 

5io4 

5i54 

52o5 

5255 

53o6 

5356 

5406 

5457 

862 

5507 

5558 

56o8 

5658 

5709 

5759 

5809 

586o 

5910 

5960 

863 

6011 

6061 

611 1 

6162 

6212 

6262 

63i3 

6363 

64i3 

6463 

864 

65i4 

6564 

66i4 

6665 

6715 

6765 

68i5 

6865 

6916 

6966 

865 

7016 

7066 

7117 

7167 

7217 

7267 

7317 

7367 

74i8 

7468 

866 

75i8 

7568 

7618 

7668 

7718 

7769 

7819 

7869 

7919 

7969 

867 

8019 

8069 

8119 

8169 

8219 

8269 

8320 

8370 

8420 

8470 

868 

8520 

8570 

8620 

8670 

8720 

8770 

8820 

8870 

8920 

8970 

869 

9020 

9070 

9120 

9170 

9220 

9270 

9320 

9369 

9419 

9469 

870 

9519 

9569 

9619 

9669 

9719 

9769 

9819 

9869 

9918 

9968 

871 

940018 

0068 

0118 

0168 

0218 

0267 

o3i7 

0367 

0417 

0467 

872 

o5i6 

o566 

0616 

0666 

0716 

0765 

08 1 5 

o865 

0915 

0964 

873 

ioi4 

1064 

iii4 

ii63 

I2l3 

1263 

i3i3 

i362 

l4l2 

1462 

874 

i5ii 

i56i 

1611 

1660 

1710 

1760 

1809 

1859 

1909 

1958 

875 

2008 

2o58 

2107 

2157 

2207 

2256 

23o6 

2355 

24o5 

2455 

876 

25o4 

2554 

2603 

2653 

2702 

2752 

2801 

285i 

2901 

2950 

877 

3ooo 

3o49 

3099 

3i48 

3198 

3247 

3297 

3346 

3396 

3445 

49 

878 

3495 

3544 

3593 

3643 

3692 

3742 

3791 

384i 

3890 

3939 

879 

3989 

4o38 

4o88  4i37 

4186 

4236 

4285 

4335 

4384 

4433 

880 

4483 

4532 

458i 

463i 

4680 

4729 

4779 

4828 

4877 

4927 

881 

4976 

5o25 

5074 

5i24 

5173 

5222 

5272 

5321 

5370 

5419 

882 

5469 

55i8 

5567 

56i6 

5665 

5715 

5764 

58i3 

5862 

5912 

883 

5961 

6010 

6059 

6108 

6157 

6207 

6256 

63o5 

6354 

64o3 

884 

6452 

65oi 

655i 

6600 

6649 

6698 

6747 

6796 

6845 

6894 

885 

6943 

6992 

7o4i 

7090 

7i4o 

7189 

7238 

7287 

7336 

7385 

886 

7434 

7483 

7532 

758i 

763o 

7679 

7728 

7777 

7826 

7875 

N. 

0 

1 

2 

3 

4 

5 

6 

1 

8 

9 

D. 

.. 

'  52   03 

'     5 

10 

16 

21 

26 

3i 

36 

42 

47 

Differ 

5i  1 

5 

10 

i5 

20 

26 

3i 

36 

4i 

46 

5o  Ph 

5 

10 

i5 

20 

25 

3o 

35 

4o 

45 

.49  o; 

5 

10 

i5 

20 

25 

29 

34 

39 

44 

Logarithms   of   ITumbees. 


19 


(N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

887 

947924 

7973 

8022 

8070 

8119 

8168 

8217  1  8266 

83i5 

8364 

49 

888 

84i3 

8462 

85ii 

856o 

8609 

8657 

8706 

8755 

8804 

8853 

/ 

889 

8902 

8961 

8999 

9048 

9097 

9146 

9195 

9244 

9292 

9341 

890 

9390 

9439 

9488 

9536 

9585 

9634 

9683 

9731 

9780 

9829 

891 

9878 

9926 

9975 

..24 

..73 

.  121 

.  170 

.219 

.267 

.3i6 

892 

95o365 

o4i4 

0462  1  o5i I 

o56o 

0608 

0657 

0706 

0754 

o8o3 

893 

o85i 

0900 

0949 

0997 

io46 

1095 

ii43 

1192 

1240 

1289 

894 

i338 

i386 

1435 

i483 

i532 

i58o 

1629 

1677 

1726 

1775 

895 

1823 

1872 

1920 

1969 

2017 

2066 

21l4 

2i63 

2211 

2260 

48 

896 

23o8 

2356 

24o5 

2453 

2502 

255o 

2599 

2647 

2696 

2744 

897 

2792 

284l 

2889 

2938 

2986 

3o34 

3o83 

3i3i 

3i8o 

3228 

898 

3276 

3325 

3373 

3421 

3470 

35i8 

3566 

36i5 

3663 

3711 

899 

3760 

38o8 

3856 

3905 

3953 

4ooi 

4o49 

4098 

4i46 

4194 

900 

4243 

4291 

4339 

4387 

4435 

4484 

4532 

458o 

4628 

4677 

' 

901 

4725 

4773 

4821 

4869 

4918 

4966 

5oi4 

6062 

5i  10 

5i58 

902 

6207 

5255 

53o3 

535i 

5399 

5447 

5495 

5543 

5592 

564o 

903 

5688 

5736 

5784 

5832 

588o 

5928 

5976 

6024 

6072 

6120 

1 

904 

6168 

6216 

6265 

63i3 

636i 

6409 

6457 

65o5 

6553 

6601 

j 

905 

6649 

6697 

6745 

6793 

684o 

6888 

6936 

6984 

7032 

7080 

906 

712S 

7176 

7224 

7272 

7320 

7368 

7416 

7464 

75i2 

7559 

907 

7607 

7655 

7703 

775i 

7799 

7847 

7894 

7942 

7990 

8o38 

908 

8086 

8t34 

8181 

8229 

8277 

8325 

8373 

842  1 

8468 

85i6 

909 

8564 

86j2 

8659 

8707 

8755 

88o3 

885o 

8898 

8946 

8994 

910 

9041 

9089 

9137 

9185 

9232 

9280 

9328 

9375 

9423 

9471 

911 

9518 

9566 

9614 

9661 

9709 

9757 

9804 

9852 

9900 

9947 

912 

9995 

..42 

.  .90 

.i38 

.i85 

.233 

.280 

.328 

.376 

.423 

913 

960471 

o5i8 

o566 

o6i3 

0661 

0709 

0756 

0804 

o85i 

0899 

914 

0946 

0994 

io4r 

1089 

11 36 

1184 

I23l 

1279 

i326 

1374 

47 

9i5 

1421 

1469 

i5i6 

i563 

1611 

i658 

1706 

1753 

1801 

i848 

916 

1895 

1943 

1990 

2o38 

2o85 

2l32 

2i8o 

2227 

2275 

2322 

917 

2369 

2417 

2464 

25l  [ 

2559 

2606 

2653 

2701 

2748 

2795 

918 

2843 

2890 

2937 

2985 

3o32 

3079 

3i26 

3174 

3221 

3268 

919 

33i6 

3363 

3410 

3457 

35o4 

3552 

3599 

3646 

3693 

3741 

920 

3788 

3835 

3882 

3929 

3977 

4024 

4071 

4ii8 

4i65 

4212 

921 

4260 

4307 

4354 

44oi 

4448 

4495 

4542 

4590 

4637 

4684 

922 

4731 

4778 

4825 

4872 

4919 

4966 

5oi3 

5o6i 

5 1 08 

5i55 

923 

5202 

5249 

5296 

5343 

5390 

5437 

5484 

553i 

5578 

5625 

924 

5672 

5719 

5766 

58i3 

586o 

5907 

5954 

6001 

6o48 

6095 

925 

6142 

6189 

6236 

6283 

6329 

6376 

6423 

6470 

65i7 

6564 

926 

661I 

6658 

6705 

6752 

6799 

6845 

6892 

6939 

6986 

7033 

927 

7080 

7127 

7173 

7220 

7267 

73i4 

7361 

7408 

7454 

75oi 

928 

7548 

7595 

7642 

7688 

7735 

7782 

7829 

7875 

7922 

7969 

929 

8016 

8062 

8109 

8i56 

8203 

8249 

8296 

8343 

8390 

8436 

g3o 

8483 

853o 

8576 

8623 

8670 

8716 

8763 

8810 

8856 

8903 

931 

8950 

8996 

9043 

9090 

9i36 

9183 

9229 

9276 

9323 

9369 

932 

9416 

9463 

9509 

9556 

9602 

9649 

9695 

9742 

9789 

9835 

933 

9882 

9928 

9975 

.  .21 

..68 

.114 

.161 

.207 

.254 

.3oo 

934 

970347 

0393 

o44o 

o486 

o533 

0579 

0626 

0672 

0719 

0765 

46 

935 

0812 

o858 

0904 

0951 

0997 

io44 

1090 

1137 

ii83 

1229 

936 

1276 

l322 

1369 

i4i5 

i46i 

i5o8 

i554 

1601 

1647 

1693 

937 

1740 

1786 

i832 

1879 

1925 

1971 

2018 

2064 

21 10 

2157 

938 

2203 

2249 

2295 

2342 

2388 

2434 

2481 

2527 

2573 

2619 

939 

2666 

2712 

2758 

2804 

285i 

2897 

2943 

2989 

3o35 

3082 

940 

3 1 28 

3174 

3220 

3266 

33i3 

3359 

34o5 

345i 

3497 

3543 

941 

3590 

3636 

3632 

3728 

3774 

3820 

3866 

3913 

3959 

4oo5 

942 

4o5i 

4097 

4i43 

4189 

4235 

4281 

4327 

4374 

4420 

4466 

943 

45i2  4558 

46o4 

465o 

4696 

4742 

4788 

4834 

4880 

4926 

N. 

0 

1 

2 

3 

4 

5 

6 

7 

8 

9 

D. 

b 
,* 

'48  ^^  r  5 

ID 

i4 

19 

24 

29 

34 

38 

43 

sa  . 

47  P^   5 

9 

i4 

19 

24 

28 

33 

38 

42 

Q 

46  Ph  [  5 

9 

i4 

18 

23 

28 

32 

37 

4i 

20 


Logarithms  of   Numbers. 


N. 


944 
945 
946 

947 
948 

949 
960 

951 
962 
953 

954 
955 
956 
957 
958 
959 
960 
961 
962 
963 

964 
965 
966 
967 
968 
969 
970 

97' 
972 

973 

974 
975 
976 

977 

978 

979 
980 

981 

982 

983 

984 
985 
986 
9S7 
98S 
989 
990 
991 
992 
993 

994 
995 
996 

997 
998 

999 


0 


974972 
5432 
5891 
635o 
6808 
7266 
7724 
8181 
8637 
9093 

9548 
980003 
o458 
0912 
1 366 
1819 
2271 
2723 
3175 
3626 

4077 
4527 

4977 
5426 
5375 
6324 
6772 
7219 
7666 
8ii3 

8559 
9005 
9450 
9895 
990339 
0783 
1226 
1669 
21 1 1 
2554 

2995 
3436 

3877 
4317 

4757 
5196 
5635 
6074 
65i2 
6949 

7386 
7823 
8259 
8695 
9i3i 
9565 


1 


5oib 
5478 
5937 
6396 
6854 
7312 

7769 
8226 
8683 
9i38 

9594 
oo49 
o5o3 
0957 
i4ii 
1864 
23 1 6 
2769 

3220 

3671 

4l22 

4572 
5022 

5471 
5920 

6369 
6817 
7264 
7711 
8157 

86o4 
9049 
9494 
9939 
o383 
0827 
1270 
1713 
2i56 
2598 

3o39 
3480 
3921 
436i 
4801 
524o 
5679 
61 17 
6555 
6993 

7430 
7867 
83o3 
8739 
9174 
9609 


N. 


0 


5o64 
5524 
5983 
6442 
6900 
7358 
7815 
8272 
8728 
9184 

9639 
0094 
o549 
ioo3 
i456 
1909 
2362 

2814 
3265 
3716 

4167 
4617 
5067 
55i6 
5965 
64i3 
6861 
7309 
7756 
8202 

8648 
9094 
9539 
9983 
0428 
0871 
!3i5 
1758 
2200 
2642 

3o83 
3524 
3965 
44o5 
4845 
5284 
5723 
6161 
65gg 
7037 

7474 
7910 

8347 
8782 
9218 
9652 


5i  10 
5570 
6029 
6488 
6946 
74o3 
7861 
83i7 
8774 
9230 

9685 
oi4o 
0594 
io48 
i5oi 
1954 
2407 
2859 
33io 
3762 

4212 
4662 

5U2 

556i 
6010 
6458 
6906 
7353 
7800 
8247 

8693 
9i38 
9583 
..28 
0472 
eg  1 6 
i35g 
1802 
2244 
2686 

3127 

3568 
4009 

4449 
4889 
5328 
5767 
6205 
6643 
7080 

7517 
7954 
8390 
8826 
9261 
9696 


1 


5g 


r46 

ti 

45 

u 

44 

Ph    ■ 

43 

Oh 

5 
4 

4 


9 
9 
9 
9 


5i56 
56i6 
6075 
6533 
6992 
7449 
7906 
8363 
8819 
9275 

9730 
oi85 
o64o 
1093 

i547 
2000 

2452 
2904 
3356 
3807 

4267 
4707 
5i57 
56o6 
6o55 
65o3 
6951 
7398 
7845 
8291 

8737 
9183 
9628 
..72 
o5i6 
0960 
i4o3 
i846 
2288 
2730 

3172 
36i3 
4o53 

4493 
4933 
5372 
58ii 
6249 
6687 
7124 

7561 
7998 
8434 
8869 
93o5 
9739 


i4 
i4 
i3 
i3 


9 


18 
18 
18 

17 


5202 

5662 
6121 
6579 
7037 
7495 
7952 
8409 
8865 
9321 

9776 

023l 

o685 
1 139 
1592 
2o45 

2497 
2949 
3401 
3852 

43o2 

4752 

5202 

565i 
6100 
6548 
6996 
7443 
7890 
8336 

8782 
9227 
9672 
.117 
o56i 
ioo4 
i448 
1890 
2333 
2774 

3216 

3657 
4097 
4537 

4977 
5416 

5854 
6293 
6731 
7168 

7605 

8o4i 

8477 
8913 

9348 

9783 


5248 
5707 
6167 
6625 
7083 
7541 
7998 

8454 
8911 
9366 

9821 
0276 
0730 

ii84 
1637 
2090 
2543 
2994 
3446 
3897 

4347 
4797 
5247 
5696 

6i44 
6593 
7o4o 
7488 
7934 
838i 

8826 
9272 
9717 
.161 
o6o5 
1049 
1492 
1935 
2377 
2819 

3260 
3701 

4i4i 
458i 
5  02 1 
5460 
5898 
6337 

6774 
7212 

7648 
8o85 
852  1 
8956 
9392 
9826 


23 
23 
22 
22 


5294 
5753 
6212 
6671 
7129 

7586 
8043 
85oo 
8956 
9412 

9867 

o322 

0776 
1229 

i683 
2i35 
2588 
3o4o 
3491 
3942 

4392 

4842 
6292 
5741 
6189 
6637 
7085 
7532 

7979 
8425 

8871 
9316 
9761 
.206 
o65o 
1093 
i536 
1979 
2421 
2863 

33o4 

3745 
4i85 
4625 
5o65 
55o4 
5942 
638o 
6818 
7255 

7692 
8129 
8564 
9000 
9435 
9870 


5340 
5799 
6258 
6717 
7175 
7632 
8089 
8546 
9002 
9457 

9912 
0367 
0821 
1275 

1728 

2l8t 

2633 
3o85 
3536 
3987 

4437 
4887 
5337 
5786 
6234 
6682 
7i3o 
7577 
8024 
8470 

8916 
9361 
9806 
.25o 
0694 
1 137 
i58o 

2023 

2465 
2907 

3348 
3789 
4229 
4669 
5io8 

5547 
5986 

6424 
6862 
7299 

7736 
8172 
8608 
9043 

9479 
99i3 


5386 
5845 
63o4 
6763 
7220 
7678 
8i35 
8591 
9047 
95o3 

9958 

o4l2 
0867 
l320 

1773 

2226 

2678 

3i3o 
358i 
4o32 

4482 
493: 

5382 
583o 
6279 
6727 
7175 
7622 
8068 
85i4 

8960 
94o5 
9850 
.294 
0738 
1182 
1625 
2067 
2509 
2951 

3392 

3833 
4273 
4713 
5i52 
5591 
6o3o 
6468 
6906 
7343 

7779 
8216 

8652 

9087 

9522 

9957 


D. 

"46" 


45 


44 


43 


6 


28 
27 
26 
26 


9 


D. 


32 
32 

3i 
3o 


37 
36 
35 
34 


4i 
4i 
40 
39 


TABLE 

OP 

LOGARITHMIC  SINES  AND  TANGENTS 


FOR  EVERY 


TEN  SECONDS  OF  THE  QUADRANT. 


22 


LOGAEITHMIC    SiNES. 


Min. 

Sine  of 

0  Degree. 

P.  Part 
to  1". 

0" 

10" 

30" 

30" 

40" 

50" 

o 

luf.  Neg. 

5.685575 

5.986605 

6. 162696 

6.287635 

6.384545 

59 

I 

6.463726 

6.530673 

6.588665 

639817 

685575 

726968 

58 

2 

764756 

799518 

83i7o3 

861666 

889695 

916024 

57 

3 

940847 

964328 

986605 

7.007794 

7.027997 

7.o473o3 

56 

4 

7.065786 

7.o835i5 

7. ioo548 

116939 

132733 

147973 

55 

5 

162696 

176936 

190725 

204089 

217054 

229643 

54 

6 

241877 

253776 

265358 

276639 

287635 

298358 

53 

7 

308824 

319043 

329027 

338787 

348332 

357672 

52 

8 

3668i6 

375771 

384544 

393145 

401578 

409850 

5i 

9 

417968 

425937 

433762 

441449 

449002 

456426 

5o 

lO 

463726 

470904 

477966 

484915 

491754 

498488 

49 

689.4 

II 

5o5ii8 

5ii649 

5i8o83 

524423 

530672 

536832 

48 

629.4 

12 

542906 

548897 

554806 

56o635 

566387 

572065 

47 

579.1 

i3 

577668 

583201 

588664 

594059 

599388 

6o4652 

46 

536.2 

i4 

609853 

614993 

620072 

625093 

63oo56 

634964 

45 

499.2 

i5 

639816 

6446i5 

649361 

654o56 

658701 

663297 

44 

467.0 

i6 

667845 

672345 

676799 

681208 

685573 

689895 

43 

438.7 

I? 

694173 

698410 

702606 

706762 

710879 

714957 

42 

4i3.6 

i8 

718997 

722999 

726965 

730896 

734791 

738651 

4i 

391.3 

19 

742478 

746270 

75oo3i 

753758 

757455 

761119 

4o 

371 .2 

20 

764754 

768358 

771932 

775477 

778994 

782482 

39 

353.1 

21 

785943 

789376 

792782 

796162 

7995i5 

802843 

38 

336.7 

22 

8o6i46 

809423 

812677 

815906 

81911 1 

822292 

37 

321.7 

23 

825451 

828586 

831700 

834791 

837860 

840907 

36 

3o8.o 

24 

843934 

846939 

849924 

852889 

855833 

858757 

35 

295.4 

25 

861662 

864548 

867415 

870262 

873092 

875902 

34 

283.8 

26 

878695 

881470 

884228 

886968 

889690 

892396 

33 

273.1 

27 

895085 

897758 

900414 

9o3o54 

905678 

908287 

32 

263.2 

28 

910879 

913457 

916019 

918566 

921098 

923616 

3i 

254.0 

29 

926119 

928608 

931082 

933543 

935989 

938422 

3o 

245.4 

3o 

940842 

943248 

945641 

948020 

95o387 

952741 

29 

237.3 

3i 

955082 

957411 

959727 

962031 

964322 

966602 

28 

229.8 

32 

968870 

971126 

973370 

9756o3 

977824 

980034 

27 

222.7 

33 

982233 

984421 

986598 

988764 

990919 

993064 

26 

216. 1 

34 

995198 

997322 

999435 

8.001538 

8.  oo363i 

8.005714 

25 

209.8 

35 

8.007787 

8.009850 

8.011903 

013947 

015981 

oi8oo5 

24 

203.9 

36 

020021 

022027 

024023 

026011 

027989 

029959 

23 

198.3 

37 

031919 

033871 

o358i4 

037749 

039675 

041592 

22 

193.0 

38 

o435oi 

o454oi 

047294 

049178 

o5io54 

052922 

21 

188.0 

39 

054781 

056633 

o58477 

o6o3i4 

062142 

063963 

20 

i83.2 

4o 

065776 

067582 

069380 

071 171 

072955 

074731 

19 

178.7 

4i 

076500 

078261 

080016 

081764 

o835o4 

085238 

18 

174.4 

42 

086965 

088684 

090398 

092104 

093804 

095497 

17 

170.3 

43 

097183 

098863 

100537 

102204 

103864 

io55i9 

16 

166.4 

44 

107167 

108809 

110444 

112074 

113697 

ii53i5 

i5 

162.6 

45 

1 16926 

118532 

120l3l 

121725 

I233i3 

124895 

i4 

159. 1 

46 

126471 

128042 

129607 

i3ii66 

132720 

134268 

i3 

155.6 

47 

i358io 

137348 

138879 

i4o4o6 

141927 

143443 

12 

i52.4 

48 

144953 

146458 

147959 

149453 

150943 

152428 

11 

149.2 

49 

153907 

i55382 

156852 

i583i6 

159776 

i6i23i 

10 

i46.2 

5o 

162681 

164126 

165566 

167002 

168433 

169859 

9 

143.3 

5i 

r 

171280 

172697 

1 74 1 09 

175517 

176920 

178319 

8 

i4o.5 

52 

179713 

i8iio3 

182488 

183869 

185245 

186617 

7 

137.9 

53 

187985 

189348 

190707 

192062 

193413 

194760 

6 

135.3 

54 

196102 

197440 

198774 

200104 

2oi43o 

202752 

5 

i32.8 

55 

204070 

2o5384 

206694 

208000 

209302 

210601 

4 

i3o.4 

56 

211895 

2i3i85 

214472 

215755 

217034 

218309 

3 

128. 1 

57 

219581 

220849 

2221l3 

223374 

224631 

225884 

2 

125.9 

58 

227134 

22838o 

229622 

23o86i 

232096 

233328 

1 

123.7 

59 

234557 

235782 

237003 

238221 

239436 

240647 

0 

121 .6 

60" 

50" 

40" 

30" 

20" 

10" 

Min. 

Cc 

)-sine  of  ^ 

19   Degree 

3, 

L( 

3GAEITHMI0  TaNGENTS 

• 

23 

Min. 

Tangent  of 

0  Degree 

1 

p.  Part 
to  1." 

0" 

10" 

20" 

30" 

40" 

50" 

o 

luf.  Neg. 

5.685575 

5.986605 

6. 162696 

6.287635 

6  384545 

59 

I 

6.463726 

6.530673 

6.588665 

6398x7 

685575 

726968 

58 

2 

764756 

7995x8 

83i7o3 

861666 

889695 

9x6024 

57 

3 

940847 

964329 

986605 

7.007794 

7.027998 

7.047303 

56 

4 

7.065786 

7.o835x5 

7.  ioo548 

1x6939 

132733 

147973 

55 

5 

162696 

176937 

190725 

204089 

2x7054 

229643 

54 

6 

241878 

253777 

265359 

276640 

287635 

298359 

53 

7 

308825 

3x9044 

329028 

338788 

348333 

357673 

52 

8 

3668x7 

375772 

384546 

393x46 

4oi579 

409852 

5i 

9 

417970 

425939 

433764 

44i45i 

449004 

456428 

5o 

lO 

463727 

470906 

477968 

484917 

491756 

498490 

49 

689.4 

II 

5o5i2o 

5ix65i 

5i8o85 

524426 

530675 

536835 

48 

629.4 

12 

542909 

548900 

554808 

56o638 

566390 

572068 

47 

679.1 

i3 

577672 

583204 

58S667 

594062 

599391 

6o4655 

46 

536.2 

i4 

609857 

614996 

620076 

625097 

63oo6o 

634968 

45 

499.2 

i5 

639820 

644619 

649366 

654o6x 

658706 

6633o2 

44 

467.0 

i6 

667849 

672350 

676804 

68x2x3 

685578 

689900 

43 

438.7 

I? 

694179 

6984x6 

7026x2 

706768 

710885 

714963 

42 

4i3.6 

i8 

719003 

723oo5 

726972 

730902 

734797 

738658 

4i 

391.3 

'9 

742484 

746277 

750037 

753765 

757462 

761127 

4o 

371.2 

20 

764761 

768365 

771940 

775485 

779002 

782490 

39 

353.1 

21 

785951 

789384 

792790 

796170 

799524 

802852 

38 

336.7 

22 

8o6i55 

809433 

812686 

8x59x5 

819120 

822302 

37 

321.7 

23 

825460 

828596 

83x7X0 

83480I 

837870 

8409x8 

36 

3o8.o 

24 

843944 

846950 

849935 

852900 

855844 

858769 

35 

295.4 

25 

861674 

86456o 

867426 

870274 

873x04 

8759x5 

34 

283.9 

26 

878708 

88x483 

884240 

886981 

889704 

8924x0 

33 

273.2 

27 

895099 

897772 

900428 

9o3o68 

905692 

908301 

32 

263.2 

28 

910894 

913471 

9x6034 

9i858x 

921x13 

923631 

3i 

254.0 

29 

926134 

928623 

93x098 

933559 

936006 

938439 

3o 

245.4 

3o 

94o858 

943265 

945658 

948037 

95o4o4 

952758 

29 

237.3 

3i 

955100 

957428 

959745 

962049 

964341 

96662X 

28 

229.8 

32 

968889 

97x145 

973389 

975622 

977844 

980054 

27 

222.7 

33 

982253 

984441 

986618 

988785 

990940 

993o85 

26 

216.2 

34 

995219 

997343 

999457 

8.oox56o 

8.003653 

8.005736 

25 

209.8 

35 

8.007809 

8.009872 

8.01 X926 

0x3970 

ox6oo4 

018029 

24 

203.9 

36 

020044 

02205x 

o24o48 

026035 

028014 

029984 

23 

198.3 

37 

031945 

033897 

o3584o 

037775 

03970X 

o4x6i8 

22 

193.0 

38 

043527 

045428 

04732X 

049205 

o5xo8i 

052949 

21 

188.0 

39 

054809 

o56662 

o585o6 

060342 

062171 

063992 

20 

183.3 

4o 

o658o6 

067612 

069410 

07x201 

072985 

074761 

19 

178.7 

4i 

076531 

078293 

080047 

08x795 

083536 

085270 

x8 

174.4 

42 

086997 

088717 

09043X 

092137 

093837 

095530 

17 

170.3 

43 

097217 

098897 

100571 

102239 

103900 

I05554 

16 

166.4 

44 

107203 

108845 

iio48x 

1121x0 

1x3734 

115352 

i5 

162.7 

45 

116963 

1x8569 

120169 

121763 

X2335i 

124933 

i4 

169. 1 

46 

i265io 

12808X 

129646 

i3x2o6 

132760 

1 34308 

i3 

155.7 

47 

i3585i 

137389 

13892X 

i4o447 

141969 

X43485 

12 

i52.4 

48 

144996 

i465ox 

148001 

149497 

150987 

152472 

II 

149.3 

49 

153952 

155426 

156896 

i5836i 

159821 

161276 

10 

l46.2 

5o 

162727 

164172 

i656i3 

167049 

168480 

169906 

9 

143.4 

5i 

171328 

172745 

I74i58 

175566 

176969 

178368 

8 

x4o.6 

52 

179763 

i8ii53 

182538 

1839x9 

185296 

186668 

7 

137.9 

53 

i88o36 

189400 

190760 

1921x5 

193466 

194813 

6 

i35.3 

54 

196156 

197494 

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200x59 

201485 

202808 

5 

i32.8 

55 

204126 

2o544o 

206750 

208057 

209359 

2X0658 

4 

i3o.4 

56 

211953 

2X3243 

2i453o 

2x58x4 

217093 

2x8369 

3 

128.  I 

57 

2 1 964 1 

220909 

222x74 

223434 

224692 

225945 

2 

125.9 

58 

227195 

228442 

229685 

230924 

232160 

233392 

I 

123.8 

59 

234621 

235846 

237068 

238286 

239502 

240713 

0 

121 .7 

60" 

50" 

40" 

1     30" 

20" 

10" 

Min. 

Co- 

tangent  0 

f  89  Degr 

ees. 

24 

Logarithmic  » 

Sines. 

Min. 

Sine  of 

I  Degree. 

P.  Part 
to  1". 

0" 

10" 

20" 

30" 

40" 

50" 

o 

8.24i855 

8.243060 

8.244261 

8.245459 

8.246654 

8.247845 

69 

119.6 

I 

249033 

25o2l8 

25i4oo 

252578 

253753 

264926 

68 

117.7 

o 

256094 

257260 

258423 

259582 

260739 

261892 

57 

116.8 

3 

263o42 

264190 

265334 

266475 

267613 

268749 

56 

114.0 

4 

269881 

27IOIO 

272137 

273260 

274381 

276499 

65 

1 12.2 

5 

276614 

277726 

278835 

279941 

281045 

282145 

54 

1 10.5 

6 

283243 

284339 

285431 

286521 

287608 

288692 

63 

108.8 

7 

289773 

290852 

291928 

293002 

294073 

296141 

52 

107.2 

8 

296207 

297270 

298330 

299388 

3oo443 

301496 

5i 

106.7 

9 

3o2546 

303594 

3o4639 

3o568i 

306721 

307769 

5o 

104.1 

lO 

8.308794 

8.309827 

8.3io857 

8.3ii885 

8.312910 

8.313933 

49 

102.6 

II 

314954 

315972 

316987 

3i8ooi 

319012 

320021 

48 

101 .2 

12 

321027 

32203l 

323o33 

324o32 

325029 

326024 

47 

99.8 

i3 

327016 

328007 

328995 

329980 

330964 

331945 

46 

98.5 

i4 

332924 

333901 

334876 

335848 

336819 

337787 

46 

97.1 

i5 

338753 

339717 

340679 

34i638 

342596 

343651 

44 

96.8 

i6 

3445o4 

345456 

3464o5 

347352 

348297 

349240 

43 

94.6 

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35oi8i 

35i  119 

352o56 

352991 

353924 

354865 

42 

93.4 

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355783 

356710 

357635 

358558 

359479 

360398 

4i 

92.2 

19 

36i3i5 

36223o 

363i43 

364o55 

364964 

366871 

4o 

91  .0 

20 

8.366777 

8.367681 

8.368582 

8.369482 

8.370380 

8.371277 

39 

89.9 

21 

372171 

373063 

373954 

374843 

375730 

376616 

38 

88.8 

22 

377499 

378380 

379260 

38oi38 

38ioi5 

381889 

37 

87.7 

23 

382762 

383633 

3845o2 

385370 

386236 

387100 

36 

86.7 

24 

387962 

388823 

389682 

390539 

391395 

392249 

36 

86.6 

25 

393101 

393951 

394800 

395647 

396493 

397337 

34 

84.6 

26 

398179 

399020 

399859 

400696 

4oi532 

402366 

33 

83.7 

27 

4o3i99 

4o4o3o 

4o4859 

405687 

4o65i4 

407338 

32 

82.7 

28 

408161 

408983 

409803 

410621 

4ii438 

412264 

3i 

81.8 

29 

4i3o68 

4i388o 

414691 

4i55oo 

4i63o8 

417114 

3o 

80.8 

3o 

8.417919 

8.418722 

8.419524 

8.420325 

8.421123 

8.421921 

29 

80.0 

3i 

422717 

4235ii 

4243o4 

425096 

425886 

426676 

28 

79.1 

32 

427462 

428248 

429032 

429815 

430697 

43i377 

27 

78.2 

33 

432156 

432934 

433710 

434484 

435267 

436029 

26 

77-4 

34 

436800 

437569 

438337 

439103 

439868 

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25 

76.6 

35 

441394 

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442915 

443674 

444431 

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76.8 

36 

445941 

446694 

447446 

448196 

448946 

449694 

23 

76.0 

37 

45o44o 

45ii86 

451930 

452673 

4534x4 

464i54 

22 

74.2 

38 

454893 

455631 

456368 

457103 

457837 

458670 

21 

73.5 

39 

459301 

46oo32 

460761 

461489 

462216 

462941 

20 

72.7 

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8.463665 

8.464388 

8.465IIO 

8.465830 

8.466560 

8.467268 

19 

72.0 

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468701 

469416 

470129 

470841 

471663 

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71.3 

43 

472263 

472971 

473679 

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476796 

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70.6 

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478601 

479299 

479997 

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48i388 

482083 

482776 

483467 

484i68 

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69.2 

45 

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485536 

486224 

486910 

487696 

488280 

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68.6 

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488963 

489645 

490326 

491006 

491686 

492363 

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47 

493040 

493715 

494390 

495064 

496736 

496408 

12 

67.3 

48 

497078 

497748 

498416 

499084 

499760 

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66.7 

49 

5oio8o 

501743 

5o24o5 

5o3o67 

603727 

5o4386 

10 

66.1 

5o 

8.5o5o45 

8.5o5702 

8.5o6358 

8.507014 

8.607668 

8.5o832i 

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65.5 

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509625 

510275 

510925 

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612221 

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64.9 

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512867 

5i35i3 

5i4i57 

5i48oi 

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5i6o86 

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64.3 

53 

516726 

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5i8oo5 

5i8643 

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619916 

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63.7 

54 

52o55i 

521186 

521819 

52245i 

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623713 

5 

63.2 

55 

524343 

524972 

525599 

526226 

626862 

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62.6 

56 

528102 

528725 

529347 

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530690 

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62. 1 

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533679 

534296 

534909 

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61.6 

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535523 

536i36 

536747 

537358 

537969 

538678 

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61 . 1 

59 

539186 

539794 

54o4oi 

541007 

541612 

542216 

0 

60.5 

60" 

50" 

40" 

30" 

20" 

10" 

Min. 



c 

o-sine  of 

88  Degree 

!S. 

Logarithmic  Tangents 

• 

25 

Min. 

Tangent  0] 

1  Degre 

e. 

p.  Part 

to  1". 

0" 

10" 

20" 

30" 

40" 

50" 

o 

8.241921 

8.243126 

8.244328 

8.245526 

8.246721 

8.247913 

59 

1x9.7 

I 

249102 

250287 

25x469 

252648 

253823 

254996 

58 

117. 7 

2 

256i65 

257331 

258494 

259654 

26081 X 

26x965 

57 

1x5.8 

3 

263ii5 

264263 

265408 

266549 

267688 

268824 

56 

1x4. 0 

4 

269956 

271086 

2722x3 

273337 

274458 

275576 

55 

1x2.2 

5 

276691 

277804 

278913 

280020 

281 124 

282225 

54 

no. 5 

6 

283323 

284419 

285512 

286602 

287689 

288774 

53 

108.9 

7 

289856 

290935 

292012 

293086 

294157 

295226 

52 

107.2 

8 

296292 

297355 

298416 

299474 

3oo53o 

3oi583 

5i 

105.7 

9 

302634 

3o3682 

304727 

305770 

3o68ii 

307849 

5o 

X04.2 

lO 

8.3o8884 

8.309917 

8.310948 

8.31x976 

8.3i3oo2 

8.3i4o25 

49 

X02.7 

II 

3i5o46 

3x6o65 

317081 

318095 

3x9x06 

320X  x5 

48 

X0I.3 

12 

32II22 

322127 

323x29 

324129 

325x26 

32612X 

47 

99.8 

i3 

3271 i4 

328io5 

329093 

33oo8o 

33io64 

332045 

46 

98.5 

i4 

333025 

334002 

334977 

335950 

33692X 

337890 

45 

97.2 

i5 

338856 

339821 

340783 

34x743 

34270X 

343657 

44 

95.9 

i6 

344610 

345562 

3465x2 

347459 

3484o5 

349348 

43 

94.6 

17 

350289 

351229 

352166 

353x01 

354o35 

354966 

42 

93.4 

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355895 

356823 

357748 

35867X 

359593 

36o5i2 

4i 

92.2 

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36i43o 

362345 

363259 

364171 

365o8i 

365988 

4o 

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20 

8.366895 

8.367799 

8.368701 

8.369601 

8. 870500 

8.371397 

39. 

89.9 

21 

372292 

373x85 

374076 

374965 

375853 

376738 

38 

88.8 

22 

377622 

378504 

379385 

38o263 

38ix4o 

382oi5 

37 

87.8 

23 

382889 

383760 

384630 

385498 

386364 

387229 

36 

86.7 

24 

388092 

388953 

389813 

390670 

391526 

392881 

85 

85.7 

25 

393234 

394085 

394934 

395782 

396628 

397472 

34 

84.7 

26 

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399x56 

399996 

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40x670 

4o25o5 

88 

88.7 

27 

4o3338 

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4o5ooo 

4o5828 

4o6655 

407480 

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82.8 

28 

4o83o4 

409126 

409946 

410765 

4ii583 

412899 

3x 

81.8 

29 

4i32i3 

414026 

4x4837 

4x5647 

4x6456 

417268 

80 

80.9 

3o 

8.418068 

8.418872 

8.419674 

8.420475 

8.42x274 

8.422072 

29 

80.0 

3i 

422869 

423664 

424458 

42525o 

426041 

426880 

28 

79.x 

32 

427618 

428404 

429189 

429973 

430755 

43i536 

27 

78.8 

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433093 

433870 

434645 

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77.5 

34 

436962 

437732 

438500 

439267 

44oo33 

440797 

25 

76.6 

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443082 

443841 

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75.8 

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446864 

447616 

448368 

449117 

449866 

23 

75.0 

37 

45o6i3 

45i359 

452x04 

452847 

453589 

454330 

22 

74.3 

38 

455070 

455808 

456545 

457281 

458ox6 

458749 

2X 

73.5 

39 

459481 

460212 

460942 

461670 

462398 

468124 

20 

72.8 

4o 

8.463849 

8.464572 

8.465295 

8.466016 

8.466736 

8.467455 

19 

72.1 

4i 

468172 

468889 

469604 

47o3i8 

47io3i 

471743 

18 

7X.8 

42 

472454 

473163 

473872 

474579 

475285 

475990 

17 

70.7 

43 

476693 

477396 

478097 

478798 

479497 

480195 

16 

70.0 

44 

480892 

48i588 

482283 

482976 

483669 

48436o 

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69.8 

45 

485o5o 

485740 

486428 

487x15 

48780X 

488486 

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68.6 

46 

489170 

489852 

490534 

49 1 2 1 5 

491894 

492573 

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68.0 

47 

493250 

493927 

494602 

495276 

495949 

496622 

12 

67.4 

48 

497293 

497963 

498632 

499300 

499967 

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66.8 

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501298 

501962 

502625 

503287 

5o3948 

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66.1 

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8.505267 

8.5o5925 

8.5o6582 

8.5o7238 

8.507893 

8.5o8547 

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65.5 

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509200 

509852 

5xo5o3 

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63.8 

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521425 

522059 

522692 

523324 

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68.3 

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525844 

526472 

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62.2 

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61.6 

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536392 

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61. 1 

59 

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0 

60.6 

60" 

50" 

40" 

30" 

20" 

10" 

Min. 

Co- 

tangent  0: 

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ees. 

26 

I 

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Sines 

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Sine  of  2  Dejjrees. 

Sine  of  3  Degrees. 

0" 

10" 

20" 

30" 

40" 

50" 

0"     10" 

20" 

30" 

40"   50" 

0 

8.542819 

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5224 

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0 

8.718800 

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8.553539 

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58 

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58 

9956 

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59 

6383 

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59 

8.841774 

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2378 

2680 

2982 

3283 

0 

60" 

50" 

40" 

30"  1  20" 

10" 

c 

60" 

50" 

40" 

30" 

20" 

10" 

d 

Co-sine  of  87  Degrees. 

Co-sine  of  86  Degrees. 

„  p  J  1"  2"  3"  4"  5"  6"  r     8"  9" 
1 .  i-art  1  ^g  gg  j^g  jgg  2^j  2g9  333  ggg  ^3^ 

P  P,rf  i  1"  3"  3"  4"  5"  6"  7"  8"  9" 
r.  rarD  ^  3^  gg  103  138  173  207  241  275  310 

Logarithmic  Tangents, 

27 

Tangent  of  2  Degrees. 

i 

Tangent  of  3  Degrees. 

0" 

10" 

20" 

30" 

40" 

50" 

0" 

10" 

20" 

30"  1  40"   50" 

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8.721806 

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55 

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8.840998 

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2825 

3128 

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0 

60" 

50" 

40" 

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20" 

10" 

d 

i 

60" 

50"  1  40" 

30"   20" 

10" 

Co-tangent  of  87  Degrees. 

Co-tangent  of  86  Degrees. 

P  Po,f  i  1"  2"  3"  4"  5"  6"  7"  8" 
^-  *^^"  ]  48  97  145  193  242  290  338  387  4 

9" 
35 

„  „  J  1"  2"  3"  4"  5"  6"  7"  8" 
^-  ^^^'^  ]  35  69  104  138  173  207  242  276  ! 

9" 

m 

28 

Logarithmic  Sines. 

a 

Sine  of  4  Degrees. 

.5 

Sine  of  5  Degrees. 

0" 

10" 

20" 

30" 

40" 

50" 

0" 

10" 

20" 

30" 

40" 

50" 

o 

8.843585 

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0 

8.940296 

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1738 

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2 

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22 

38 

7297 

7557 

7817 

8076 

8335 

8595 

21 

38 

1943 

2i56 

2370 

2583 

2796 

3009 

21 

39 

8853 

9112 

9371 

9629 

9888 

.i46 

20 

39 

3222 

3435 

3647 

386o 

4072 

4285 

20 

4o 

8.910404 

0662 

0919 

1177 

1434 

1692 

19 

4o 

4497 

4709 

4921 

5x33 

5345 

5556 

19 

4i 

1949 

2206 

2462 

2719 

2976 

3232 

18 

4i 

5768 

5980 

6191 

6402 

66i4 

6825 

18 

42 

3488 

3744 

4ooo 

4256 

45ii 

4767 

17 

42 

7o36 

7247 

7457 

7668 

7879 

8089 

17 

43 

5o22 

5277 

5532 

5787 

6o4i 

6296 

16 

43 

8299 

85io 

8720 

8930 

9140 

9350 

16 

44 

655o 

68o5 

7059 

73i3 

7566 

7820 

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44 

9560 

9769 

9979 

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.398 

.607 

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45 

8073 

8327 

858o 

8833 

9086 

9338 

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45 

9.000816 

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i443 

i652 

i860 

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46 

9591 

9843 

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.348 

.600 

.852 

i3 

46 

2069 

2277 

2486 

2694 

2902 

3iio 

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47 

8.921103 

i355 

1606 

i858 

2109 

236o 

12 

47 

33i8 

3526 

3733 

3941 

4i49 

4356 

12 

48 

2610 

2861 

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3362 

36i2 

3862 

II 

48 

4563 

4771 

4978 

5i85 

5392 

5599 

II 

49 

4i  12 

4362 

46i2 

4861 

5iii 

536o 

10 

49 

58o5 

6012 

6218 

6425 

663i 

6837 

xo 

5o 

5609 

5858 

6107 

6355 

6604 

6852 

9 

5o 

7044 

725o 

7456 

7661 

7867 

8073 

9 

5i 

7100 

7348 

7596 

7844 

8092 

8339 

8 

5i 

8278 

8484 

8689 

8894 

9100 

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8 

52 

8587 

8834 

9081 

9328 

9575 

9821 

7 

52 

9510 

97i5 

9919 

.  124 

.329 

.533 

7 

53 

8.930068 

o3i4 

o56o 

0806 

io52 

1298 

6 

53 

9.010737 

0942 

ii46 

i35o 

i554 

1758 

6 

54 

1 544 

1789 

2o35 

2280 

2525 

2770 

5 

54 

1962 

2i65  2369 

2572 

2776 

2979 

5 

55 

3oi5 

3260 

35o4 

3749 

3993 

4237 

4 

55 

3182 

3385 

3588 

3791 

3994 

4197 

4 

56 

448i 

4725 

4969 

5212 

5456 

5699 

3 

56 

44oo 

4602 

48o5 

5007 

5209 

5411 

3 

57 

5942 

6 1 85 

6428 

6671 

6914 

7i56 

2 

57 

56i3 

58i5 

6017 

6219 

6421 

6622 

2 

58 

7398 

7641 

7883 

8125 

8366 

8608 

I 

58 

6824 

7025 

7227 

7428 

7629 

783o 

I 

59 

885c 

9091 

9332 

9573 

9814 

..55 

0 

59 

8o3i 

8232 

8433 

8633 

8834 

9034 

0 

60" 

50" 

40" 

30" 

20" 

10" 

i 

60" 

50"  1  40" 

30" 

20"  1  10" 

Co-sine  of  85  Degrees. 

Co-sine  of  84  Degrees. 

P. 

„   (  1"  2"  3"  4"  5"  6"  7"  8"  9" 
'  ^'■'^  1  37  53  80  107  134  160  187  214  241 

U'  2"  3'  4"  5"  6"  7"  8'  9' 
f.iart-^  22  44  66  87  109  131  153  175  197 

Logarithmic 

Tangents. 

29 

Tangent  of  4  Degrees. 

Tangent  of  5  Degrees. 

0" 

10" 

20"  1  30" 

40" 

50" 

0" 

10" 

20" 

30" 

40"  1  50" 

o 

8.844644 

4946 

5248 

555i 

5852 

6i54 

59 

0 

8.941952 

2194 

2437 

2679 

2921 

3i63 

59 

I 

6455 

6757 

7o58 

7358 

7659 

7959 

58 

I 

34o4 

3646 

3888 

4129 

4370 

46ii 

58 

2 

8260 

856o 

8859 

9159 

9458 

9758 

57 

2 

4852 

5093 

5334 

5574 

58i5 

6o55 

57 

3 

8.85oo57 

o355 

o654 

0952 

I25o 

1 548 

56 

3 

6295 

6535 

6775 

7015 

7255 

7494 

56 

4 

i846 

2i44 

2441 

2738 

3o35 

3332 

55 

4 

7734 

7973 

8212 

845i 

8690 

8929 

55 

5 

3628 

3925 

4221 

4517 

48i3 

5 1 08 

54 

5 

9168 

9406 

9644 

9883 

.  121 

.359 

54 

6 

54o3 

5699 

5993 

6288 

6583 

6877 

53 

6 

8.950597 

o834 

1072 

i3o9 

1 547 

1784 

53 

7 

7171 

7465 

7759 

8o53 

8346 

8639 

52 

7 

2021 

2258 

2495 

2732 

2968 

32o5 

52 

8 

8932 

9225 

9517 

9810 

.  102 

.394 

5i 

8 

3441 

3677 

391  3 

4i49 

4385 

4621 

5i 

9 

8.860686 

0977 

1269 

i56o 

i85i 

2142 

5o 

9 

4856 

5092 

5327 

5562 

5797 

6o32 

5o 

lO 

2433 

2723 

3oi3 

33o3 

3593 

3883 

49 

10 

6267 

65o2 

6736 

6971 

7205 

7439 

49 

1 1 

4173 

4462 

475i 

5o4o 

5329 

5617 

48 

II 

7674 

7908 

8i4i 

8375 

8609 

8842 

48 

12 

5906 

6194 

6482 

6769 

7057 

7344 

47 

12 

9075 

9309 

9542 

9775 

...8 

.240 

47 

i3 

7632 

7919 

8206 

8492 

8779 

9065 

46 

i3 

8.960473 

0705 

0938 

1170 

l402 

i634 

46 

i4 

9351 

9637 

9923 

.208 

.494 

•779 

45 

i4 

1866 

2098 

2329 

256i 

2792 

3o23 

45 

i5 

8.871064 

1349 

i633 

1918 

2202 

2486 

44 

i5 

3255 

3486 

3716 

3947 

4178 

4408 

44 

i6 

2770 

3o54 

3337 

3620 

3904 

4187 

43 

(6 

4539 

4869 

5099 

5329 

5559 

5789 

43 

17 

4469 

4752 

5o34 

5317 

5599 

588i 

42 

17 

6019 

6248 

6478 

6707 

6936 

7165 

42 

i8 

6162 

6444 

6725 

7006 

7287 

7568 

4i 

18 

7394 

7623 

7852 

8081 

83o9 

8538 

4i 

19 

7849 

8129 

8409 

8689 

8969 

9249 

4o 

19 

8766 

8994 

9222 

945o 

9678 

9905 

4o 

20 

9529 

9808 

..87 

.366 

.645 

.924 

39 

20 

8.970133 

o36o 

o588 

o8i5 

1042 

1269 

39 

21 

8.881202 

i48o 

1759 

2037 

23i4 

2592 

38 

21 

1496 

1723 

1949 

2176 

2402 

2628 

38 

22 

2869 

3i47 

3424 

3701 

3977 

4254 

37 

22 

2855 

3o8i 

3307 

3532 

3758 

3984 

37 

23 

453o 

4807 

5o83 

5358 

5634 

5910 

36 

23 

4209 

4435 

466o 

4885 

5i  10 

5335 

36 

24 

6i85 

646o 

6735 

7010 

7285 

7559 

35 

24 

5  5  60 

5784 

6009 

6233 

6458 

6682 

35 

25 

7833 

8108 

8382 

8655 

8929 

9202 

34 

25 

6906 

7i3o 

7354 

7578 

7801 

8025 

34 

26 

9476 

9749 

.  .22 

.295 

.567 

.840 

33 

26 

8?48 

8472 

8695 

8918 

9141 

9364 

33 

27 

8.891112 

i384 

i656 

1928 

2199 

2471 

32 

27 

9586 

9809 

..32 

.254 

.476 

.699 

32 

28 

2742 

3oi3 

3284 

3555 

3825 

4096 

3i 

28 

8.980921 

ii43 

1 364 

i586 

1808 

2029 

3i 

29 

4366 

4636 

4906 

5176 

5445 

5715 

3o 

29 

225l 

2472 

2693 

2914 

3i35 

3356 

3o 

3o 

5984 

6253 

6522 

6791 

7060 

7328 

29 

3o 

3577 

3798 

4oi8 

4238 

4459 

4679 

29 

3i 

7596 

7864 

8i32 

8400 

8668 

8935 

28 

3i 

4899 

5i  19 

5339 

5559 

5778 

5998 

28 

32 

9203 

9470 

9737 

...4 

.270 

.537 

27 

32 

6217 

6437 

6656 

6875 

7094 

73i3 

27 

33 

8.900803 

1069 

i335 

i6oi 

1867 

2l32 

26 

33 

7532 

7750 

7969 

8187 

84o6 

8624 

26 

34 

2398 

2663 

2928 

3193 

3458 

3722 

25 

34 

8842 

9060 

9278 

9496 

9714 

9931 

25 

35 

3987 

425i 

45i5 

4779 

5o43 

53o6 

24 

35 

8.990149 

o366 

o583 

0801 

1018 

1235 

24 

36 

5570 

5833 

6096 

6359 

6622 

6885 

23 

36 

i45i 

1668 

i885 

2101 

23i8 

2534 

23 

37 

7147 

74io 

7672 

7934 

8196 

8457 

22 

37 

2750 

2966 

3i82 

3398 

36i4 

383o 

22 

38 

8719 

8980 

9242 

95o3 

9764 

..25 

21 

38 

4o45 

4261 

4476 

4692 

4907 

5l22 

21 

39 

8.910285 

o546 

0806 

1066 

i326 

i586 

20 

39 

5337 

5552 

5766 

5981 

6196 

64io 

20 

4o 

i846 

2106 

2365 

2624 

2883 

3l42 

19 

40 

6624 

6839 

7o53 

7267 

748i 

7694 

19 

4i 

3401 

366o 

3918 

4i77 

4435 

4693 

18 

4i 

7908 

8122 

8335 

8549 

8762 

8975 

18 

42 

4951 

5209 

5466 

5724 

5981 

6238 

17 

42 

9188 

9401 

9614 

9827 

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.  252 

17 

43 

6495 

6752 

7009 

7265 

7522 

7778 

16 

43 

9.000465 

0677 

0889 

1102 

i3i4 

i526 

16 

44 

8o34 

8290 

8546 

8801 

9057 

9312 

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44 

1738 

1949 

2161 

2373 

2584 

2795 

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45 

9568 

9823 

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.332 

.587 

.84i 

i4 

45 

3007 

3218 

3429 

364o 

385i 

4061 

i4 

46 

8.921096 

i35o 

i6o4 

i858 

21 12 

2365 

i3 

46 

4272 

4483 

4693 

4904 

5ii4 

5324 

i3 

47 

2619 

2872 

3i25 

3378 

363i 

3884 

12 

47 

5534 

5744 

5954 

6164 

6373 

6583 

12 

48 

4i36 

4389 

464i 

4893 

5i45 

5397 

II 

48 

6792 

7002 

721 1 

7420 

7629 

7838 

II 

49 

5649 

5900 

6i52 

64o3 

6654 

6905 

ro 

49 

8047 

8256 

8465 

8673 

8882 

9090 

10 

5o 

7i56 

7407 

7657 

7908 

8i58 

84o8 

9 

5o 

9298 

9507 

97i5 

9923 

.i3i 

.338 

9 

5i 

8658 

8908 

9i58 

9407 

9657 

9906 

8 

5i 

9.010546 

0754 

0961 

1 169 

1376 

i583 

8 

52 

8.930155 

o4o4 

o653 

0902 

I  i5o 

1399 

7 

52 

1790 

1997 

22o4 

241 1 

2618 

2824 

7 

53 

1647 

1895 

2143 

2391 

2639 

2887 

6 

53 

3o3i 

3237 

3444 

365o 

3856 

4062 

6 

54 

3i34 

338i 

3629 

3876 

4l23 

4369 

5 

54 

4268 

4474 

468o 

4886 

5091 

5297 

5 

55 

46i6 

4862 

5109 

5355 

56oi 

5847 

4 

55 

55o2 

5707 

5913 

6118 

6323 

6528 

4 

56 

6093 

6339 

6584 

683o 

7075 

7320 

3 

56 

6732 

6937 

7142 

7346 

7551 

7755 

3 

57 

7565 

7810 

8o55 

8299 

8544 

8788 

2 

57 

7959 

8i64 

8368 

8572 

8776 

8979 

2 

58 

9032 

9276 

9520 

9764 

...7 

.25l 

I 

58 

9183 

9387 

9590 

9794 

9997 

.200 

I 

59 

8.940494 

0738 

0981 

1224 

1467 

1709 

0 

59 

9.02o4o3 

0606 

0809 

1012 

I2l5 

i4i8 

0 

60'- 

50"  1  40"  1  30" 

20" 

10" 

ii 

60" 

50" 

40" 

30" 

20" 

10" 

a 

Co-tangent  of  85  Degrees. 

Co-tangent  of  84  Degrees. 

p  p„,  j  1"  2"  3"  4"  5"  6"  7"  8"  9" 
r.  rart  ^  g^  ^^  gj  ^^g  ^^^  ^g^  jgg  ^jg  342 

p  p  J  1"  2"  3"  4"  5"  6"  7"  8"  9" 
i  •  ^^i"'  ]  22  44  66  88  110  132  154  177  199 

30 


Logarithmic   Sines. 


Sine  of  6  Degrees. 

Sine  of  7  Degrees. 

0"    10" 

20" 

30" 

40" 

50" 

0" 

10" 

20" 

30" 

40" 

50" 

0 

9.019235  9435 

9635 

9835 

..35 

.235 

59 

0 

9.085894 

6066 

6237 

6409 

658o 

6751 

59 

I 

9.o2o435jo635 

o834 

io34 

X233 

i433 

58 

I 

6922 

7093 

7264I7435 

7606 

7777 

58 

2 

i632 

i83i 

2o3o 

2229 

2428 

2627 

57 

2 

7947 

81x8 

8288 

8459 

8629 

8800 

57 

3 

2825 

,3o24 

3223 

3421 

3619 

38i8 

56 

3 

8970 

9140 

9310 

9480 

965x 

9820 

56 

4 

4oi6 

,42x4 

44x2 

46io 

4807 

5oo5 

55 

4 

9990 

.  x6o 

.33o 

.5oo 

.669 

.839 

55 

5 

52o3 

54oo 

5598 

5795 

5992 

6x89 

54 

5 

9.091008 

X178 

1 347 

x5i6 

x685 

x855 

54 

6 

6386 

6583 

6780 

6977 

7174 

7370 

53 

6 

2024 

2x93 

2362 

253o 

2699 

2868 

53 

7 

7567 

7763 

7960 

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8352 

8548 

52 

7 

3o37 

32o5 

3374 

3542 

371 1 

3879 

52 

8 

8744 

8940 

9x36 

9332 

9527 

9723 

5i 

8 

4047 

4216 

4384 

4552 

4720 

4888 

5i 

9 

9918 

.1x4 

.309 

.5o4 

.699 

.894 

5o 

9 

5o56 

5223 

5391 

5559 

5726 

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5o 

lO 

9.031089 

1284 

1479 

1673 

x868 

2062 

49 

xo 

6062 

6229 

6396 

6564 

673X 

6898 

49 

II 

2257 

245i 

2645 

2839 

3o33 

3227 

48 

XI 

7065 

7232 

7399 

7566 

7733 

7900 

48 

12 

3421 

36x5 

3809 

4002 

4x96 

4389 

47 

12 

8066 

8233 

8399 

8566 

8732 

8899 

47 

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4582 

4776 

4969 

5x62 

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5548 

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9065 

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9730 

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9. 100062 

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0725 

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7664 

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44 

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17x7 

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44 

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8o48 

8239 

843i 

8623 

88x4 

9005 

43 

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2048 

22X3 

2378 

2543 

2708 

2873 

43 

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9197 

9388 

9579 

9770 

9961 

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42 

17 

3o37 

3202 

3367 

353x 

3696 

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42 

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9.040342 

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0724 

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4i 

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4o25 

4x89 

4353 

4517 

4682 

4846 

4i 

19 

i485 

1675 

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2o55 

2245 

2435 

4o 

19 

5oio 

5174 

5337 

55oi 

5665 

5829 

4o 

20 

2625 

28x5 

3oo4 

3194 

3383 

3572 

39 

20 

5992 

6i56 

63i9 

6483 

6646 

68x0 

39 

21 

3762  3951 

4i4o 

4329 

45x8 

4707 

38 

21 

6973 

7i36 

7299 

7462 

7625 

7788 

38 

22 

489515084 
6026  6214 

5273 

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37 

22 

7951 

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23 

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23 

8927 

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24 

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7529 

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35 

24 

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35 

25 

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884o 

9027 

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34 

25 

9. X10873 

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34 

26 

9400  9587 

9774 

9960 

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33 

26 

1842 

2oo3 

2x65 

2326 

2487 

2648 

33 

27 

9.o5o5i9,07o6 

0892 

X078 

X264 

i45o 

32 

27 

2809 

2970 

3i3x 

3292 

3453 

36i3 

32 

28 

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2007 

2192 

2378 

2563 

3i 

28 

3774 

3935 

4095 

4256 

44x6 

4577 

3i 

29 

2749  2934 

3119 

33o4 

3489 

3674 

3o 

29 

4737 

4897 

5o57 

52x8 

537815538 

3o 

3o 

3859  4o44 

4228 

44x3 

4597 

4782 

29 

3o 

5698 

585b 

60x7 

6177 

6337 

6497 

29 

3i 

4966i5i5o 

5335 

55x9 

5703 

5887 

28 

3x 

C656 

68x6 

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7294 

7453 

28 

32 

6071 

6254 

6438 

6622 

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27 

32 

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7772 

793i 

8090 

8249 

8408 

27 

33 

7172 

7356 

7539 

7722 

7905 

8088 

26 

33 

8567 

8726 

8884 

9043 

9202 

9360 

26 

34 

8271 

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8637 

8820 

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9x85 

25 

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9836 

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25 

35 

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24 

35 

9. 120469 

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1259 

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36 

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23 

36 

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23 

37 

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1732 

1914 

2095 

2276 

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37 

2362 

2520 

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54 

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54 

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5 

55 

9.080719  0892 

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4 

55 

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3 

57 

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57 

9. i4o85o 

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2 

58 

3832 

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4348 

4520 

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58 

1754 

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5q 

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5208 

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5723 

0 

59 

2655  2806 

2956 

3 1 06 

3256  34o5 

0 

60" 

50" 

40" 

30" 

20" 

10" 

60"     50" 

40" 

30" 

20"   10" 

i 

Co-sine  of  83  Desjrees. 

Co-sine  of  82  Degrees. 

P.I 

,„,j  1"  2"  3"  4"  5"  6"  7"  8"  9" 
1  18  37  55  74  92  111  129  148  166 

p  p  J  1"  2"  3"  4"  5"  6"  7"  8"  9" 
i.rart-j  jg  ^g  ^g  g^  g^  gg  jjg  128  144 

Logarithmic 

Tangents. 

31 

Tangent  of  6  Deo-rees. 

.5 

Tangent  of  7  Degrees. 

0" 

10" 

SO" 

30" 

40" 

50" 

0" 

10" 

20" 

30" 

40" 

50" 

o 

9,021620 

1823 

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2227 

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2602 

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0 

g. 089144 

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1228 

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g. 140409 

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53 

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54 

2833 

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3i86 

3362 

3539 

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54 

2269 

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2733 

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5 

55 

3891 

4067 

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4419 

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55 

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4 

56 

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3 

57 

6000 

6175 

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6525 

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2 

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6272 

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59 

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0 

60" 

SO- 

40" 

30"   20" 

10" 

60" 

50"  1  40" 

30" 

20" 

10" 

d 

Co-tangent  of  83  Degrees. 

Co-tangent  of  82  Degrees. 

P  T.,rf  i  1"  2"  3"  4"  5"  6"  7"  8"  9" 
r.  1  art  ^  ^g  3^  ^g  ^5  g^  ^^2  131  150  168 

P  P„,^  i  1"  2"  3"  4"  5"  6"  7"  8"  9" 
l.Fart^  jg  33  49  65  81  98  114  130  146 

32 

Logarithmic  Sines. 

Sine  of  8  Degrees. 

d 

Sine  of  9  Degrees. 

0" 

10" 

•20" 

30"  i  40"  I  50" 

0"             10" 

20" 

30"  1  40" 

50" 

o 

9.143555 

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9. 194332 

44654598 

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5200 

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5129 

5262 

5395 

5527 

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58 

2 

5349 

5498 

5648 

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57 

2 

5925 

6057 

6189 

6322 

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3 

6243 

6392 

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6690 

6839 

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3 

6719 

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7247 

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4 

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2488 

2612 

2737 

23 

37 

5578 

5717 

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5995 

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6273 

22 

37 

2861 

2985 

3109 

3234 

3358 

3482 

22 

38 

64ii 

655o 

6688 

6827 

6966 

7104 

21 

38 

36o6 

3730 

3854 

3978 

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4226 

21 

39 

7242 

7381 

7519 

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20 

39 

4349 

4473 

4597 

4721 

4845 

4968 

20 

4o 

8072 

8210 

8348 

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8624 

8762 

19 

40 

6092 

52i5 

5339 

5462 

5586 

5709 

19 

4i 

8900 

9o38 

9176 

93i3 

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9589 

18 

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5833 

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6080 

6203 

6326 

6449 

18 

42 

9726 

9864 

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.139 

.276 

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17 

42 

6573 

6696 

6819 

6942 

7065 

7188 

17 

43 

9.i8o55i 

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0963 

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1237 

16 

43 

731 1 

7434 

7557 

7680 

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7925 

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44 

1374 

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1 648 

1785 

1922 

2059 

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2196 

2333 

2469 

2606 

2743 

2879 

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45 

8784 

8906 

9029 

9i5i 

9274 

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46 

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3i52 

3289 

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46 

9518 

9641 

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47 

3834 

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4243 

4379 

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12 

47 

9.230252 

0374 

0496 

0618 

0740 

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48 

465i 

4787 

4923 

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5195 

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48 

0984 

1 106 

1228 

1349 

1471 

1593 

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49 

5466 

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5738 

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10 

49 

1715 

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2079 

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2323 

10 

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6280 

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6686 

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9 

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2444 

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7633 

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8 

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3172 

3293 

34i5 

3536 

3657 

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52 

7903 

8o38 

8173 

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7 

52 

3899 

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4i4i 

4262 

4383 

45o4 

7 

53 

8712 

8847 

8981 

9116 

9250 

9385 

6 

53 

4625 

4746 

4867 

4987 

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5229 

6 

54 

9519 

9654 

9788 

9923 

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.191 

5 

54 

5349 

5470 

5591 

5711 

5832 

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5 

55 

9. 190325 

o46o 

0594 

0728 

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4 

55 

6073 

6193 

63i3 

6434 

6554 

6674 

4 

56 

I  i3o 

1264 

1398 

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1665^1799 

3 

56 

6795 

6915 

7o35 

7i55 

7275 

7395 

3 

57 

1933 

2066 

2200 

2334 

2467 

2601 

2 

57 

75i5 

76357755 

7875 

7995 

8ii5 

2 

58 

2734 

2868 

3ooi 

3i34 

3268 

3401 

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58 

8235 

8355 

8474 

8594 

8714 

8834 

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5q 

3534 

3667 

38oo 

3933 

4o66 

4199 

0 

59 

8953 

9073 

9192 

9312 

943i 

9551 

0 

60" 

50" 

40" 

30" 

20" 

10" 

60" 

50" 

40" 

30" 

20" 

10" 

d 

Co-sine  of  81  Degrees. 

Co-sine  of  80  Degrees. 

P.I 

,  J  1"  2"  3"  4"  5"  6"  7"  8"  9" 
*"|14  28  43  56  70  85  99  113  127 

„  „  Ml"  2"  3"  4"  5"  6"  7"  8"  9" 
^•^^"(13  25  38  50  63  75  88  101  113 

Lo&AEITHMIC 

Tangents 

33 

Tangent  of  8  Degrees. 

d 

Tangent  of  9  Degrees. 

■ 

0" 

10" 

20" 

30" 

40" 

50" 

0' 

10' 

20" 

30" 

40" 

50" 

c 

9. 147802 

795f 

8  left 

8261 

84x3 

8566 

59 

c 

9.X99713 

9849 

9985 

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59 

I 

8718 

8871 

9023 

9175 

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9480 

58 

I 

9.200529 

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58 

r 

9632 

9784 

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57 

2 

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2023 

57 

3 

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56 

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2565 

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4 

1454 

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1757 

1909 

2060 

221 X 

55 

4 

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5 

2363 

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54 

5 

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6 

3269 

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3722 

3873 

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6 

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7 

4174 

4325 

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7 

5400 

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8 

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18 

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20 

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6174 

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21 

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21 

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6962 

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24 

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2478 

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27 

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28 

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2912 

3o56 

3201 

3345 

3489 

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28 

2052 

2182 

23l  X 

2441 

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2700 

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29 

3634 

3778 

3922 

4067 

421X 

4355 

3o 

29 

283o 

2959 

3089 

32x8 

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3477 

3o 

3o 

4499 

4643 

4787 

4931 

5075 

52x8 

29 

3o 

3607 

3736 

3865 

3994 

4x24 

4253 

29 

3i 

5362 

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565o 

5793 

5937 

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28 

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464o 

4769 

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32 

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33 

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47 

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48 

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9. 190629 

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8 

52 

3l24 

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7 

52 

9.24037X 

0495 

0620 

0745 

0869 

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7 

53 

3953 

4091 

4229 

4367 

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6 

53 

1118 

1243 

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1492 

i6i6 

1 74 1 

6 

54 

4780 

4918 

5o56 

5193 

533x 

5468 

5 

54 

i865 

1989 

21  x4 

2238 

2362 

2486 

5 

55 

56o6 

5743 

588i 

6018 

6x56 

6293 

4 

55 

2610 

2734 

2858 

2982 

3io6 

323o 

4 

56 

643o 

6567 

6705 

6842 

6979 

7x16 

3 

56 

3354 

3478 

36o2 

3726 

385o 

3974 

3 

57 

7253 

7390 

7527 

7664 

780X 

7938 

2 

57 

4097 

4221 

4345 

4468 

4592 

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2 

58 

8074 

8211 

8348 

8484 

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8758 

I 

58 

4839 

4962 

5o86 

5209 

5333 

5456 

I 

59 

8894 

9o3i 

9167 

93o4 

9440 

9576 
10" 

0 

59 

5579 

5703 

5826 

5949 

6072 

6x96 

0 

60" 

50" 

40" 

30"  1  20"  1 

60" 

50" 

40" 

30" 

20" 

10" 

Co-tangent  of  81  Degrees. 

Co-tangent  of  80  Degrees. 

P  Pnrf  5  1"  2"  3"  4"  5"  6"  7"  8"  9" 
r.rart  ^  ^^  gg  43  58  72  86  101  115  130 

p  v.rt  i  1"  2"  3"  4"  5"  6"  7"  8"  9"  1 
^•^^"  M3  26  39  52  65  78  91  103  116 

c 


34 


LOGAKITHMIC    SiNES, 


d 

Sine  of  10  Degrees. 

Sine  of  11  Degrees. 

0" 

10" 

20" 

30" 

40" 

50" 

0" 

10" 

20" 

30" 

40"  1  50" 

O 

0,230670 

9790 

9909 

.'.'28 

.i48 

.267 

59 

0 

9.280599 

0707 

o8i5 

0924 

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59 

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9.24o386 

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0744 

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0982 

58 

I 

1248 

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i465 

1573 

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1789 

58 

2 

1220 

1339 

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1576 

1695 

57 

2 

1897 

2oo5 

21l3 

2220 

2328 

2436 

57 

3 

i8i4 

1933 

2o52 

2170 

2289 

2408 

56 

3 

2544 

2652 

2760 

2867 

2975 

3o83 

56 

4 

2526 

2645 

2763 

2882 

3ooi 

3119 

55 

4 

3190 

3298 

3406 

35i3 

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3728 

55 

5 

3237 

3356 

3474 

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54 

5 

3836 

3943 

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4i58 

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4373 

54 

6 

3947 

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4i84 

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4420 

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53 

6 

4480 

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4802 

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5oi7 

53 

7 

4656 

4774 

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52 

7 

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523i 

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5445 

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9 

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9 

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10 

7048 

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1 1 

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58 

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0 

59 

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7582 

7681 

7780 

0 

60"     50" 

40" 

30" 

20" 

10" 

s 

60" 

50" 

40" 

30" 

20" 

10" 

Co-sine  of  79  Dejrrees. 

Co-sine  of  78  Degrees. 

„   I  1"  2"  S"  4"  5"  6"  7"  8"  9" 

(1"  2"  3"  4"  5"  6"  7"  8"  9" 

P. 

Part^jj  < 

I'd   34  45  57  68  80  91  102 

P. 

^"•""l  10  21  31  41  52  62  72  83 

93 

Logarithmic 

Tangents. 

35 

Tanoent  of  10  Degrees. 

s 

Tangent  of  11  Degrees. 

0" 

10" 

20" 

30" 

1  40" 

50" 

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10" 

20" 

30"   40" 

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53 

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53 

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54 

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54 

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5 

55 

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55 

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4 

56 

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3 

56 

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3 

57 

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2 

57 

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2 

58 

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7527 

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58 

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6438 

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59 

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59 

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7267 

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0 

60" 

50" 

40" 

30" 

20" 

10" 

d 

60" 

50" 

40"   30" 

20" 

in" 

Co-tangent  of  79  Degrees. 

Co-tangent  of  78  Degrees. 

P  P„f  i  1"  2"  3"  4"  5"  6"  7"  8"  9" 
1 . 1  art  "I  j2  23  gg  ^^  gg  ^Q  g2  94  106 

„  p  A  1"   2"    3"  4"  5"  6"  7"  8"  9" 
P.Partjj^  33  33  43  54  65  75  86  97 

36 

LOGAEITHMIC  SiNES. 

Sine  of  12  Degrees. 

Sine  of  13  Degrees. 

0" 

10" 

20" 

30" 

40" 

50" 

0"    1  10" 

20"  1  30" 

40" 

50" 

o 

9.317879 

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i5o4 

1591 

1678 

1765 

23 

37 

9307 

9401 

9495 

9589 

9683 

9777 

22 

37 

i852 

1939 

2026 

2Il3 

2200 

2287 

22 

38 

9871 

9964 

..58 

.  l52 

.246 

.340 

21 

38 

2373 

2460 

2547 

2634 

2721 

2807 

21 

39 

9.340434 

0528 

0621 

0715 

0809 

0903 

20 

39 

2894 

2981 

3067 

3i54 

324l 

3327 

20 

4o 

9.340996 

1090 

ii84 

1277 

1371 

i464 

19 

4o 

9-373414 

35oo 

3587 

3674 

3760 

3847 

19 

4i 

i558 

i652 

1745 

1839 

1932 

2026 

18 

4i 

3933 

4020 

4io6 

4192 

4279 

4365 

18 

42 

21 19 

2212 

23o6 

2399 

2493 

2586 

17 

42 

4452 

4538 

4624 

4711 

4797 

4883 

■7 

43 

2679 

2772 

2866 

2959 

3o52 

3i45 

16 

43 

4970 

5o56 

5i42 

5228 

53i4 

5401 

16 

44 

3239 

3332 

3425 

35i8 

36ii 

3704 

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44 

5487 

5573 

5659 

5745 

583i 

5917 

i5 

45 

3797 

3890 

3983 

4076 

4169 

4262 

i4 

45 

6oo3 

6089 

6175 

6261 

6347 

6433 

i4 

46 

4355 

4448 

4541 

4634 

4727 

4820 

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46 

65i9 

66o5 

6691 

6777 

6863 

6949 

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47 

4912 

5oo5 

5098 

5191 

5283 

5376 

12 

47 

7035 

7120 

7206 

7292 

7378 

7464 

12 

48 

5469 

556i 

5654 

5747 

5839 

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48 

7549 

7635 

7721 

7806 

7892 

7978 

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49 

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6210 

63o2 

6395 

6487 

10 

49 

8o63 

8149 

8235 

8320 

84o6 

8491 

10 

5o 

9.346579 

6672 

6764 

6857 

6949 

7041 

9 

5o 

9.378577 

8662 

8748 

8833 

8919 

9004 

9 

5i 

7134 

7226 

7318 

74io 

75o3 

7595 

8 

5i 

9089 

9175 

9260 

9346 

943 1 

9516 

8 

52 

7687 

7779 

7871 

7963 

8o56 

8i48 

7 

52 

9601 

9687 

9772 

9857 

9942 

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7 

53 

8240 

8332 

8424 

85i6 

8608 

8700 

6 

53 

9.38oii3 

0198 

0283 

o368 

0454 

0539 

6 

54 

8792 

8884 

8976 

9067 

9159 

9251 

5 

54 

0624 

0709 

0794 

0879 

0964 

1049 

5 

55 

9343 

9435 

9526 

9618 

9710 

9802 

4 

55 

ii34 

1219 

i3o4 

1389 

1474 

i559 

4 

56 

9893 

9985 

••77 

.168 

.260 

.352 

3 

56 

1643 

1728 

i8i3 

1898 

1983 

2068 

3 

57 

9.350443 

o535 

0626 

0718 

0809 

0901 

0 

57 

2l52 

2237 

2322 

2406 

2491 

2576 

2 

58 

0992 

io84 

1175 

1266 

i358 

1449 

I 

58 

2661 

2745 

283o 

2914 

2999 

3o84 

I 

59 

1 540 

i632 

1723 

i8i4 

1906 

■997 

0 

59 

3i68 

3253 

3337 

3422 

35o6 

3591 

0 

1 

60" 

50" 

40" 

.30" 

20" 

10" 

.5 

60" 

50" 

40" 

30" 

20"   10" 

Co-sine  of  Y7  Degrees. 

Co-sine  of  76  Degrees. 

P. 

p„  .  j  1"  2"  3"  4"  5"  6"  7"  8" 
** "  1  9  19  28  38  47  57  66  76  ^ 

i5 

P  p«rJl"  2"  3"  4"  5"  6"  7"  8"  9" 
i.ran^g  18  26  35  44  .^3  61  ~0  79 

Logarithmic 

Tangents. 

37 

Tangent  of  12  Degrees. 

d 

Tangent  of  13  Degrees. 

5g 

0"    1  10"  1  20" 

30" 

40"  1  50" 

0" 

10" 

20" 

30" 
3652 

40"   50" 

o 

9.327475 

7578 

7682 

7785 

7888 

7992 

59 

0 

9.363364 

3460 

3556 

374813844 

I 

8095 

8199 

83o2 

84o5 

85o9 

86i2 

58 

I 

3940 

4o36 

4l32 

4228 

4324 

4420 

58 

2 

8715 

8819 

8922 

9025 

9128 

923i 

57 

2 

45i5 

4611 

4707 

48o3 

4899 

4994 

57 

3 

9334 

9438 

9541 

9644 

9747 

985o 

56 

3 

5090 

5i86 

5282 

5377 

5473 

5568 

56 

4 

9953 

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.159 

.262 

.365 

.468 

55 

4 

5664 

5760 

5855 

5951 

6o46 

6142 

55 

5 

9.330570 

0673 

0776 

0879 

0982 

1084 

54 

5 

6237 

6333 

6428 

6524 

6619 

6715 

54 

6 

I187 

1290 

1393 

1495 

1598 

1701 

53 

6 

6810 

6905 

7001 

7096 

7191 

7287 

53 

7 

i8o3 

1906 

2008 

21 1 1 

22l3 

23i6 

52 

7 

7382 

7477 

7572 

7668 

7763 

7858 

52 

8 

2418 

2521 

2623 

2726 

2828 

2930 

5i 

8 

7953 

8048 

8143 

8239 

8334 

8429 

5i 

9 

3o33 

3i35 

3237 

3340 

3442 

3544 

5o 

9 

8524 

8619 

8714 

8809 

8904 

8999 

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10 

9,333646 

3748 

385i 

3953 

4o55 

4i57 

49 

10 

9.369094 

9189 

9284 

9378 

9473 

9568 

49 

II 

4259 

436i 

4463 

4565 

4667 

4769 

48 

II 

9663 

9758 

9853 

9947 

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.137 

48 

12 

4871 

4973 

5075 

5177 

5279 

538o 

47 

12 

9.370232 

o326 

0421 

o5i6 

0610 

0705 

47 

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5482 

5584 

5686 

5788 

5889 

5991 

46 

i3 

0799 

0894 

0989 

io83 

1178 

1272 

46 

i4 

6093 

6194 

6296 

6398 

6499 

6601 

45 

i4 

i367 

i46i 

i556 

i65o 

1744 

1839 

45 

i5 

6702 

6804 

6905 

7007 

7108 

7210 

44 

i5 

1933 

2028 

2122 

2216 

23l  I 

24o5 

44 

i6 

7311 

74i3 

75i4 

7615 

7717 

7818 

43 

16 

2499 

2593 

2688 

2782 

2876 

2970 

43 

I? 

7919 

8021 

8122 

8223 

8324 

8426 

42 

17 

3o64 

3i59 

3253 

3347 

3441 

3535 

42 

i8 

8527 

8628 

8729 

883o 

8931 

9032 

4i 

18 

3629 

3723 

3817 

3911 

4oo5 

4099 

4i 

'9 

9133 

9234 

9335 

9436 

9537 

9638 

4o 

19 

4193 

4287 

438i 

4475 

4569 

4662 

4o 

20 

9.339739 

9840 

9941 

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.143 

.243 

39 

20 

9.374756 

485o 

4944 

5o38 

5i3i 

5225 

39 

21 

9.340344 

0445 

o546 

o646 

0747 

o848 

38 

21 

5319 

54i3 

55o6 

56oo 

5694 

5787 

38 

22 

0948 

1049 

ii5o 

I25o 

i35i 

i45i 

37 

22 

588i 

5975 

6068 

6162 

6255 

6349 

37 

23 

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i652 

1753 

1 853 

1954 

2o54 

36 

23 

6442 

6536 

6629 

6723 

68166910 

36 

24 

2i55 

2255 

2355 

2456 

2556 

2656 

35 

24 

7003 

7096 

7190 

7283 

7376,7470 

35 

35 

2757 

2857 

2957 

3o57 

3i58 

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34 

25 

7563 

7656 

7750 

7843 

793618029 

34 

26 

3358 

3458 

3558 

3658 

3758 

3858 

33 

26 

8122 

8216 

8309 

8402 

8495 

8588 

33 

27 

3958  4o58 

4i58 

4258 

4358 

4458 

32 

27 

8681 

8774 

8867 

8960 

9053 

9146 

32 

28 

4558 

4658 

4758 

4858 

4957 

5o57 

3i 

28 

9239 

9332 

9425 

9518 

9611 

9704 

3i 

29 

5i57 

5257 

5357 

5456 

5556 

5656 

3o 

29 

9797 

9890 

9983 

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.168 

.261 

3o 

3o 

9.345755 

5855 

5954 

6o54 

6i54 

6253 

29 

3o 

9.380354 

o446 

0539 

o632 

0725 

0817 

29 

3i 

6353 

6452 

6552 

665i 

6751 

685o 

28 

3i 

0910 

ioo3 

1095 

1188 

1280 

1373 

28 

32 

6949 

7049 

7148 

7248 

7347 

7446 

27 

32 

i466 

i558 

i65i 

1743 

i836 

1928 

27 

33 

7545 

7645 

7744 

7843 

7942 

8042 

26 

33 

2020 

21 1 3 

22o5 

2298 

2390 

2482 

26 

34 

8i4i 

8240 

8339 

8438 

8537 

8636 

25 

34 

2575 

2667 

2759 

2852 

2944 

3o36 

25 

35 

8735 

8834 

8933 

9032 

9i3i 

923o 

24 

35 

3129 

3221 

33i3 

34o5 

3497 

3589 

24 

36 

9329 

9428 

9527 

9626 

9724 

9823 

23 

36 

,3682 

3774 

3866 

3958 

4o5o 

4i42 

23 

37 

9922 

.  .21 

.  120 

.218 

.317 

.416 

22 

37 

4234 

4326 

44i8 

45io 

4602 

4694 

22 

38 

9.35o5i4 

06 1 3 

0712 

0810 

0909 

1007 

21 

38 

4786 

4878 

4970 

5062 

5i53 

5245 

21 

39 

1106 

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i3o3 

i4oi 

i5oo 

1598 

20 

39 

5337 

5429 

5521 

56x2 

5704 

5796 

20 

4o 

9.351697 

1795 

1894 

1992 

2090 

2189 

19 

4o 

9.385888 

5979 

6071 

6i63 

6254|6346 

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4i 

2287 

2385 

2483 

2582 

2680 

2778 

18 

4i 

6438 

6529 

6621 

6712 

6804:6895 

18 

42 

2876 

2974 

3073 

3I7I 

3269 

3367 

17 

42 

6987 

7078 

7170 

7261 

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17 

43 

3465 

3563 

366i 

3759 

3857 

3955 

16 

43 

7536 

7627 

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7901 

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16 

44 

4o53 

4i5i 

4249 

4347 

4445 

4542 

i5 

44 

8084 

8175 

8266 

8358 

8449 

854o 

i5 

45 

464o 

4738 

4836 

4934 

5o3i 

5i29 

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45 

863i 

8722 

88i4 

8905 

8996 

9087 

i4 

46 

5227 

5324 

5422 

5520 

56i7 

5715 

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46 

9178 

9269 

9360 

945 1 

9542 

9633 

i3 

47 

58i3 

5910 

6008 

6io5 

6203 

63oo 

12 

47 

9724 

9815 

9906 

9997 

..88 

.179 

12 

48 

6398 

6495 

6593 

6690 

6787 

6885 

1 1 

48 

9.390270 

o36i 

0452 

o543 

o633 

0724 

II 

49 

6982 

7079 

7177 

7274 

7371 

7469 

10 

49 

08 1 5 

0906 

0997 

1087 

1 1 78 

1269 

10 

JO 

9.357566 

7663 

7760 

7857 

7954 

8o52 

9 

5o 

9.391360 

i45o 

i54i 

i632 

1722 

i8i3 

9 

5i 

8149 

8246 

8343 

844o 

8537 

8634 

8 

5i 

1903 

1994 

2o85 

2175 

2266 

2356 

8 

52 

8731 

8828 

8925 

9022 

9119 

9216 

7 

52 

2447 

2537 

2628 

2718 

2808 

2899 

7 

53 

93i3 

9409 

9506 

9603 

9700 

9797 

6 

53 

2989 

3o8o 

3170 

3260 

335i 

3441 

6 

54 

9893 

9990 

..87 

.184 

.280 

.377 

5 

54 

353i 

3622 

3712 

38o2 

3892 

3983 

5 

55 

9.360474 

0570 

0667 

0763 

0860 

0957 

4 

55 

4073 

4i63 

4253 

4343 

4433 

4523 

4 

56 

io53 

ii5o 

1246 

i343 

1439 

I  535 

3 

56 

46i4 

4704 

4794 

4884 

4974:5o64 

0 

57 

i632 

1728 

1825 

1921 

2017 

21 14 

2 

57 

5i54 

5244 

5334 

5424 

55i4 

56o4 

2 

58 

2210 

23o6 

24o3 

2499 

2595 

2691 

I 

58 

5694 

5783 

5873 

5963 

6o53 

6143 

I 

59 

2787 

2884 

2980 

3076 

3172 

3268 

0 

59 

6233 

6322 

64 1 2 

65o2 

6592 

6681 

0 

d 

60" 

50"  1  40" 

30"  1  20" 

10" 

d 

60"     50" 

40" 

30" 

20" 

10" 

Co-tangent  of  77  Degrees. 

Co-tangent  of  76  Degrees. 

„  p   (1"  3"  3"  4"  5"  6"  7"  8"  9" 
*^- '  '"■^  (  10  20  30  40  50  60  70  80  90 

„  „  ,  (  1"  3"  3"  4"  5"  6"  7"  8"  9" 
l-.Fart^g  19  28  37  46  56  65  74  83 

38 


Logarithmic   Sines, 


Sine  of  14  Degrees. 

Sine  of  15  Degrees. 

0" 

10" 

20" 

30" 

40" 

50" 

0" 

10" 

20' 

30" 

40" 

50" 

c 

) 9.383675 

)  3760  3844  392!: 

*4oi3 

4097 

59 

0 

9.41299b 

3075 

3x53  3232 

33x0 

33S9 

59 

I 

4182 

426C 

)435c 

)443f 

)  4519 

46o3 

58 

I 

3467 

3546 

3624 

3703 

3781 

386o 

58 

2 

4687 

4772 

485e 

494c 

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5io8 

57 

2 

3938 

4oi6 

4095 

4173 

4252 

433o 

57 

3 

5192 

5277 

536i 

544s 

5529 

56i3 

56 

3 

4408 

4486 

4565 

4643 

4721 

4800 

56 

h 

5697 

5781 

5865 

5949 

6o33 

6117 

55 

4 

4878 

4956 

5o34 

5i  12 

5190 

5269 

55 

5 

6201 

6285 

6369 

6452 

6536 

6620 

54 

5 

5347 

5425 

55o3 

558i 

5659 

5737 

54 

6 

6704 

6788 

6872 

6955 

7039 

7123 

53 

6 

58x5 

5893 

5971 

6049 

6127 

6205 

53 

7 

7207 

7290 

7374 

7458 

7541 

7625 

52 

7 

6283 

636i 

6439 

65i7 

6595 

6673 

52 

8 

7709 

7792 

7876 

7959 

8043 

8127 

5i 

8 

6751 

6828 

6906 

6984 

7062 

7140 

5i 

9 

8210 

8294 

8377 

846i 

8544 

8627 

5o 

9 

7217 

7295 

7373 

745i 

7528 

7606 

5o 

10 

9.388711 

8794 

8878 

8961 

9044 

9128 

49 

10 

9.417684 

7761 

7839 

7917 

7994 

8072 

49 

II 

9211 

9294 

9378 

9461 

9544 

9627 

48 

II 

8i5o 

8227 

83o5 

8382 

846o 

8537 

48 

12 

9711 

9794 

9877 

9960 

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.  126 

47 

12 

86i5 

8692 

8770 

8847 

8925 

9002 

47 

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9.390210 

0293 

0376 

0459 

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0625  46 

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9079 

9157 

9234 

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9389 

9466 

46 

i4 

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io4o 

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45 

14 

9544 

9621 

9698 

9776 

9853 

9930 

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i5 

1206 

1289 

1371 

1454 

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1620 

44 

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9. 420007 

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0162 

0239 

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1703 

1786 

1868 

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2117 

43 

16 

0470 

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0625 

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43 

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2199 

2282 

2365 

2447 

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2613 

42 

17 

0933 

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1087 

XI 64 

I24l 

x3i8 

42 

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2695 

2778 

2860 

2943 

3o25 

3io8 

4i 

18 

1395 

1472 

1549 

1626 

X703 

1780 

4i 

19 

3191 

3273 

3356 

3438 

3520 

36o3 

4o 

^9 

1857 

1933 

20x0 

2087 

2164 

224l 

4o 

20 

9.393685 

3768 

385o 

3932 

4oi5 

4097 

39 

20 

9.  4223x8 

2394 

2471 

2548 

2625 

2701 

39 

21 

4179 

4262 

4344 

4426 

45o8 

4591 

38 

21 

2778 

2855 

2931 

3oo8 

3o85 

3i6i 

38 

22 

4673 

4755 

4837 

4919 

5002 

5o84 

37 

22 

3238 

33i5 

3391 

3468 

3544 

362X 

37 

23 

5i66 

5248 

533o 

54i2 

5494 

5576 

36 

23 

3697 

3774 

385o 

3927 

4oo3 

4o8o 

36 

24 

5658 

5740 

5822 

5904 

5986 

6068 

35 

24 

4i56 

4233 

4309 

4386 

4462 

4538 

35 

25 

6i5o 

6232 

63i4 

6395 

6477 

6559 

34 

25 

46x5 

4691 

4767 

4844 

4920 

4996 

34 

26 

664i 

6723 

68o5 

6886 

6968 

7o5o 

33 

26 

5073 

5i49 

5225 

53oi 

5378 

5454 

83 

27 

7i32 

7213 

7295 

7377 

7458 

7540 

32 

27 

553o 

56o6 

5682 

5758 

5835 

59x1 

32 

28 

7621 

7703 

7785 

7866 

7948 

8029 

3i 

28 

5987 

6o63 

6x39 

62x5 

629X 

6867 

3x 

29 

8111 

8192 

8274 

8355 

8437 

85x8 

3o 

29 

6443 

65i9 

6595 

667X 

6747 

6823 

3o 

3o 

9.398600 

8681 

8762 

8844 

8925 

9007 

29 

3o 

9. 426899 

6975 

7o5i 

7127 

7202 

7278 

29 

3i 

9088 

9169 

9250 

9332 

94i3 

9494 

28 

3i 

7354 

743o 

75o6 

7582 

7657 

7733 

28 

32 

9575 

9657 

9738 

9819 

9900 

9981 

27 

32 

7809 

7885 

7960 

8o36 

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8187 

27 

33 

9.400062 

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0225 

o3o6 

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26 

33 

8263 

8339 

84i4 

8490 

8566 

864i 

26 

34 

0549 

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07II 

0792 

0873 

0954 

25 

34 

8717 

8792 

8868 

8944 

9019 

9095 

25 

35 

io35 

1116 

II97 

1277 

i358 

1439 

24 

35 

9x70 

9246 

9321 

9397 

9472 

9547 

24 

36 

l520 

1 60 1 

1682 

1762 

1843 

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57 

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2 

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58 

2052 

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2210 

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58 

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9530 

9603 

9677 

9750 

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59 

2524 

2603 

2682 

2760 

2839 

2918 

0 

59 

9897 

9971 

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.265i  0 

60" 

50" 

40" 

30"  1  SO" 

10" 

60'     50"  1  40"  1  SO" 

20"   10" 

g 

Co-sine  of  75  Degrees. 

Co-sine  of  74  Degrees. 

i 

P  P.rf  i  1"  2"  3"  4"  5"  6"  7"  8"  9"~ 
r.rart-jg  ^g  ^^  gg  ^^  ^^  ^^  g^  ^^ 

P  P«rf  i  1"  2'  3"  4"  5"  6"  7"  8"  9"  1 
r.rart^g  15  23  30  38  46  53  61  68  f 

LoGAEITIIMIC  ' 

Iangents. 

39 

Tangent  of  14  Degrees. 

i 

Tangent  of  15  Degrees. 

0" 

10" 

20" 

30" 

40"   50" 

0" 

10" 

20"   30"  1  40" 

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0 

9.396771 

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9.428052 

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58 

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59 

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0 

59 

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0 

60" 

50" 

1  40" 

30" 

20" 

10" 

60" 

50" 

40" 

30" 

1  SO- 

W" 

ii 

Co-tangent  of  75  Degrees. 

Co-tangent  of  74  Degrees. 

P. 

p,  .  j  1"  3"  3"  4"  5"  6"  7"  8"  9" 
"^^  (9  17  26  35  43  52  61  69  78 

p  „  J  1"  2"  3"  4"  5"  6"  7"  8"  9" 
P.  Part  j  g  jg  25  33  41  49  57  65  74 

40 

LOGA  KITH  MIC  SiNES. 

Sine  of  16  Degrees. 

Sine  of  17  Degrees. 

0" 

10" 

20" 

30" 

40" 

50" 

0" 

10" 

20" 

30" 

40" 

50" 

o 

9.44o338 

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0738 

0804 

0870 

23 

37 

63i6 

6387 

6457 

6528 

6598 

6669 

22 

37 

0937 

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1202 

1268 

22 

38 

6739 

6810 

6880 

6951 

7021 

7091 

21 

38 

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1467 

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1599 

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21 

39 

7162 

7232 

73o3 

7373 

7443 

75i4 

20 

39 

1731 

1798 

i864 

1930 

1996 

2062 

20 

4o 

9.457584 

7654 

7725 

7795 

7865 

7936 

19 

40 

9.482128 

2194 

2261 

2327 

2393 

2459 

19 

4i 

8006 

8076 

8i46 

8217 

8287 

8357 

18 

4i 

2525 

2591 

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2723 

2789 

2855 

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42 

8427 

8497 

8567 

8638 

8708 

8778 

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42 

2921 

2987 

3o53 

3119 

3i85 

325i 

17 

43 

8848 

8918 

8988 

9o58 

9128 

9198 

16 

43 

33i6 

3382 

3448 

35i4 

358o 

3646 

16 

44 

9268 

9338 

9408 

9478 

9548 

9618 

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44 

3712 

3778 

3843 

3909 

3975 

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45 

9688 

9758 

9828 

9898 

9968 

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i4 

45 

4107 

4172 

4238 

43o4 

4370 

4435 

i4 

46 

9.460108 

0178 

0248 

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45oi 

4567 

4632 

4698 

4764 

4829 

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0597 

0667 

0736 

0806 

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12 

47 

4895 

4961 

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12 

48 

0946 

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1224 

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48 

5289 

5354 

5420 

5485 

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49 

1 364 

1433 

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49 

5682 

5748 

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5879 

5944 

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9.461782 

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2060 

2129 

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9.486075 

6i4o 

6206 

6271 

6337 

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9 

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2199 

2268 

2338 

2407 

2477 

2546 

8 

5i 

6467 

6533 

6598 

6664 

6729 

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52 

2616 

2685 

2755 

2824 

2894 

2963 

7 

52 

6860 

6925 

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7o55 

7121 

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53 

3o32 

3t02 

3171 

324o 

33io 

3379 

6 

53 

725i 

7316 

7382 

7447 

75i2 

7577 

6 

54 

3448 

35i8 

3587 

3656 

3725 

3795 

5 

54 

7643 

7708 

7773 

7838 

7903 

7968 

5 

55 

3864 

3933 

4o02 

4072 

4i4i 

4210 

4 

55 

8o34 

8099 

8i64 

8229 

8294 

8359 

4 

56 

4279 

4348 

4417 

4486 

4556 

4625 

3 

56 

8424 

8489 

8554 

8619 

8684 

8749 

3 

57 

4694 

4763 

4832 

4901 

4970 

5o39 

2 

57 

88i4 

8879 

8944 

9009 

9074 

9139 

2 

58 

5io8 

5x77 

5246 

53i5 

5384 

5453 

I 

58 

9204 

9269 

9334 

9399 

9464 

9528 

I 

59 

5522 

55gi 

566o 

5729 

5798 

5866 

0 

59 

9593 

9658 

9723 

9788 

9853 

99x^8 

0 

60"   1  50"  1  40" 

30" 

20" 

10" 

c 

60"   1  50"  1  40" 

30" 

20" 

10" 

Co-sine  of  73  Degrees. 

Co-sine  of  72  Degrees. 

P. 

p  .  j  1"  2"  3"  4"  5"  6"  7"  8"  9" 
^^"  (  7  14  21  28  36  43  50  57  64 

P  p„.  i  1"  2"  3"  4"  5"  6"  7"  8"  9" 
j.rart-^^  13  20  27  33  40  47  53  60 

Logarithmic  Tangents. 

41 

Tangent  of  16  Degrees. 

S 

Tangent  of  17  Degrees. 

59 

0" 

10" 

20" 

30" 

40" 

f)0" 

0" 

10" 

20" 

30" 

40" 

50" 

0 

9.457496 

7576 

7655 

7735 

7814 

7894 

59 

0 

9.485339 

54i4 

5490 

5565 

564o 

57x5 

I 

7973 

8o52 

8i32 

8211 

8290 

8370 

58 

I 

5791 

5866 

5941 

60x6 

6092 

6x67 

58 

2 

8449 

8528 

8608 

8687 

8766 

8846 

57 

2 

6242 

63x7 

6392 

6467 

6543 

66x8 

57 

3 

8925 

9004 

9083 

9163 

9242 

9321 

56 

3 

6693 

6768 

6843 

69x8 

6gg3 

7068 

56 

4 

g4oo 

9479 

9558 

g638 

9717 

9796 

55 

4 

7143 

7218 

7293 

7368 

7443 

75x8 

55 

5 

9875 

9954 

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.  112 

.191 

.270 

54 

5 

7593 

7668 

7743 

7818 

7893 

7968 

54 

6 

0. 460349 

0428 

o5o7 

o586 

o665 

0744 

53 

6 

804318x18 

8ig3 

8268 

8343 

84x8 

53 

7 

7   ^        ' 

0823 

0902 

0981 

1060 

1 1 39 

1218 

52 

7 

849218567 

8642 

87x7 

8792 

8866 

52 

8 

1297 

1376 

1454 

i533 

1612 

1691 

5i 

8 

8941 

gox6 

gogi 

9166 

9240 

gSxS 

5x 

9 

1770 

1849 

1927 

2006 

2o85 

2164 

5o 

9 

gSgo 

9465 

g53g 

g6i4 

968g 

9763 

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10 

9.462242 

2321 

2400 

2478 

2557 

2636 

49 

10 

g.489838;99x3 

9987 

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.137 

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49 

II 

2715 

2793 

2872 

2950 

3029 

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48 

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9.490286:0360 

0435 

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12 

3i86 

3265 

3343 

3422 

35oi 

3579 

47 

12 

0733 

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47 

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3658 

3736 

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3893 

3972 

4o5o 

46 

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1180 

1255 

i32g 

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1478 

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46 

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4128 

4207 

4285 

4364 

4442 

4521 

45 

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1627 

1701 

1776 

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45 

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4599 

4677 

4756 

4834 

4912 

4ggi 

44 

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2073 

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2222 

2296 

2370 

2445 

44 

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5069 

5i47 

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53o4 

5382 

5460 

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25i9 

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2668 

2742 

28x6 

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5539 

56i7 

56g5 

5773 

585i 

5g3o 

42 

17 

2965 

3o3g 

3ii3 

3187 

3261 

3336 

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i8 

6008 

6086 

6i64 

6242 

6320 

6398 

4i 

18 

34io 

3484 

3558 

3632 

3706 

3780 

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6477 

6555 

6633 

671 1 

6789 

6867 

4o 

19 

3854 

3929 

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4077 

4i5x 

4225 

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20 

g. 466945 

7023 

7101 

7179 

7257 

7335 

39 

20 

9.494299 

4373 

4447 

4521 

4595 

4669 

39 

21 

74i3 

7491 

756g 

7647 

7724 

7802 

38 

21 

4743 

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4965 

5o3g 

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22 

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8192 

8269 

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22 

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23 

8347 

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858i 

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23 

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24 

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6294 

6368 

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35 

25 

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g5i3 

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25 

65x5 

658g 

6663 

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26 

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26 

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7xo5 

7x78 

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27 

9.47021 1 

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32 

27 

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7546 

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28 

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28 

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29 

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1218 

1295 

1373 

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29 

82828355 

8429 

85o2 

8575 

864g 

3o 

3o 

9.471605 

1682 

1759 

1837 

1914 

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29 

3o 

g. 498722  87g6 

8869 

8943 

9016 

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29 

3i 

2069 

2i46 

2223 

23oo 

2377 

2455 

28 

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9x63  9236 

9309 

g383 

g456 

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28 

32 

2532 

2609 

2686 

2763 

2840 

2918 

27 

32 

9603.9676 

9749 

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g8g6!9969 

27 

33 

2995 

3072 

3i49 

3226 

33o3 

338o 

26 

33 

9.500042 

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0262 

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o4o8 

26 

34 

3457 

3534 

36ii 

3688 

3765 

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25 

34 

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0628 

070X 

0774 

0847 

2  5 

35 

3919 

3996 

4073 

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4227 

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24 

35 

0920 

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1066 

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24 

36 

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21 

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6836 

6913 

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3764 

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42 

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7219 

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42 

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7601 

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7983 

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43 

4418 

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16 

44 

8059 

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44 

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4926 

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5072 

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45 

85i7 

8593 

8670 

8746 

8822 

8899 

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45 

5289 

5362 

5434 

5507 

5579 

5652 

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46 

8975 

goSi 

9127 

g2o3 

9280 

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46 

6724 

5796 

5869 

5941 

6oi4 

6086 

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47 

9432 

9508 

9584 

g66o 

9737 

9813 

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47 

6i5g 

623i 

63o3 

6376 

6448 

6520 

12 

48 

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gg65 

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.117 

.  193 

.269 

II 

48 

65g3 

6665 

6737 

68x0 

6882 

6954 

II 

49 

9.480345 

o42i 

0497 

0573 

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10 

49 

7027 

7099 

717X 

7243 

7316 

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10 

5o 

9.480801 

0877 

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1181 

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5o 

g. 507460 

17532 

7605 

7677 

7749 

7821 

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5i 

1257 

i333 

i4o8 

i484 

i56o 

i636 

8 

5i 

7893 

7965 

8o38 

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8182 

8254 

8 

52 

1712 

1788 

i863 

1939 

20l5 

2091 

7 

52 

8326 

83g8 

8470 

8542 

86x4 

8687 

7 

53 

2167 

2242 

23i8 

23g4 

2470 

2545 

6 

53 

8759 

883i 

8903 

8975 

9047 

giig 

6 

54 

2621 

2697 

2772 

2848 

2924 

2999 

5 

54 

9x91 

g263 

g335 

9407 

947919551 

5 

55 

3075 

3i5i 

3226 

33o2 

3377 

3453 

4 

55 

9622 

g6g4 

g766 

9838 

ggio 

9982 

4 

56 

3529 

36o4 

368o 

3755 

383i 

3906 

3 

56 

g.5ioo54 

0126 

oxg8 

0269 

o34i 

o4x3 

3 

5? 

3982 

4o57 

4i33 

4208 

4284 

4359 

2 

57 

o485o557 

o62g 

0700 

0772 

0844 

2 

58 

4435 

45io 

4585 

466i 

4736 

4812 

I 

58 

0916  0987 

1059 

xx3i 

I203 

1274 

I 

59 

4887 

4962 

5o38 

5ii3 

5x88  5264 

0 

59 

x346  x4i8 

i48g 

i56i  i633 

1704 

0 

60" 

50" 

40" 

1  30" 

20"  10" 

-  c 

1 

60"     50" 

40" 

30"   20" 

10" 

c 

Co-tangent  of  73  Degrees. 

Co-tangent  of  72  Degrees. 

P  Part  ^  1"  ^"  ^"  4"  5"  6"  7"  8"  9" 
*^-  ^  ^"^  ]  8  15  23  31  39  46  54  63  70 

„  „  A  I"   2"  3"  4"  5"  6"  7"  8"  9" 
P.  Part -j^  15  22  29  37  44  51  59  66 

42 


Logarithmic   Sines. 


Sine  of  18  Degrees. 

.5 

Sine  of  19  Degrees. 

0" 

10' 

20" 

30" 

40'  7  50" 

0" 

10" 

20" 

30' 

40" 

50" 

0 

9.4^9982 

..47 

.1  12 

.177 

.24x  .3o6 

59 

0 

9  5x2642 

2703 

2764 

2»25 

2886 

294b 

59 

I 

9.490371 

o436 

o5oo 

o565 

o63o  0695 

58 

I 

3009 

3070 

3i3i 

3192 

3253 

33x4 

58 

2 

0759 

0824 

0889 

0953 

1018x082 

57 

2 

33753436 

3497 

3558 

3619 

368o 

57 

3 

ii47 

1212 

1276 

i34i 

i4o5  1470 

56 

3 

374x 

38o2 

3863 

3924 

3985 

4o46 

56 

4 

i535 

1599 

1664 

X728 

1793  1857 

55 

4 

4107 

4x68 

4229 

4289 

435o 

44x1 

55  ' 

5 

1922 

1986 

205l 

2Xl5 

217912244 

54 

5 

4472 

4533 

4594 

4655 

4715 

4776 

54 

6 

23o8 

2373 

2437 

25o2 

2566  2630 

53 

6 

4837 

4898 

4959 

5019 

5o8o 

5i4x 

53 

7 

2695 

2759 

2823 

2888 

2952  3oi6 

52 

7 

5202 

5262 

5323 

5384  5445 

55o5 

52 

8 

3o8i 

3i45 

3209 

3273 

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5i 

8 

5566 

5627 

5687 

5748 

5809 

5869 

5i 

9 

3466 

353o 

3595 

3659 

3723 

3787 

5o 

9 

5930 

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6o5x 

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9-493851 

3915 

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49 

10 

9.516294 

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6475 

6536 

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II 

4236 

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4364 

4428 

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48 

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6657 

6717 

6778 

6838 

6899 

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12 

4621 

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6537 

6601 

6664 

6728 

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42 

17 

8829 

8890 

8950 

9010 

9070 

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6983 

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7x10 

7174 

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18 

9190 

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4i 

19 

7301 

7365 

7428 

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19 

955x 

961 X 

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20 

9.497682 

7746 

7810 

7873 

7937  8000 

39 

20 

9. 5x9911 

9971 

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39 

21 

8064 

8127 

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38 

21 

9. 520271 

o33i 

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38 

22 

8444 

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37 

22 

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37 

23 

8825 

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36 

23 

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25 

1707 

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2006 

34 

26 

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33 

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27 

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27 

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28 

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29 

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29 

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9.501476 

1539 

1602 

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1728 

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29 

3o 

9.  523495 

3555 

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29 

3i 

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1917 

1980 

2042 

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2168 

28 

3i 

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3971 

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32 

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32 

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2796 

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25 

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3485 

3548 

36x0 

3673 

24 

35 

5275 

5334 

5393 

5452 

55i2 

5571 

24 

36 

3735 

3798 

386o 

3923 

3985 

4o48 

23 

36 

563o 

5689 

5748 

5807 

5866 

5925 

23 

37 

4iio 

4173 

4235 

4298 

436o 

4423 

22 

37 

5984 

6044 

6xo3 

6x62 

6221 

6280 

22 

38 

4485 

454s 

4610 

4673 

4735 

4797 

21 

38 

6339 

6398 

6457 

65x6 

6575 

6634 

21 

39 

486o 

4922 

4985 

5o47 

5x09 

5172 

20 

39 

6693 

6752 

681X 

6870 

6928 

6987 

20 

4o 

9.5o5234 

5296 

5359 

5421 

5483  5545! 

19 

40 

9.  527046 

7io5 

7164 

72iz3 

7282 

7341 

19 

4i 

56o8 

5670 

5732 

5794 

5857 

59x9 

18 

4i 

7400 

7459 

7517 

7576 

7635 

7694 

x8 

42 

5981 

6043 

6x06 

6168 

623o 

6292 

17 

42 

7753 

781X 

7870 

7929 

7988 

8047 

17 

43 

6354 

64x6 

6478 

654x 

66o3 

6665 

x6 

43 

8io5 

8x64 

8223 

8282 

834o 

8399 

x6 

44 

6727 

6789 

685x 

6913 

6975 

7037 

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44 

8458 

85x6 

8575 

8634 

8692 

8751 

i5 

45 

7099 

7161 

7223 

7285 

7347 

7409 

i4 

45 

8810 

8868 

8927 

8986 

9044 

9io3 

x4 

46 

7471 

7533 

7595 

7657 

7719 

7781 

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46 

9161 

9220 

9279 

9337 

9396  9454 

x3 

47 

7843 

7905 

7967 

8028 

8090  8x52 

12 

47 

95i3 

957X 

9630 

9688 

9747  9805 

12 

48 

8214 

8276 

8338 

84oo 

846i  8523 

11 

48 

9864 

9922 

9981 

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II 

49 

8585 

8647 

8709 

8770 

88328894 

10 

49 

9.53o2i5 

0273 

o33i 

0390 

o448  o5o7 

10 

5o 

9.508956 

9017 

9079 

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9202,9264 

9 

5o 

9.53o565 

0623 

0682 

0740 

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9 

5i 

9326 

9387 

9449 

95ix 

9572  9634 

8 

5i 

0915 

0973 

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X090 

xi48 

1207 

8 

52 

9696 

9757 

9819 

9880 

9942 

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7 

52 

1265 

i323 

x38i 

x44o 

1498 

i556 

7 

53 

9.5ioo65 

0127 

0188 

025o 

o3xi 

0373 

6 

53 

i6i4 

1673 

1731 

1789 

x847 

X905 

6 

54 

0434 

0496 

0557 

06x9 

0680  0742 

5 

54 

1963 

2022 

2080 

21 38 

2196 

2254 

5 

55 

o8o3 

o865 

0926 

0987 

1049 

II 10 

4 

55 

23l2 

2370 

2428 

2487 

2545 

2603 

4 

56 

1172 

1233 

1294 

i356 

14x7 

1478 

3 

56 

2661 

27x9 

2777 

2835 

2893 

2951 

3 

57 

1 540 

1601 

X662 

1724 

1785 

1 846 

2 

57 

3009 

3067 

3x25 

3i83 

324i 

3299 

2 

58 

1907 

1969 

2o3o 

209X 

2l52 

22X4 

I 

58 

3357 

34i5 

3473 

353i 

3589 

3647 

I 

59 

2275 

2336 

2397 

2458 

2520 

258i 

0 

59 

3704 

3762 

3820  3878 

3936 

3994 

0 

CO" 

50" 

40"   30" 

20" 

10" 

60" 

50" 

40"  1  30" 

20" 

10" 

Co-sine  of  71  Degrees. 

Co-sine  of  70  Degrees. 

P.l 

y.  j  1"  2"  3"  4"  5"  6"  7"  8"  9"  j  p 
*"]  6  13  19  25  31  38  44  50  57  i  ' 

p  ,j  1"  2"  3"  4"  5"  6"  7"  8"  9" 
^^"(6  12  18  24  30  36  42  48  54 

Logarithmic 

Tangents. 

43 

Taiiijent  of  18  Degrees, 

S 

Tangent  of  19  Degrees. 

0" 

10" 

20" 

30" 

40"  1  50" 

0" 

10"   20" 

30" 

40"  1  50" 

0 

9.511776 

i848 

1919 

1991 

2o63 

2 1 34 

59 

0 

9.536972 

7040  7109 

7177 

7245 

73i4 

59 

I 

2206 

2277 

2349 

2420 

2492 

2  564 

58 

I 

7382 

745o 

7519 

7587 

7655 

7724 

58 

2 

2635 

2707 

2778 

285o 

2921 

2993 

57 

2 

7792 

7860 

7929 

7997 

8o65 

8i33 

57 

3 

3o64 

3i36 

3207 

3278 

335o 

3421 

56 

3 

8202 

8270 

8338 

84o6 

8475 

8543 

56 

4 

3493 

3564 

3636 

3707 

3778 

385o 

55 

4 

8611 

8679 

8747 

8816 

8884 

8952 

55 

5 

3921 

3992 

4o64 

4i35 

4206 

4278 

54 

5 

9020 

9088 

9i56 

9224 

9293 

9361 

54 

6 

4349 

4420 

4492 

4563 

4634 

4705 

53 

6 

9429 

9497 

9565 

9633 

9701 

9769 

53 

7 

4777 

4848 

4919 

4990 

5062 

5i33 

52 

7 

9837 

9905 

9973 

..4i 

.  109 

.177 

52 

8 

52o4 

5275 

5346 

5417 

5489 

556o 

5i 

8 

9.540245 

o3i3 

o38i 

0449 

o5i7 

o585 

5i 

y 

563i 

5702 

5773 

5844 

5915 

5986 

5o 

9 

o653 

0721 

0789 

0857 

0925 

0993 

5o 

lO 

9.516057 

6129 

6200 

6271 

6342 

64i3 

49 

10 

9.541061 

1128 

1 196 

1264 

i332 

i4oo 

49 

II 

6484 

6555 

6626 

6697 

6768 

6839 

48 

1 1 

i468 

i536 

i6o3 

1671 

1739 

1807 

48 

12 

6910 

6981 

7o52 

7123 

7193 

7264 

47 

12 

1875 

1943 

2010 

2078 

2i46 

2214 

47 

i3 

7335 

7406 

7477 

7548 

7619 

7690 

46 

i3 

2281 

2349 

2417 

2485 

2552 

2620 

46 

i4 

7761 

783i 

7902 

7973 

8044 

81 1 5 

45 

i4 

2688 

2755 

2823 

2891 

2958 

3026 

45 

i5 

8186 

8256 

8327 

8398 

8469 

8539 

44 

i5 

3094 

3i6i 

3229 

3297 

3364 

3432 

44 

i6 

8610 

8681 

8752 

8822 

8893 

8964 

43 

16 

3499 

3567 

3635 

3702 

3770 

3837 

43 

17 

9034 

9105 

9176 

9246 

9317 

9388 

42 

17 

3905 

3972 

4o4o 

4107 

4175  4242 

42 

i8 

9458 

9529 

9600 

9670 

9741 

9811 

4i 

18 

43io 

4377 

4445 

45i2 

4580:4647 

4i 

19 

9882 

9953 

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..94 

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4o 

19 

4715 

4782 

485o 

4917 

4985!5o52 

40 

20 

9.52o3o5 

0376 

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o5i7 

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o658 

39 

20 

9.545119 

5187 

5254 

5322 

5389:5456 

39 

21 

0728 

0799 

0869 

0939 

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1080 

38 

21 

5524 

5591 

5658 

5726 

579315860 

38 

22 

I  i5i 

1 22 1 

1292 

i362 

i432 

i5o3 

37 

22 

5928 

5995 

6062 

6129 

6197  6264 

37 

23 

1573 

1643 

1714 

1784 

i854 

1925 

36 

23 

633i 

6398 

6466 

6533 

6600:6667 

36 

24 

1995 

2o65 

2 1 36 

2206 

2276 

2346 

35 

24 

6735 

6802 

6869 

6936 

7oo3;707i 

35 

25 

2417 

2487 

2557 

2627 

2698 

2768 

34 

25 

7i38 

7205 

7272 

7339 

7406  7473 

34 

26 

2838 

2908 

2978 

3o48 

3119 

3189 

33 

26 

7540 

7608 

7675 

7742 

780917876 

33 

27 

3259 

3329 

3399 

3469 

3539 

3609 

32 

27 

7943 

8010 

8077 

8i44 

82ii'8278 

32 

28 

368o 

3750 

3820 

3890 

3960 

4o3o 

3i 

28 

8345 

84l2 

8479 

8546 

861 3  8680 

3i 

29 

4ioo 

4170 

4240 

43io 

438o 

445o 

3o 

29 

8747 

88i4 

8881 

8948 

9015 

9082 

3o 

3o 

9.524520 

4590 

4660 

4730 

4800 

4870 

29 

3o 

9.549149 

9216 

9283 

9349 

94169483 

29 

3i 

4940 

5009 

5o79 

5i49 

5219 

5289 

28 

3i 

gSSo 

9617 

9684 

975i 

9817  9884 

28 

32 

5359 

5429 

5499 

5568 

5638 

5708 

27 

32 

9951 

..18 

..85 

.l52 

.218 

.285 

27 

33 

5778 

5848 

5918 

5987 

6057 

6127 

26 

33 

g.55o352 

0419 

o485 

o552 

0619 

0686 

26 

34 

6197 

6266 

6336 

64o6 

6476 

6545 

25 

34 

0752 

0819 

0886 

0952 

1019 

1086 

25 

35 

66i5 

6685 

6754 

6824 

6894 

6963 

24 

35 

ii53 

1219 

1286 

i353 

1419 

i486 

24 

36 

7033 

7io3 

7172 

7242 

73i2 

7381 

23 

36 

i552 

1619 

1686 

1752 

i8i9;i885 

23 

37 

745 1 

7520 

7590 

7660 

7729 

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22 

37 

1952 

2019 

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2218 

2285 

22 

38 

7868 

7938 

8007 

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8216 

21 

38 

235i 

2418 

2484 

255i 

2617  2684 

21 

39 

8285 

8355 

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8494 

8563 

8633 

20 

39 

2750 

2817 

2883 

2950 

3oi6i3o83 

20 

4o 

9.528702 

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8910 

8980 

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19 

4o 

9.553149 

32i6 

3282 

3348 

34i5]348i 

19 

4i 

9119 

9188 

9257 

9327 

9396 

9465 

18 

4i 

3548 

36i4 

368o 

3747 

38i3 

388o 

18 

42 

9535 

9604 

9673 

9743 

9812 

9881 

17 

42 

3946 

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4079 

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421 1 

4278 

17 

43 

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16 

43 

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4609  4675 

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44 

9.53o366 

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44 

4741 

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4940 

5oo6  5073 

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45 

0781 

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0920 

0989 

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1 127 

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45 

5i39 

52o5 

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46 

1196 

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46 

5536 

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5668 

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47 

1611 

1680 

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1818 

1887 

1956 

12 

47 

5933 

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6i3i 

6197  6263 

12 

48 

2025 

2094 

2i63 

2232 

23oi 

2370 

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48 

5329 

6395 

646i 

6527 

6593  6659 

1 1 

49 

2439 

25o8 

2577 

2646 

2715 

2784 

10 

49 

6725 

6791 

6857 

6923 

6989  7o55 

10 

5o 

9.532853 

2921 

2990 

3o59 

3128 

3197 

9 

5o 

9.557121 

7187 

7253 

7319 

7385, 745i 

9 

5i 

3266 

3335 

34o4 

3472 

3541 

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8 

5i 

7517 

7583 

7649 

7715 

7781J7847 

8 

52 

3679 

3748 

38i6 

3885 

3954 

4023 

7 

52 

7913 

7978 

8o44 

8110 

8176  824a 

7 

53 

4092 

4i6o 

4229 

4298 

4367 

4435 

6 

53 

83o8 

8373 

8439 

85o5 

8571  8637 

6 

54 

45o4 

4573 

464i 

4710 

4779 

4847 

5 

54 

8703 

8768  8834 

8900 

8966  9o3i 

5 

55 

4916 

4985 

5o53 

5l22 

5I9I 

5259 

4 

55 

9097 

9163 

9229 

9294 

9360  9426 

4 

56 

5328 

5396 

5465 

5534 

56o2 

5671 

3 

56 

9491 

9557 

9623 

9688 

9754,9820 

3 

57 

5739 

58o8 

5876 

5945 

6oi3 

6082 

2 

57 

9885 

9951 

..17 

..82 

.i48 

.2l4 

2 

58 

6i5o 

6219 

6287 

6356 

6424 

6493 

I 

58 

9.560279 

o345 

o4io 

0476 

o542 

0607 

I 

59 

656i 

663o 

6698 

6767 

6835 

6903 

0 

59 

0673 

0738 

o8o4 

0869 

0935 

1000 

0 

60" 

50" 

40" 

30" 

20" 

10" 

S 

r. 

60" 

50" 

40" 

30" 

20"  1  10" 

Co-tangent  of  71  Degrees. 

Co-tangent  of  70  Degrees. 

P  Pore  i  1"  2"  3"  4"  5"  6"  7"  8"  9" 
r.iart^^  14  21  28  35  42  49  5G  63 

p  ,  (  1"  2"  3"  4"  5"  6"  7"  8"  9" 
'  ''"■^  1  7  13  20  27  33  40  47  54  60 

M 


Logarithmic   Sines. 


1 

a   1 

Sine  of  20  Degrees. 

d 

Sine  of  21  Degrees. 

\ 

iS 

0" 

10" 

20" 

30" 

40" 

50" 

0" 

10" 

20" 

30"   40"  1 

50"  1 

o 

9.534052 
4399 

4i  10 

4167 

4225 

d283. 

i34i 

59 

0 

9.5543294384 

4439 

4494  >■ 

i549  46o3 

59 

I 

4456 

45i4 

4572 

463o 

i687 

58 

I 

4658 

4713 

4768 

4822: 

i877 

4932 

58 

2 

4745 

48o3 

4861 

4918 

4976 

5o34 

57 

2 

4987 

5o42 

5096 

5i5i 

3206 

5260 

37 

3 

5092 

5438 

5i49 
5495 

5207 

5265 

5322 

538o 

56 

3 

53i5 

5370 

5425 

5479 

5534 

5589 

56 

4 

5553 

56io 

5668 

5726 

55 

4 

5643 

5698 

5753 

5807 

5862 

5916 

55 

5 

5783 

584i 

5898 

5956 

5oi4 

5071 

54 

5 

5971 

3026 

6080 

6i35 

Sigo 

5244 

54 

6 

6129 

6474 

5i86 

5244 

S3oi 

5359 

5416 

53 

6 

6299 

5353 

64o8 

6462 

5517 

5571 

53 

7 
8 

553i 

5589 

6646 

6704 

5761 

52 

7 

6626 

568o 

6735 

6789 

6844 

6898 

52 

6818 

5876 

5933 

6991 

7048 

7io5 

5i 

8 

6953 

7007 

7062 

71 16 

7171 

7225 

5i 

9 

10 

7163 

7220 

7278 

7335 

7392 

745o 

5o 

9 

7280 

7334 

7388 

7443 

7497 

7552 

5o 

Q. 537507 

7564 

7622 

7679 

7736 

7794 

49 

10 

9.557606 

7660 

77i5 

7769 

7823 

7878 

49 

1 1 

7       >            ' 

785i 

7908 

7965 

8023 

8080 

8137 

48 

II 

7932 

7986 

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8095 

8149 

8204 

48 

I  2 

8194 

S252 

3309 

8366 

8423 

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47 

12 

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8421 

8475 

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47 

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8538 

3595 

3652 

8709 

8766 

8823 

46 

i3 

8583 

8638 

8692 

8746 

8800 

8855 

46 

i4 

8880 

3938 

8995 

9o52 

9109 

9166 

45 

i4 

8909 

8963 

9017 

9071 

9125 

gi8o 

45 

i5 

9223 

9280 

9337 

9394 

945 1 

9508 

44 

i5 

9234 

9288 

9342 

9396 

g45o 

95o4 

44 

i6 

9565 

9622 

9679 

9736 

9793 

9850 

43 

16 

9558 

9613 

9667 

9721 

9775 

9829 

43 

17 

9907 

9964 

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..78 

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.  192 

42 

17 

9883 

9937 

9991 

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42 

18 

g. 540249 

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18 

9.560207 

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0369 

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4i 

19 
20 

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0761 

0818 

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19 

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o585 

0639 

0693 

0747 

0801 

4o 

9.540931 

0988 

1045 

1 102 

ii59 

I2l5 

39 

20 

9,56o855 

0908 

0962 

1016 

1070 

1 124 

39 

21 

1272 

1329 

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1442 

1499 

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38 

21 

1178 

1232 

1286 

i339 

1393 

1447 

38 

22 

i6[3 

1669 

1726 

1783 

1839 

1896 

37 

22 

i5oi 

i555 

1609 

1662 

1716 

1770 

37 

23 

1953 

2009 

2066 

2123 

2179 

2236 

36 

23 

1824 

1878 

igSi 

1985 

2039 

2093 

36 

24 

2293 

2349 

2406 

2462 

2519 

2576 

35 

24 

2i46 

2200 

2254 

2307 

236i 

24i5 

35 

25 

2632 

2689 

2745 

2802 

2858 

2915 

34 

25 

2468 

2522 

2576 

2629 

2683 

2737 

34 

26 

2971 

3o28 

3o84 

3i4i 

3197 

3254 

33 

26 

2790 

2844 

2898 

2951 

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3o58 

33 

27 

28 

J  1 

33io 

3367 

3423 

3480 

3536 

3593 

32 

27 

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3i66 

3219 

3273 

3326 

338o 

32 

3649 

3705 

3762 

38i8 

3875 

3931 

3i 

28 

3433 

3487 

3541 

3594 

3648 

3701 

3i 

29 

3o 

3987 

4o44 

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4i56 

42i3 

4269 

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29 

3755 

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9.544325 

4382 

4438 

4494 

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4607 

29 

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9.564075 

4129 

4182 

4236 

4289 

4343 

29 

3i 

4663 

4719 

4776 

4832 

4888 

4944 

28 

3i 

4396 

4449 

45o3 

4556 

4610 

4663 

28 

32 

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5o57 

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5225 

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32 

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4823 

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33 

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545o 

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5562 

56i8 

26 

33 

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525o 

53o3 

26 

34 

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5899 

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25 

34 

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55i6 

5569 

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6123 

6179 

6235 

6291 

24 

35 

5676 

5729 

5782 

5835 

5888 

5942 

24 

36 

6347 

64o3 

6459 

65i5 

6571 

6627 

23 

36 

5995 

6o48 

6101 

6i54 

6207 

6261 

23 

37 

6683 

6739 

6795 

685i 

6907 

6963 

22 

37 

63x4 

6367 

6420 

6473 

6526 

6579 

22 

38 

7019 

7075 

7i3i 

7187 

7242 

7298 

21 

38 

6632 

6685 

6739 

6792 

6845 

6898 

21 

39 

7354 

7410 

7466 

7522 

7578 

7633 

20 

39 

6951 

7004 

7057 

71 10 

7163 

7216 

20 

4o 

9.547689 

7745 

7801 

7857 

7912 

7968 

19 

40 

9.567269 

7322 

7375 

7428 

7481 

7534 

19 

4i 

8024 

8080 

8i36 

8191 

8247 

83o3 

18 

4i 

7587 

7640 

7693 

7746 

7799 

785i 

18 

42 

8359 

84i4 

8470 

8526 

858i 

8637 

17 

42 

7904 

7957 

8010 

8o63 

8116 

8169 

17 

43 

8693 

8748 

8804 

8860 

8915 

8971 

16 

43 

8222 

8275 

8327 

838o 

8433 

8486 

16 

44 

* 

9027 

9082 

9i38 

9193 

9249 

93o5 

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44 

8539 

8592 

8644 

8697 

8750 

88o3 

i5 

45 

9360 

94i6 

9471 

9527 

9582 

9638 

i4 

45 

8856 

8908 

8961 

9014 

9067 

9119 

i4 

46 

9693 

9749 

9805 

9860 

9916 

9971 

i3 

46 

9172 

9225 

9277 

9330 

9383 

9436 

i3 

47 

9.550026 

0082 

oi37 

0193 

0248 

o3o4 

12 

47 

9488 

9541 

9594 

9646 

9699 

9752 

12 

48 

0359 

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0470 

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o58i 

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1 1 

48 

9804 

9857 

9910 

9962 

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II 

49 

DO 

0692 

0747 

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091  3 

0968 

TO 

49 

9.570120 

0173 

0225 

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o383 

10 

g.55io24 

1079 

[i34 

1 190 

1245 

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5o 

9.570435 

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5i 

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1577 

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1908 

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7 

52 

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1275 

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7 

53 

2018 

207^ 

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2184 

2239 

229Z 

6 

53 

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1537 

1590 

1642 

6 

54 

2349 

24o5 

246c 

25i5 

2570 

2625 

5 

54 

1695 

1747 

1799 

i852 

1904 

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5 

55 

268c 

2735 

279c 

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290c 

2955 

4 

55 

2oog 

2061 

21l3 

2166 

2218 

2270 

4 

56 

)     3oic 

>3o65 

3l2I 

3176 

323i 

3286 

3 

5€ 

2323 

2375 

2427 

2479 

2532 

2584 

3 

5' 

7     3341 

3396 

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35o6 

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2 

5/ 

2636 

268S 

2741 

2793 

2845 

2897 

2 

5t 

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)  372J 

)378c 

)383f 

)  389c 

)394J 

I 

5^ 

i    295c 

3oo: 

3o54 

3io6 

3i58 

3210 

I 

5( 

^1    4ooc 

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)  4ii( 

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)  421C 

)  427^ 

\    0 

5c 

)    326: 

33if 

336-; 

3419 

3471 

3523 

0 

60" 

50" 

i  40" 

30" 

20" 

10" 

_  c 

60" 

50" 

40" 

30" 

20" 

10" 

-  c 
% 

Co-sine  of  69  Degrees. 

ii 

Co-sine  of  68  Degrees. 

,  1"  2"    3"  4"  5"  6"  7"  8"  9" 
P.  1  art  ^  g  j^  ^^  23  23  34  39  45  3i 

P 

•.Part]  J" 

2"  3 
11  1 

„  4„ 
5  21 

5" 
27  I 

5"  7 
52  87 

8" 
43 

9" 

48 

Logarithmic 

Tangents 

45 

d 

Tan<Tent  of  20  Degrees. 

i 

Tangent  of  21  Degrees. 

0" 

10" 

20" 

30"  1  40"  1  50" 

0"   1  10" 

20" 

30" 

40" 

50" 

o 

9.561066 

I  i3i 

I  197 

1262 

i328;i3g3| 

59 

0 

9-584177 

4240 

43o3 

4366 

4429 

4492 

59 

I 

1459 

i524 

i5yo 

i655 

172X 

X786 

58 

X 

4555 

46x8 

468x 

4744 

4806 

4869 

58 

2 

i85i 

1917 

1982 

2048 

2Il3 

2178 

57 

0 

4932 

4gg5 

5o58 

5l2I 

5x83 

5246 

57 

3 

2244 

2309 

2375 

2440 

25o5 

2571 

56 

3 

5309 

5372 

5435 

5498 

556o 

5623 

56 

4 

2636 

2701 

2767 

2832 

28g7 

2g63 

55; 

4 

5686 

5749 

58x1 

5874 

5937 

6000 

55 

5 

3028 

3093 

3i58 

3224 

3289 

3354 

54 

5 

6062 

6X25 

6x88 

625x 

63x3 

6376 

54 

6 

3419 

3485 

355o 

36i5 

368o 

3746 

53 

6 

6439 

65oi 

6564 

6627 

6689 

6752 

53 

7 

38ii 

3876 

3941 

4oo6 

4071 

4x37 

52 

7 

68x5 

6877 

6g4o 

7003 

7065 

7128 

52 

8 

4202 

4267 

4332 

4397 

4462 

4527 

5x 

8 

7190 

7253 

73x6 

7378 

7441 

75o3 

5x 

9 

4593 

4658 

4723 

4788 

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9 

7566 

7629 

7691 

7754 

78x6 

7879 

5o 

10 

9.564983 

5o48 

5ii3 

5x78 

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49 

10 

9.587941 

8004 

8066 

8x29 

8x91 

8254 

49 

II 

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5438 

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48 

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83x6  83791 

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8566 

8629 

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12 

5763 

5828 

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5958 

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8754 

86x6 

8878 

8941 

gooS 

47 

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6i53 

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6283 

6348 

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6478 

46 

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9066 

9128 

9191 

9253 

93x5 

9378 

46 

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6542 

6607 

6672 

6737 

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6867 

45 

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9440 

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9565 

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9690 

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98x4 

9877 

9939 

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44 

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16 

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7774 

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42 

17 

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0748 

081X 

0873 

42 

i8 

8098 

8162 

8227 

8292 

8356,8421 

4i 

18 

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0997 

X060 

1122 

ii84 

1246 

4i 

19 

8486 

855o 

86i5 

8680 

874488og 

4oiix9 

x3o8 

1370 

x433 

1495 

1557 

16x9 

4o 

20 

9.568873 

8938 

9003 

9067 

gx32gxg7 

39 

20 

9.59x681 

1743 

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1868 

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igg2 

39 

21 

9261 

9326 

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95x99584 

38 

21 

2o54 

2II6 

2178 

2240 

2302 

2364 

38 

22 

9648 

97i3 

9777 

9842 

9906  9971 

37 

22 

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2488 

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26x2 

2674 

2737 

37 

23 

9.570035 

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0164 

0229 

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23 

2799 

286X 

2923 

2985 

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36 

24 

0422 

0487 

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0616 

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35 

24 

3x71 

3232 

3294 

3356 

34i8 

3480 

35 

25 

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0873 

0938 

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34 

25 

3542 

36o4 

3666 

3728 

3790 

3852 

34 

26 

1 195 

1259 

i324 

i388 

i452  x5i7 

33 

26 

3914 

3976 

4o38 

4og9 

4i6x 

4223 

33 

27 

i58i 

1645 

1710 

1774 

i838 

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32 

27 

4285 

4347 

44og 

447X 

4532 

4594 

32 

28 

1967 

203l 

2og5 

2x60 

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2288 

3i 

28 

4656 

4718 

4780 

4842 

4903 

4965 

3x 

29 

2352 

2417 

2481 

2545 

2609 

2673 

3o 

29 

5o27 

5089 

5x5o 

52X2 

5274 

5336 

3o 

3o 

9.572738 

2802 

2866 

2930 

2gg4i3o59 

29 

;3o 

9.5g53g8 

5459 

552X 

5583 

5644 

5706 

29 

3i 

3i23 

3187 

325i 

33x5 

3379 

3443 

28 

3x 

5768 

583o 

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6ox5 

6076 

28 

32 

35o7 

3571 

3636 

3700 

3-7  64 

3828 

27 

32 

6x38 

6200 

6261 

6323 

6385 

6446 

27 

33 

3892 

3956 

4020 

4o84 

4x48 

42x2 

26 

33 

65o8 

6570 

663i 

6693 

6754 

68x6 

26 

34 

4276 

4340 

44o4 

4468  4532 

4596 

25 

34 

6878 

6939 

700X 

7062 

7x24 

7x85 

25 

35 

4660 

4724 

4788 

4852  4gi6 

4980 

24 

35 

7247 

7309 

7370 

7432 

7493 

7555 

24 

36 

5o44 

5io8 

5172 

5236 

5299 

5363 

23 

36 

76x6 

7678 

7739 

780X 

7862 

7924 

23 

37 

5427 

5491 

5555 

56xg 

5683 

5747 

22 

37 

7985 

8047 

8x08 

8170 

823x 

8293 

22 

38 

58io 

5874 

5938 

6002 

6066 

6i3o 

21 

38 

8354 

84i5 

8477 

8538 

8600 

866x 

21 

39 

6ig3 

6257 

6321 

6385 

6449 

65x2 

20 

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8722 

8784 

8845 

8907 

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20 

4o 

9.576576 

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19 

40 

9.59909X 

9x52 

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9275 

9336 

g3g8 

19 

4i 

6959 

7022 

7086 

7x5o 

7213 

7277 

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9459 

9520 

g58x 

9643 

9704 

9765 

18 

42 

7341 

74o4 

7468 

7532 

7595 

7659 

17 

i42 

9827 

9888 

9949 

.  .  II 

..72 

.x33 

17 

43 

7723 

7786 

785o 

7914 

7977 

8o4x 

x6 

143 

9.600x94 

0256 

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0378 

0439 

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16 

44 

8io4 

8168 

823i 

8295 

8359 

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0623 

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0868 

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45 

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X  X 12 

XX  74 

1235 

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46 

8867 

8930 

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147 

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12 

48 

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XX 

48 

2029 

2090 

2x5i 

2212 

2273 

2334 

XI 

49 

9.580009 

0072 

oi36 

oigg 

0262 

o326 

XO 

i49 

2395 

2456 

25i7 

2578 

2639 

2700 

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5o 

9.580389 

0453 

o5i6 

o57g 

0642 

0706 

9 

5o 

9.602761 

2822 

2883 

2g44 

3oo5 

3o66 

9 

5i 

0769 

o832 

0896 

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X022 

1086 

8 

5x 

3x27 

3x88 

3249 

33x0 

3371 

3432 

8 

52 

1149 

1212 

1275 

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l402 

'x465 

7 

!52 

3493 

3554 

36x5 

3675 

3736 

3797 

7 

53 

i528 

1591 

i655 

17x8 

X78X 

ii844 

6 

53 

3858 

39x9 

3980 

4o4i 

4X02 

4162 

6 

54 

1907 

1971 

2o34 

2097 

2x60  2223 

5 

54 

4223 

4284 

4345 

44o6 

4467 

4527 

5 

55 

2286 

235o 

24x3 

2476 

2539  2602 

4 

55 

4588 

4649 

4710 

4771 

483x 

4892 

4 

56 

2665 

2728 

2791 

2854 

2917  2g8o 

3 

56 

4953 

5oi4 

5074 

5x35 

5xg6 

5257 

3 

57 

3o44 

3107 

3x70 

3233 

3296,3359 

2 

57 

53x7 

5378 

543g 

55oo  556o 

5621 

2 

5fe 

3422 

3485 

3548 

36x1 

36743737 

I 

58 

5682 

5742 

58o3 

,5864,5924 

!5g85 

I 

5c 

)    38oc 

3863 

3926 

3989 

4o52  4ii4 

0 

59 

6o46 

6106  6x67 

6228 
1  30" 

6288 
^" 

6349 

0 

I    60" 

50" 

40"   30" 

20"  1  10" 

-  d 

60" 

50"  1  40" 

10" 

d 

Co-tangent  of  69  Degrees. 

Co-tangent  of  68  Degrees. 

S 

P. 

p„,  j  1"  3"  3"  4"  5"  6"  7"  8"  9" 
'"'  ^6  13  19  26  33  39  45  51  58 

P. 

Part]!"^ 

2"  3 
12  IS 

'  4" 
25 

5"  i 
31  3 

)"  7" 
7  43 

8" 
49 

9" 
50 

46 


Logarithmic   Sines. 


a 

s 

Sine  of  22  Degrees. 

Sine  of  23  Degrees. 

0" 

10" 

20" 

30" 

40" 

50" 

0" 

10" 

20" 

30" 

40"   50"  1 

0 

9.573575 

3628 

368o 

3733 

3784 

3836 

59 

0 

9.591878 

1928 

1977 

2027 

2076 

2126 

59 

I 

3888 

3940 

3992 

4o44 

4096 

4i48 

58 

I 

2176 

3225  2275 

2324 

2374 

2423 

58 

2 

4200 

4252 

43o4 

4356 

4408 

4460 

57 

0 

2473 

2522  2572 

2621 

2671 

2720 

57 

3 

45i2 

4564 

46i6 

4668 

4720 

4772 

56 

3 

2770 

2819  2869 

2918 

2968 

3017 

56 

4 

4824 

4876 

4928 

4980 

5o32 

5o84 

55 

4 

3067 

3ii63i65 

32i5 

3264 

33i4 

55 

5 

5r36 

5187 

5239 

5291 

5343 

5395 

54 

5 

3363 

3412 

3462 

35ii 

356i 

36io 

54 

6 

5447 

5499 

555o 

56o2 

5654 

5706 

53 

6 

3659 

3709 

3758 

3807 

3857 

3906 

53 

7 

8 

5758 

58io 

586i 

5913 

5965 

6017 

52 

7 

3955 

4oo5 

4o54 

4io3 

4i53 

4202 

52 

6069 
6379 

6120 

6172 

6224 

6276 

632  7 

5i 

8 

425i 

43oi 

435o 

4399 

4448 

4498 

5i 

9 

10 

643i 

6483 

6534 

6586 

6638 

5o 

9 

4547 

4596 

4645 

4695 

4744 

4793 

5o 

9.576689 

6741 

5793 

6844 

6896 

6948 

49 

10 

9.594842 

4891 

4941 

4990 

5o39 

5o88 

49 

1 1 

6999 
7309 

7o5i 

7103 

7154 

7206 

7257 

48 

11 

5i37 

5i86 

5236 

5285 

5334 

5383 

48 

12 

7360 

74l2 

7464 

75i5 

7567 

47 

12 

5432 

5481 

553o 

558o 

5629 

5678 

47 

i3 

7618 

7670 

7721 

7773 

7824 

7876 

46 

i3 

5727 

5776 

5825 

5874 

5923 

5972 

46 

i4 

7927 

7979 

8o3o 

8082 

8i33 

8i85 

45 

i4 

6021 

6070 

61 19 

6168 

6217 

6266 

45 

i5 

8336 

8288 

3339 

8391 

8442 

8494 

44 

i5 

63i5 

6364 

64i3 

6462 

65ii 

656o 

44 

i6 

8545 

8596 

8648 

8699 

8751 

8802 

43 

16 

6609 

6658 

6707 

6756 

68o5 

6854 

43 

17 

8853 

8905 

3956 

9008 

9059 

91 10 

42 

17 

6903 

6952 

7001 

7o5o 

7099 

7148 

42 

18 

9162 

9213 

9264 

9316 

9367 

9418 

4i 

18 

7196 

7345 

7294 

7343 

7392 

7441 

4i 

19 

9470 

9521 

9572 

9623 

9675 

9726 

4o 

19 

7490 

7539 

7587 

7636 

7685 

7734 

4o 

7 

20 

9.579777 

9828 

9880 

9931 

9982 

..33 

39 

20 

9.597783 

783i 

7880 

7929 

7978 

8027 

39 

21 

9.58oo85 

oi36 

0187 

0238 

0289 

o34i 

38 

21 

8075 

8124 

8173 

8222 

8270 

83i9 

38 

22 

o3q2 

0443 

0494 

0545 

0596 

0647 

37 

22 

8368 

8417 

8465 

85i4 

8563 

86x2 

37 

23 

0699 

0750 

0801 

o852 

0903 

0954 

36 

23 

8660 

8709 

8758 

8806 

8855 

8904 

36 

24 

ioo5 

io56 

1 107 

1 1 58 

1209 

1261 

35 

24 

8952 

9001 

9o5o 

9098 

9147 

9195 

35 

25 

l3[3 

i363 

i4i4 

i465 

i5i6 

i567 

34 

25 

9244 

9293 

9341 

9390 

943s 

9487 

34 

26 

i6i8 

1669 

1720 

1771 

1822 

1873 

33 

26 

9536 

9584 

9633 

9681 

9730 

9778 

33 

27 

1924 

1975 

2025 

2076 

2127 

2178 

32 

27 

9827 

9876  9924 

9973 

.  .21 

..70 

32 

28 

2329 

2280 

233i 

2382 

3433 

2484 

3i 

28 

9.6001 18 

0167  02l5 

0264 

o3i2 

o36i 

3i 

29 

2535 

2585 

2636 

2687 

2738 

2789 

3o 

29 

0409 

0457 

o5o6 

o554 

o6o3 

o65i 

3o 

3o 

9.583840 

2890 

2941 

2992 

3o43 

3094 

29 

3o 

9.600700 

0748 

0797 

0845 

0893 

0942 

29 

3i 

3i45 

3195 

3246 

3297 

3348 

3398 

28 

3i 

0990 

io38 

1087 

ii35 

ii84 

1232 

28 

32 

3449 

35oo 

355i 

36oi 

3652 

3703 

27 

32 

1280 

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33 

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59 

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1680 

1729 

1779 

1828 

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59 

9039 

9077 

9124 

9171 

9219 

9266 

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60" 

50"  1  40" 

30" 

1  20" 

1  10" 

?5 

60"   1  50"  1  40" 

30" 

20" 

10" 

d 

'9, 

Co-sine  of  67  Degrees. 

Co-sine  of  66  Degrees. 

„  „   M"  2"  3"  4"  5"  6"  7"  8"  9" 
P.Part-jg  jQ  -J5  2Q  25  3^  gg  4^  43 

P 

„   (1"  2"  3"  4"  5"  6"  7"  8" 
•  ^^^^  15  10  15  19  24  29  34  39 

9" 
44 

Logarithmic 

Tangents. 

47 

a 

Taufjent  of  22  Degrees. 

Tangent  of  23  Degrees. 

59 

0"   1  10"  1  20" 

30"  1  40"  1  50" 

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80" 

30" 

40"  1  50" 

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53 

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53 

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54 

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5 

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55 

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3 

57 

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7562 

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58 

7149 

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58 

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0 

60"     50"  1  40" 

30" 

20" 

10" 

60" 

50" 

40" 

30" 

20" 

10" 

Co-tangent  of  67  Degrees. 

Co-tangent  of  66  Degrees. 

P.l 



,„,  j  1"  2"  3"  4"  5"  6"  7"  8"  9" 
^"^(6  12  18  24  30  36  42  48  54 

p  p  ,  J  1"  2"  3"  4"  5"  6"  7"  8"  9" 
i-.i-art^g  12  17  23  29  35  40  46  52 

48 

LOGAKITHMIC  SiNES, 

3 

o 

Sine  of  24  Degrees, 

a 

Sine  of  25  Degrees. 

0" 

10" 

20" 

30" 

40" 

50" 

0" 

10" 

20" 

30" 

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6 

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9.617727 

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27 

32 

45i4;4558 

4602 

4646 

4690 

4734 

27 

33 

8558 

86o4 

865o 

8696 

8742 

8788 

26 

33 

4778'4822 

4866 

4910 

4954 

4998 

26 

34 

8834 

8880 

8926 

8972 

9018 

9064 

25 

34 

5o42'5o86 

5i3o 

5174 

5218 

5262 

25 

35 

9110 

9i56 

9202 

9248 

9294 

9340 

24 

35 

53o6,535o 

5394 

5438 

5482 

5526 

24 

36 

9386 

9432 

9478 

9524 

9570 

9616 

23 

36 

55705614 

5658 

5702 

5746 

5790 

23 

37 

9662 

9708 

9754 

9800 

9846 

9892 

22 

37 

5834:5877 

5921 

5965  6009 

6o53 

22 

38 

9938 

99^4 

.  .3o 

..76 

.121 

.167 

21 

38 

6097  6i4i 

6i85 

6229  6272 

63i6 

21 

39 

9 .620213 

0259 

o3o5 

o35i 

0397 

0443 

20 

39 

636o  64o4 

6448 

649216535 

6579 

20 

4o 

9.620488 

o534 

o58o 

0626 

0672 

0718 

19 

4o 

9.636623,6667 

671 1 

67546798 

6842 

'9 

4i 

0763 

0809 

o855 

0901 

0947 

0992 

18 

4i 

68866930 

6973 

7017 

7061 

7105 

18 

42 

io38 

io84 

I  i3o 

1175 

1221 

1267 

17 

42 

7148  7192 

7236 

7280 

7323 

7367 

17 

43 

i3i3 

i358 

i4o4 

i45o 

1496 

i54i 

16 

43 

741 1  7455 

7498 

7542 

7586 

7629 

16 

44 

i587 

i633 

1678 

1724 

1770 

1816 

i5 

44 

76737717 

7760 

780417848 

7891 

i5 

45 

1 86 1 

1907 

1953 

1998 

2o44 

2089 

i4 

45 

7935|7979 

8022 

8066 

8110 

8i53 

i4 

46 

2i35 

2 181 

2226 

2272 

23i8 

2363 

i3 

46 

819718240 

8284 

8328 

8371 

84i5 

i3 

47 

2409 

2454 

25oo 

2546 

2591 

2637 

12 

47 

84588502 

8546 

8589 

8633 

8676 

12 

48 

2682 

2728 

2773 

2819 

2865 

2910 

11 

48 

8720  8763 

8807 

885i 

8894 

8938 

II 

49 

2936 

3ooi 

3o47 

3092 

3i38 

3i83 

10 

49 

8981  9025 

9068 

91 12 

9i55 

9199 

10 

5o 

9.623229 

3274 

3320 

3365 

34ii 

3456 

9 

5o 

9.639242  9286 

9329 

9373 

9416 

9460 

9 

5i 

35o2 

3547 

3593 

3638 

3683 

3729 

8 

5i 

gSoS  9546 

9590 

9633 

9677 

9720 

8 

52 

3774 

3820 

3865 

3911 

3956 

4ooi 

7 

52 

9764  9807 

985i 

9894 

9937 

9981 

7 

53 

4o47 

4092 

4i38 

4i83 

4228 

4274 

6 

53 

9.640024  0068 

OIII 

oi54 

0198 

0241 

6 

54 

4319 

4364 

44io 

4455 

45oo 

4546 

5 

54 

o284!o328 

0371 

o4i4 

o458 

o5oi 

5 

55 

4591 

4636 

4682 

4727 

4772 

4818 

4 

55 

o544lo588 

06  3 1 

0674 

0718 

0761 

4 

56 

4863 

4908 

4954 

4999 

5  044 

5089 

3 

56 

o8o4o848 

0891 

0934 

0978 

1 02 1 

3 

57 

5i35 

5i8o 

5225 

5270 

53i6 

536i 

2 

57 

1064  1 107 

I  i5i 

1 1 94 

1237 

1280 

2 

58 

5406 

545i 

5496 

5542 

5587 

5632 

I 

58 

i324  i367 

i4io 

1453 

1496 

1 540 

I 

59 

5677 

5722 

5768 

58i3 

5858 

5903 

0 

59 

i583  1626 

1669 

1712 

1756 

1799 

0 

00" 

.50" 

40" 

30" 

20" 

10" 

60"   1  .50" 

40" 

30" 

20" 

10" 

Co-sine  of  65  Degrees, 

Co-sine  of  64  Degrees, 

P  P,  f  J  1"  2"  3"  4"  5"  6"  7"  8" 
■  *  1  5  9  14  18  23  28  32  37  4 

9" 

[2 

p  „  ,  j  1"  2"  3"  4"  5"  6"  7"  8"  9" 
ni art  ^  ^  9  13  18  22  26  31  35  40 

L  OGARITHMIC 

Tangents. 

49 

s 

o 

Tangent  of  24  Degrees. 

s 

Tangent  of  25  Degrees. 

0"     10" 

20" 

30"  1  40" 

50" 

0" 

10" 

20" 

30" 

40" 

50" 

9.648583  8640 

8696 

8753 

8810 

8866  59 

0 

9.6686738728 

8782 

8837 

8892 

8947 

59 

I 

8923  8980 

9o36 

9093 

9i5o 

920658 

I 

9002 

9057 

9112 

9167 

9222 

9277 

58 

2 

9263  9319 

9376 

9433I9489 

9546,57 

0 

93329387 

9442 

9497 

9552 

9606 

57 

3 

9602 

9659 

9715I9772  9829 

9885 

56 

3 

9661  9716 

9771 

9826 

9881 

9936 

56 

/ 
4 

9942 

9998 

..55 

.iiij.i68 

.224 

55 

4 

9991 

..45 

.  100 

.i55 

.210 

.265 

55 

5 

9.650281 

0337 

0394 

o45o 

o5o7 

o563 

54 

5 

9.670320 

0375 

0429 

o484 

0539 

0594 

54 

G 

0620 

0676 

0733 

0789 

o846 

0902 

53 

6 

o649'o7o3 

0758 

o8i3 

0868 

0923 

53 

7 

0959 

ioi5 

1072 

1128 

ii85 

I24l 

52 

7 

0977  io32 

1087 

1 142 

II97 

125l 

52 

8 

1297 

i354 

i4io 

1467 

i523 

1579 

5i 

8 

i3o6[i36i 

i4i6 

1470 

i525 

i58o 

5i 

9 

i636 

1692 

1749 

i8o5 

i86i 

1918 

5o 

9 

i635  1689 

1744 

1799 

i853 

1908 

5o 

11) 

9.65i974 

203l 

2087 

2143 

2200 

2256 

49 

10 

g. 671963^2018 

2072 

2127 

2182 

2236 

49 

1 1 

23l2 

2369 

2425 

2481 

2538 

2594 

48 

1 1 

2291  2346 

2400 

2455 

25l0 

2564 

48 

12 

265o 

2707 

2763 

2819 

2875 

2932 

47 

12 

2619  2674 

2728 

2783 

2838 

2892 

47 

i3 

2988 

3o44 

3ioi 

3i57 

32i3 

3269 

46; 

i3 

2947  3ooi 

3o56 

3iii 

3i65 

3220 

46 

i4 

3326 

3382 

343s 

3494 

355i 

3607 

45 

i4 

3274  3329 

3384 

3438 

3493 

3547 

45 

i5 

3663 

3719 

3776 

3832 

3888 

3944 

44 

i5 

36o2  3657 

371 1 

3766 

3820 

3875 

44 

i6 

4ooo 

4o57 

4ii3 

4169 

4225 

4281 

43 

16 

3929  3984 

4o38 

4093 

4i48 

4202 

43 

I? 

4337 

4394 

445o 

45o6 

4562 

46i8 

42 

17 

4257:4311 

4366 

4420 

4475 

4529 

42 

i8 

4674 

4731 

4787 

4843 

4899 

4955 

4i 

i8 

4584  4638 

4693 

4747 

4802 

4856 

4i 

^9 

5oii 

5067 

5i23 

5179 

5236 

5292 

4o 

19 

491 1  4965 

5019 

5074 

5i28 

5i83 

4o 

20 

9-655348 

54o4 

5460 

55i6 

5572 

5628 

39 

20 

9.675237:5292 

5346 

5401 

5455 

5509 

39 

21 

5684 

5740 

5796 

5852 

5908 

5964 

38 

21 

5564  56i8 

5673 

5727 

5781 

5836 

38 

22 

6020 

6076 

6i32 

6188 

6244 

63oo 

37 

22 

5890  5945 

5999 

6o53 

6108 

6162 

37 

23 

6356 

64i2 

6468 

6524 

658o 

6636 

36 

23 

6217  6271 

6325 

638o 

6434 

6488 

36 

24 

6692 

6748 

6804 

6860 

6916 

6972 

35 

24 

6543  6597 

665i 

6706 

6760 

68i4 

35 

25 

7028 

7084 

7140 

7196 

7252 

7308 

34 

25 

6869 

6923 

6977 

7032 

7086 

7140 

34 

26 

7364 

7419 

7475 

7531 

7587 

7643 

33 

26 

7194 

7249 

73o3 

7357 

74l2 

7466 

33 

27 

7699 

7755 

7811 

7867 

7922 

7978 

32 

27 

7520 

7574 

7629 

7683 

7737 

7791 

32 

28 

8o34 

8090 

8i46 

8202 

8258 

83i3 

3i 

28 

7846 

7900 

7954 

8008 

8062 

8117 

3i 

29 

8369 

8425 

848 1 

8537 

8592 

8648 

3o 

29 

8171 

8225 

8279 

8334 

8388 

8442 

3o 

3o 

9.658704 

8760 

8816 

8871 

8927 

8983 

29 

3o 

9.678496 

855o 

8604 

8659 

8713 

8767 

29 

3i 

9039 

9095 

9i5o 

9206 

9262 

9318 

28 

3i 

8821 

8875 

8929 

8984 

9o38 

9092 

28 

32 

9373 

9429 

9485 

9540 

9596 

9652 

27 

32 

9146 

9200 

9254 

9308 

9363 

9417 

27 

33 

9708 

9763 

9819 

9875 

9930 

9986 

26 

33 

9471 

9525 

9579 

9633 

9687 

9741 

26 

34 

9.660042 

0098 

oi53 

0209 

0265 

o32o 

25 

34 

9795 

9849 

9904 

9958 

.  .12 

..66 

25 

35 

0376 

o43i 

0487 

o543 

0598 

o654 

24 

35 

9.680120 

0174 

0228 

0282 

o336 

oSgo 

24 

36 

0710 

0765 

0821 

0877 

0932 

0988 

23 

36 

0444 

0498 

o552 

0606 

0660 

0714 

23 

37 

1043 

1099 

ii55 

1210 

1266 

l32I 

22 

37 

0768 

0822 

0876 

0930 

0984 

io38 

22 

38 

1377 

l432 

i488 

1 544 

1599 

i655 

21 

38 

1092 

ii46 

1200 

1254 

i3o8 

i362 

21 

39 

1710 

[766 

1821 

1877 

1932 

1988 

20 

39 

i4i6ji47o 

i524 

1578 

i632 

1686 

20 

4o 

9.662043 

2099 

2i54 

2210 

2265 

2321 

19 

4o 

9.681740 

1794 

1847 

1901 

1955 

2009 

'9 

4i 

2376 

2432 

2487 

2543 

2598 

2654 

18 

4i 

2o63 

2117 

2171 

2225 

2279 

2333 

i8 

42 

2709 

2765 

2820 

2876 

2931 

2987 

17 

42 

2387 

2440 

2494 

2548 

2602 

2656 

17 

43 

3o42 

3097 

3i53 

3208 

3264 

3319 

16 

43 

2710 

2764 

2817 

2871 

2925 

2979 

16 

44 

3375 

343o 

3485 

3541 

3596 

365i 

i5 

44 

3o33 

3087 

3i4o 

3194 

3248 

33o2 

i5 

45 

3707 

3762 

38i8 

3873 

3928 

3984 

i4 

45 

3356 

3410 

3463 

35i7 

3571 

3625 

a 

46 

4o39 

4094 

4i5o 

42o5 

4260 

43i6 

i3 

46 

3679 

3732 

3786 

384o 

3894 

3947 

i3 

47 

4371 

4426 

4482 

4537 

4592 

4648 

12 

47 

4ooi 

4o55 

4109 

4162 

4216 

4270 

12 

48 

4703 

4758 

48i4 

4869 

4924 

4979 

II 

48 

4324 

4377 

443 1 

4485 

4539 

4592 

II 

49 

5o35 

5090 

5i45 

5200 

5256 

53ii 

10 

49 

4646 

4700 

4753 

4807 

4861 

4914 

10 

5o 

9.665366 

5421 

5477 

5532 

5587 

5642 

9 

5o 

9.684968 

5022 

5075 

5129 

5i83 

5236 

9 

5i 

5698 

5753 

58o8 

5863 

5918 

5974 

8 

5i 

5290 

5344 

5397 

545i 

55o5 

5558 

8 

52 

6029 

6084 

6139 

6194 

6249 

63o5 

7 

52 

56i2 

5666 

5719 

5773 

5827 

588o 

7 

53 

636o 

64i5 

6470 

6525 

658o 

6636 

6 

53 

5934 

5987 

6o4i 

6095 

6i48 

6202 

6 

54 

6691 

6746 

6801 

6856 

691 1 

6966 

5 

54 

62556309 

6363 

64i6 

6470 

6523 

5 

55 

7021 

7076 

7i32 

7187 

7242 

7297 

4 

55 

6577I6630 

6684 

6737 

6791 

6845 

4 

56 

7352 

7407 

7462 

7517 

7572 

7627 

3 

56 

6898 

6952 

7005 

7059 

71 12 

7166 

3 

57 

7682 

7737 

7792 

7847 

7903 

7958 

2 

57 

7219 

7273 

7326 

7380 

7433 

7487 

2 

58 

8oi3 

806B 

8123 

8178 

8233 

8288 

I 

58 

7540 

7594 

7647 

7701 

7754 

7808 

I 

59 

8343 

8398 

8453 

85o8 

8563 

8618 

0 

59 

7861 

79x5 

7968 

8021 

8075 

8128 

0 

60" 

50" 

40" 

30" 

20" 

10" 

60" 

50" 

40" 

30" 

20" 

10" 

d 

Co-tangent  of  65  Degrees. 

Co-tangent  of  64  Degrees. 

P. 

P„J  1"  2"  ?>"    4"  5"  6"  7"  8"  9" 
'*"/  6  11  17  22  28  33  39  45  50 

p  p  J  1"  2"  3"  4"  5"  6"  7"  8"  9" 
f.  faring  11  16  22  27  33  38  43  49 

_^ -^ — 1 

r\ 


50 


LOGAKITHMIC     SiNES. 


a 

Sine  of  26  Degrees. 

Sine  of  27  Degrees. 

0"   • 

10" 

20" 

30" 

40" 

50" 

0" 

10" 

20" 

30" 

40" 

50" 

0 

9.641842 

i885 

1928 

1971 

20l5 

2o58 

59 

0 

9.657047 

7088 

7129 

7171 

7212 

7253 

59 

I 

2I01 

2 1 44 

2187 

223o 

2273 

'2317 

58 

I 

7295 

7336 

7377 

7418 

7460 

75oi 

58 

2 

236o 

24o3 

2446 

2489 

2532 

2575  57 

2 

7542 

7584 

7625 

7666 

7707'7749 

57 

3 

2618 

2661 

2704 

2747 

2790 

283356 

3 

7790 

783i 

7872 

7913 

7955  7996 

56 

4 

2877 

2920 

2963 

3oo6 

3o49 

3092 

55 

4 

8037 

8078 

8119 

8I6I 

8202  8243 

55 

5 

3i35 

3178 

3221 

3264 

3307 

335o54 

5 

8284 

8325 

8367 

84o8 

84488490 

54 

6 

3393 

3436 

3479 

3522 

3565 

3607  53 

6 

853i 

8572 

86i3 

8655 

8696^8737 

53 

7 

365o 

3693 

3736 

3779 

3822 

3865  52 

7 

8778 

8819 

8860 

8901 

89428983 

52 

'  8 

3908 

3951 

3994 

4o37 

4o8o 

4i23  5i 

8 

9025 

9066 

9107 

9148 

9189  9230 

5i 

9 

4i65 

4208 

425i 

4294 

4337 

438o  5o 

9 

9271 

9312 

9353 

9394 

94359476 

5o 

lO 

9.644423 

4465 

45o8 

455i 

4594 

4637  49 

10 

9.659517 

9558 

9599 

9640 

9681  9722 

49 

II 

4680 

4722 

4765 

4808 

485i 

4894148 

II 

9763 

9804 

9845 

9886 

992719968 

48 

12 

4936 

4979 

5o22 

5o65 

5io8 

5i5o 

47 

12 

9.660009 

oo5o 

0091 

Ol32 

0173 

0214 

47 

i3 

6193 

5236 

5279 

5321 

5364 

5407 

46 

i3 

0255 

0296 

0337 

0378 

0419 

o46o 

46 

i4 

545o 

5492 

5535 

5578 

5620 

5663 

45 

i4 

o5oi 

o54i 

o582 

0623 

0664 

0705 

45 

i5 

5706 

5749 

5791 

5834 

5877 

5919 

44 

i5 

0746 

0787 

0828 

0869 

0909 

0950 

44 

i6 

5962 

6oo5 

6o47 

6090 

6i33 

6175 

43 

16 

0991 

io32 

1073 

II  i4 

1 1 54 

1195 

43 

I? 

6218 

6260 

63o3 

6346 

6388 

643i 

42 

17 

1236 

1277 

i3i8 

1359 

1399 

i44o 

42 

i8 

6474 

65i6 

6559 

6601 

6644 

6686 

4i 

18 

i48i 

l522 

i563 

i6o3 

1 644 

i685 

4i 

'9 

6729 

6772 

68i4 

6857 

6899 

6942 

4o 

19 

1726 

1766 

1807 

i848 

1889 

1929 

4o 

20 

9.646984 

7027 

7069 

7112 

7154 

7197 

39 

20 

9.661970 

201  I 

2052 

2092 

2i33 

2174 

39 

21 

7240 

7282 

7325 

7367 

7409 

7452 

38 

21 

2214 

2255 

2296 

2337 

2377 

24i8 

38 

22 

7494 

7537 

7579 

7622 

7664 

7707 

37 

22 

2459 

2499 

2540 

258i 

2621 

2662 

37 

23 

7749 

7792 

7834 

7877 

7919 

7961 

36 

23 

2703 

2743 

2784 

2825 

2865 

2906 

36 

24 

8oo4 

3o46 

8089 

8i3i 

8173 

8216 

35 

24 

2946 

2987 

3028 

3o68 

3109 

3i49 

35 

25 

8258 

83oi 

8343 

8385 

8428 

8470 

34 

25 

3190 

323i 

3271 

33i2 

3352 

3393 

34 

26 

85i2 

8555 

8597 

8639 

8682 

8724 

33 

26 

3433 

3474 

35i5 

3555 

3596 

3636 

33 

27 

8766 

8809 

885i 

8893 

8936 

8978 

32 

27 

3677 

3717 

3758 

3798 

3839 

3879 

32 

28 

9020 

9063 

gioS 

9147 

9189 

9232 

3i 

28 

3920 

3960 

4ooi 

4o4i 

4082 

4l22 

3i 

29 

9274 

9316 

9358 

9401 

9443 

9485 

3o 

29 

4i63 

42o3 

4244 

4284 

4325 

4365 

3o 

3o 

9.649527 

9570 

9612 

9654 

9696 

9739 

29 

3o 

9.664406 

4446 

4486 

4527 

4567 

4608 

29 

3i 

9781 

9823 

9865 

9907 

9949 

9992 

28 

3i 

4648 

4689 

4729 

4769 

48io 

485o 

28 

32 

9.65oo34 

0076 

ou8 

0160 

0202 

0245 

27 

32 

4891 

4931 

4971 

5oi2 

5o52 

5093 

27 

33 

0287 

0329 

0371 

o4i3 

0455 

0497 

26 

33 

5i33 

5173 

52i4 

5254 

5294 

5335 

26 

34 

0539 

o582 

0624 

0666 

0708 

0750 

25 

34 

5375 

54i5 

5456 

5496 

5536 

5577 

25 

35 

0792 

o834 

0876 

0918 

0960 

1002 

24 

35 

5617 

5657 

5697 

5738 

5778 

58i8 

24 

36 

io44 

1086 

1128 

1 171 

I2l3 

1255 

23 

36 

5859 

5899 

5939 

5979 

6020 

6060 

23 

37 

1297 

1339 

i38i 

i423 

i465 

i5o7 

22 

37 

6100 

6i4o 

6181 

6221 

6261 

63oi 

22 

38 

1549 

1591 

i633 

1675 

1716 

1758 

21 

38 

6342 

6382 

6422 

6462 

65o2 

6543 

21 

39 

1800 

1842 

i884 

1926 

1968 

2010 

20 

39 

6583 

6623 

6663 

6703 

6743 

6784 

20 

4o 

9.652o52 

2094 

2i36 

2178 

2220 

2262 

19 

40 

9.666824 

6864 

6904 

6944 

6984 

7025 

19 

4i 

23o4 

2345 

2387 

2429 

2471 

25i3 

18 

4i 

7065 

7105 

7145 

7185 

7225 

7265 

18 

42 

2555 

2597 

2638 

2680 

2722 

2764 

17 

42 

73o5 

7346 

7386 

7426 

7466 

75o6 

17 

43 

2806 

2848 

2890 

2931 

2973 

3oi5 

16 

43 

7546 

7586 

7626 

7666 

7706 

7746 

16 

44 

3o57 

3099 

3i4o 

3i82 

3224 

3266 

i5 

44 

7786 

7826 

7866 

7906 

7946 

7986 

i5 

45 

33o8 

3349 

3391 

3433 

3475 
3725 

35i6 

i4 

45 

8027 

8067 

8107 

8147 

8187 

8227 

i4 

46 

3558 

36oo 

3642 

3683 

3767 

i3 

46 

8267 

83o7 

8347 

8386 

8426 

8466 

i3 

47 

38o8 

385o 

3892 

3934 

3975 

4017 

12 

47 

85o6 

8546 

8586 

8626 

8666 

8706 

12 

48 

4o59 

4ioo 

4i42 

4i84 

4225 

4267 

1 1 

48 

8746 

8786 

8826 

8866 

8906 

8946 

II 

49 

4309 

435o 

4392 

4434 

4475 

4517 

10 

49 

8986  9026 

9065 

9io5 

9145 

9185 

10 

5o 

9.654558 

4600 

4642 

4683 

4725 

4766 

9 

5o 

9.669225  9265 

93o5 

9345 

9384 

9424 

9 

5i 

4808 

485o 

4891 

4933 

4974 

5oi6 

8 

5i 

9464  g5o4 

9544 

9584 

9624 

9663 

8 

52 

5o58 

5099 

5i4i 

5i82 

5224 

5265 

7 

52 

9703 

9743 

9783 

9823 

9862 

9902 

7 

53 

5307 

5348 

5390 

543 1 

5473 

55i4 

6 

53 

9942 

9982 

.  .22 

..61 

.  101 

.i4i 

6 

54 

5556 

5597 

5639 

568o 

5722 

5763 

5 

54 

9.670181 

0220 

0260 

o3oo 

o34o 

0379 

5 

55 

58o5 

5846 

5888 

5929 

5971 

6012 

4 

55 

0419 

0459 

0499 

o538 

0578 

0618 

4 

56 

6o54 

6095 

6i36 

6178 

6219 

6261 

3 

56 

o658 

0697 

0737 

0777 

0816 

o856 

3 

57 

63o2 

6344 

6385 

6426 

6468 

65o9 

2 

57 

0896 

0935 

0975 

ioi5 

io54 

1094 

2 

58 

655i 

6592 

6633 

6675 

6716 

6757 

I 

58 

1 1 34 

1173 

I2l3 

1253 

1292 

i332 

I 

59 

6799 

684o 

6881 

6923 

6964 

7oo5 

0 

59 

1372 

i4i  1 

i45i 

1490 

i53o 

1570 

0 

60"     50" 

40" 

30" 

20"  1  10" 

60" 

50" 

40" 

30" 

20" 

10" 

i 

Co-sine  of  63  Degrees. 

Co-sine  of  62  Degrees. 

P  p,rt  i  1"  2"  3"  4"  5"  6"  7"  8"  9" 
•  '^"^  }A     8  13  17  21  25  30  34  38 

p  p  .  j  1"  2"  3"  4"  5"  6"  7"  8"  9" 
r.ran^^  8  12  16  20  24  28  32  36 

LOGAKITHMIC  ' 

Tangents. 

51 

Tangent  of  26  Degrees. 

a 

Tangent  of  27  Degrees. 

0" 

10" 

20" 

30" 

40" 

50" 

0" 

10" 

20" 

30" 

40" 

50" 

0 

9.688182 

8235 

8289 

8342 

8395 

8449 

59 

0 

9.707166 

7218 

7270 

7322 

7374 

7426 

59 

I 

85o2 

8556 

8609 

8663 

8716 

8769 

58 

I 

7478 

7530 

7582 

7634 

7686 

7738 

58 

2 

8823 

8876 

8930 

8983 

9o36 

9090 

57 

2 

7790 

7842 

7894 

7946 

7998 

8o5o 

5? 

3 

9r43 

9196 

9250 

93o3 

9356 

9410 

56 

3 

8102 

8i54 

8206 

8258 

83io 

8362 

56 

4 

9463 

9516 

9570 

9623 

9676 

9730 

55 

4 

84i4 

8466 

85i8 

8570 

8622 

8674 

55 

5 

9783 

9836 

9890 

9943 

9996 

..5o 

54 

5 

8726 

8778 

883o 

8882 

8934 

8985 

54 

6 

9.690103 

oi56 

0210 

0263 

o3i6 

0369 

53 

6 

9037 

9089 

9141 

9193 

9245 

9297 

53 

7 

o423 

0476 

o529 

o582 

o636 

0689 

52 

7 

9349 

9401 

9453 

95o4 

9556 

9608 

52 

« 

0742 

0795 

0849 

0902 

0955 

1008 

5i 

8 

9660 

9712 

9764 

9816 

9868 

9919 

5i 

9 

1062 

in5 

1 168 

1221 

1274 

i328 

5o 

9 

9971 

..23 

..75 

.  127 

.179 

.23l 

5o 

lO 

9.69I38I 

1434 

1487 

1 540 

1594 

[647 

49 

10 

9.710282 

o334 

o386 

o438 

0490 

o542 

49 

1 1 

1700 

1753 

1806 

1859 

1913 

1966 

48 

II 

0593 

0645 

0697 

0749 

0801 

o852 

48 

12 

2019 

2072 

2125 

2178 

2232 

2285 

47 

12 

0904 

0956 

1008 

loSg 

I  III 

ii63 

47 

i3 

2338 

2391 

2444 

2497 

255o 

2603 

46 

i3 

I2l5 

1267 

i3i8 

1370 

l422 

1474 

46 

i4 

2656 

2710 

2763 

2816 

2869 

2922 

45 

i4 

i525 

1577 

1629 

1681 

1732 

1784 

45 

i5 

2975 

3028 

3o8i 

3i34 

3187 

3240 

44 

i5 

i836 

1887 

1939 

1991 

2043 

2094  44  1 

i6 

3293 

3346 

3400 

3453 

35o6 

3559 

43 

16 

2i46 

2198 

2249 

23oi 

2353 

24o5 

43 

17 

36i2 

3665 

3718 

3771 

3824 

3877 

42 

17 

2456 

25o8 

256o 

26II 

2663 

2715 

42 

18 

3930 

3983 

4o36 

4089 

4 1 42 

4195 

4i 

18 

2766 

2818 

2870 

2921 

2973 

3o25 

4i 

19 

4248 

43oi 

4354 

4407 

4460 

45i3 

40 

19 

3076 

3i28 

3x79 

323i 

3283 

3334 

4o 

20 

9.694566 

4619 

4672 

4724 

4777 

483o 

39 

20 

9.713386 

3438 

3489 

3541 

3592 

3644 

39 

21 

4883 

4936 

4989 

5o42 

5095 

5i48 

38 

21 

3696 

3747 

3799 

385o 

3902 

3954 

38 

22 

6201 

5254 

5307 

536o 

5412 

5465 

37 

22 

4oo5 

4o57 

4io8 

4i6o 

421 1 

4263 

37 

23 

55i8 

5571 

5624 

5677 

5730 

5783 

36 

23 

43i4 

4366 

4418 

4469 

4521 

4572 

36 

24 

5836 

5888 

5941 

5994 

6047 

6100 

35 

24 

4624 

4675 

4727 

4778 

483o 

4881 

35 

25 

6i53 

6206 

6258 

63ii 

6364 

64i7 

34 

25 

4933 

4984 

5o36 

5087 

5i39 

5190 

34 

26 

6470 

6522 

6575 

6628 

6681 

6734 

33 

26 

5242 

5293 

5345 

5396 

5448 

5499 

33 

27 

6787 

6839 

6892 

6945 

6998 

7o5o 

32 

27 

555i 

56o2 

5654 

5705 

5757 

58o8 

32 

28 

7103 

7i56 

7209 

7262 

73 1 4 

7367 

3i 

28 

586o 

5911 

5962 

6oi4 

6o65 

6117 

3i 

29 

7420 

7473 

7525 

7578 

763i 

7684 

3o 

29 

6168 

6220 

6271 

6322 

6374 

6425 

3o 

3o 

9.697736 

7789 

7824 

7894 

7947 

8000 

29 

3o 

9.716477 

6528 

6579 

663i 

6682 

6734 

29 

3i 

8o53 

8io5 

8i58 

8211 

8263 

83i6 

28 

3i 

6785 

6836 

6888 

6939 

6991 

7042 

28 

32 

8369 

842  1 

8474 

8527 

8579 

8632 

27 

32 

7093 

7145 

7196 

7247 

7299 

7350 

27 

33 

8685 

8737 

8790 

8843 

8895 

8948 

26 

33 

7401 

7453 

75o4 

7555 

7607 

7658 

26 

34 

9001 

9053 

9106 

9159 

921 1 

9264 

25 

34 

7709 

7761 

7812 

7863 

79i5 

7966 

25 

35 

9316 

9369 

9422 

9474 

9527 

9579 

24 

35 

8017 

8069 

8120 

8171 

8223 

8274 

24 

36 

9632 

9685 

9737 

9790 

9842 

9895 

23 

36 

8325 

8376 

8428 

8479 

853o 

858i 

23 

37 

9947 

.  .  .  . 

..53 

.  io5 

.i58 

.210 

22 

37 

8633 

8684 

8735 

8786 

8838 

8889 

22 

38 

g. 700263 

o3i5 

o368 

0420 

0473 

o525 

21 

38 

8940 

8991 

9043 

9094 

9145 

9196 

21 

39 

0578 

o63o 

o683 

0736 

0788 

o84i 

20 

39 

9248 

9299 

9350 

9401 

9452 

95o4 

20 

4o 

9.700893 

0946 

0998 

io5i 

I  io3 

ii55 

19 

40 

9.719555 

9606 

9657 

9708 

9760 

9811 

19 

4i 

1208 

1260 

i3i3 

1 365 

i4i8 

1470 

18 

4i 

9862 

99i3 

9964 

..16 

..67 

.118 

18 

42 

i523 

1575 

1628 

1680 

1733 

1785 

17 

42 

9.720169 

0220 

0271 

0322 

0374 

o425 

17 

43 

1837 

1890 

1942 

1995 

2047 

2100 

16 

43 

0476 

o527 

0578 

0629 

0680 

0732 

16 

44 

2l52 

2204 

2257 

2309 

2362 

24i4 

i5 

44 

0783 

o834 

o885 

0936 

0987 

io38 

i5 

45 

2466 

25i9 

2571 

2623 

2676 

2728 

i4 

45 

1089 

ii4o 

1191 

1243 

1294 

i345 

i4 

46 

2781 

2833 

2885 

2938 

2990 

3o42 

i3 

46 

1396 

1447 

1498 

i549 

1600 

i65i 

i3 

47 

3095 

3i47 

3199 

3252 

33o4 

3356 

12 

47 

1702 

1753 

1804 

i855 

1906  1957 

12 

48 

3409 

346i 

35i3 

3566 

36i8 

3670  II 

48 

2009 

2060 

211 1 

2162 

22l3  2264 

II 

49 

3722 

3775 

3827 

3879 

3932 

3984  10 

49 

23i5 

2366 

2417 

2468 

25i9 

2570 

10 

5o 

9.704036 

4088 

4i4i 

4193 

4245 

4297 

9 

5o 

9.722621 

2672 

2723 

2774 

2825 

2876 

9 

5i 

435o 

44o2 

4454 

45o6 

4559 

46ii 

8 

5i 

2927 

2978 

3029 

3o8o 

3i3o 

3i8i 

8 

52 

4663 

47i5 

4768 

4820 

4872 

4924 

7 

52 

3232 

3283 

3334 

3385 

3436 

3487 

7 

53 

4976 

5029 

5o8i 

5i33 

5i85 

5237 

6 

53 

3538 

3589 

364o 

3691 

3742 

3793 

6 

'  54 

52go 

5342 

5394 

5446 

5498 

555i 

5 

54 

3844 

3895 

3945 

3996 

4o47 

4098 

5 

55 

56o3 

5655 

5707 

5759 

58ii 

5863 

4 

55 

4i49 

4200 

425l 

43o2 

4353 

44o3 

4 

56 

5916 

5968 

6020 

6072 

6124 

6176 

3 

56 

4454 

45o5 

4556 

4607 

4658 

4709 

3 

15? 

6228 

6280 

6333 

6385 

6437 

6489 

2 

57 

4760 

4810 

4861 

4912 

4963 

5oi4 

2 

'  58 

654i 

6593 

6645 

6607 

6749 

6801 

I 

58 

5o65  5ii5 

5i66 

5217 

5268 

5319 

I 

[59 

6854 

69o6'6958  7010 

7062 

7114 

0 

59 

5370  5420 

5471 

5522 

5573 

5624 

0 

60" 

50"   40"   30"  1  20"  1  10" 

d 

60"     50"  1  40" 

30" 

20" 

10" 

c 
§ 

Co-tangent  of  63  Degrees. 

Co-tangent  of  62  Degrees. 

p  „  J  1"  2"  3"  4"  5"  6"  7"  8"  9" 
f.  rart  ^5  jj  ^g  2^  2g  gg  g^  ^3  ^^ 

p  p  Jl"  2"  3"  4"  5"  6"  7"  8"  9" 
y.  rart  ^  ^  ^^  jg  ^l    26  31  36  41  46 

52 


Logarithmic   Sines. 


d 

Sine  of  28  Degrees. 

d 

Sine  of  29  Degrees. 

0" 

10" 

20" 

30"   40"  1  50" 

0" 

10" 

20" 

30" 

40"  1  50"  1 

o 

9.671609 

1847 

1649 

1688 

1728 

1768  1807 

59 

0 

9.685571 

5609 

5647 

5685 

5723 

5761 

59 

I 

1886 

1926 

1965 

2005 

2045 

58 

I 

5799 

5837 

5875 

5913 

5951 

5989 

58 

2 

2084 

2124 

2i63 

2203 

2242  2282 

57 

2 

6027 

6o65 

6io3 

6i4i 

6178 

6216 

57 

3 

2321 

236ij24oo 

2440 

2479:2519 

56 

3 

6254 

6292 

633o 

6368 

64o6 

6444 

56 

4 

2558 

2598 

2637 

2677 

2716  2756 

55 

4 

6482 

65i9 

6557 

6595 

6633 

6671 

55 

5 

2795 

2835 

2874 

2914 

2953  2992 

54 

5 

6709 

6747 

6785 

6822 

6860 

6898 

54 

6 

3o32 

3071 

3in 

3i5o 

0     1 

3190 

3229 

53 

6 

6936 

6974 

7012 

7049 

7087 

7125 

53 

7 

3268 

33o8 

3347 

3387 

3426 

3465 

52 

7 

7163 

7201 

7238 

7276 

73i4 

7352 

52 

8 

35o5 

3544 

3583 

3623 

3662 

3702 

5i 

8 

7389 

7427 

7465 

75o3 

7541 

7578 

5i 

Q 

3741 

3780 

3820 

3859 

3898 

3938 

5o 

9 

7616 

7654 

7692 

7729 

7767 

7805 

5o 

7 

10 

9.673977 

4oi6 

4o56 

4095 

41344173 

49 

10 

9.687843 

7880 

7918 

7956 

7993 

8o3i 

49 

1 1 

42l3 

4252 

4291 

433i 

437o'44o9 

48 

II 

8069 

8106 

8i44 

8182 

8220 

8257 

48 

12 

4448 

4488 

4527 

4566 

46o6!4645 

47 

12 

8295 

8333 

8370 

84o8 

8446 

8483 

47 

i3 

4684 

4723 

4762  4802 

484i'488o 

46 

i3 

8521 

8559 

8596 

8634 

8671 

8709 

46 

i4 

4919 

4959 

4998 

5o37 

5o76:5i  i5 

45 

i4 

8747 

8784 

8822 

8860 

8897 

8935 

45 

i5 

5i55 

5194 

5233 

5272 

53i  I  535o 

44 

i5 

8972 

9010 

9048 

9085 

9123 

9160 

44 

i6 

5390 

5429 

5468 

55o7 

5546:5585 

43 

16 

9198 

9235 

9273 

931 1 

9348 

9386 

43 

'7 

5624 

5664 

5703 

5742 

5781  5820 

42 

17 

9423 

9461 

9498 

9536 

9573 

961 1 

42 

i8 

5859 

5898 

5937 

5976 

6oi6^6o55 

4i 

18 

9648 

9686 

9723 

9761 

9798 

9836 

4i 

'9 

6094 

6i33 

6172 

6211 

625016289 

4o 

19 

9873 

9911 

9948 

9986 

..23 

..61 

4o 

/ 

20 

9.676328 

6367 

64o6 

6445 

6484:6523 

39 

20 

9.690098 

oi36 

0173 

021 1 

0248 

0286 

39 

21 

6562 

6601 

664o 

6679 

6718:6757 

38 

21 

o323 

o36i 

0398 

0435 

0473 

o5io 

38 

22 

6796 

6835 

6874 

6913 

6952  6991 

37 

22 

o548 

o585 

0622 

0660 

0697 

0735 

37 

23 

7o3o 

7069 

7108 

7147 

7186  7225 

36 

23 

0772 

0809 

0847 

0884 

0922 

0959 

36 

24 

7264 

73o3 

7342 

7381 

7420  7459 

35 

24 

0996 

io34 

1071 

1108 

ii46 

ii83 

35 

25 

7498 

7536 

7575 

7614 

765317692 

34 

25 

1220 

1258 

1295 

i332 

1370 

i4o7 

34 

26 

7731 

7770 

7809 

7848 

78867925 

33 

26 

1 444 

1482 

i5i9 

i556 

1594 

i63i 

33 

27 

7964 

8oo3 

8042 

8081 

8i2o!8i58 

32 

27 

1668 

1706 

1743 

1780 

1817 

i855 

32 

28 

8197 

8236 

8275 

83i4 

8353 

8391 

3i 

28 

1892 

1929 

1966 

2004 

204l 

2078 

3i 

29 

843o 

8469 

85o8 

8547 

8585 

8624 

3o 

29 

21l5 

2i53 

2190 

2227 

2264 

2302 

3o 

3o 

9.678663 

8702 

8740 

8779 

8818 

8857 

29 

3o 

9.692339 

2376 

24i3 

245o 

2488 

2525I29 

3i 

8895 

8934 

8973 

9012 

go5o  9089 

28 

3i 

2562 

2599 

2636 

2674 

271 1 

2748   ^ 

28 

32 

9128 

9167 

9205 

9244 

9283  9321 

27 

32 

2785 

2822 

2859 

2897 

2934 

2971 

27 

33 

9360 

9399 

9438 

9476 

9515:9554 

26 

33 

3oo8 

3o45 

3o82 

3II9 

3i57 

3194 

26 

34 

9592 

9631 

9670 

9708 

974719786 

25 

34 

323i 

3268 

33o5 

3342 

3379 

3416 

25 

35 

9824 

9863 

9902 

9940 

99791. .17 

24 

35 

3453 

3490 

3528 

3565 

36o2 

3639 

24 

36 

9.68oo56 

0095 

oi33 

0172 

0210  0249 

23 

36 

3676 

3713 

3750 

3787 

3824 

386i 

23 

37 

0288 

o326|o365 

o4o3 

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22 

37 

3898 

3935 

3972 

4009 

4o46 

4o83 

22 

38 

o5i9 

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0596 

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21 

38 

4l20 

4i57 

4194 

423i 

4268 

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21 

39 

0750 

0789 

0828 

0866 

0905  0943 

20 

39 

4342 

4379 

4416 

4453 

4490 

4527 

20 

4o 

9.680982 

1020 

1059 

1097 

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19 

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9.694564 

4601 

4638 

4675 

4712 

4749 

19  . 

4i 

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1290 

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18 

4i 

4786 

4823 

486o 

4897 

4934 

4971 

18 

42 

i443 

1482 

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1559 

1597 

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17 

42 

5oo7 

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5i55 

5192 

17 

43 

1674 

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1828 

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16 

43 

5229 

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44 

1905 

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44 

545o 

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5524 

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5598 

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45 

2i35 

2173 

2212 

225o 

2288 

2327 

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5671 

5708 

5745 

5782 

5819 

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2365 

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2480 

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6039 

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2595 

2633 

2672 

2710 

2748 

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12 

47 

6ii3 

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6187 

6223 

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12 

48 

2825 

2863 

2902 

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49 

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3208 

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6554 

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6701 

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9.683284 

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336i 

3399 

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9.696775 

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5i 

35i4 

3552 

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3628 

3667 

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52 

3743 

3781 

3819 

3858 

3896 

3934 

7 

52 

72i5 

725i 

7288 

7325 

7361 

7398 

7 

53 

3972 

4oio 

4o48 

4087 

4l25 

4i63 

6 

53 

7435 

7471 

75o8 

7545 

7581 

7618 

6 

54 

4201 

4239 

14277 

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4353 

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5 

54 

7654 

7691 

7728 

7764 

7801 

7838 

5 

55 

443o 

4468 

i45o6 

4544 

4582 

4620 

4 

55 

7874 

7911 

7947 

7984 

8020 

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4 

56 

4658 

4696 

4735 

4773 

48ii 

4849 

3 

56 

8094 

8i3o 

8167 

8203 

8240 

8276 

3 

57 

4887 

4925 

4963 

5ooi 

5o39 

5o77 

2 

57 

83i3 

8349 

8386 

8423 

8459 

849O 

2 

58 

5ii55i53 

5191 

5229 

5267 

53o5 

I 

58 

8532 

8569 

86o5 

8642 

8678 

8715 

I 

59 

53435381 

5419 

5457 

5495 

5533 

0 

59 

8751  8788 

L 

8824 

8861 

8_8_97 

8934 

0 

60"     50" 

40" 

30" 

20"  I  10" 

s 

60"     50' 

1  40" 

30" 

20" 

10" 

Co-sine  of  61  Degrees. 

Co-sine  of  60  Degrees. 

P  P  , J  1"  2'  3"  4"  5"  6"  7"  8"  9" 
""(4  8  12  16  19  23  27  31  35 

P. 

„  J  1"  2"  3"  4 '  5"  6"  7"  8"  9 ' 
t^art  ^  ^  ^  11  15  19  22  26  30  33 

Logarithmic  ' 

Tangents. 

53 

fl" 

Tangent  of  28  Degrees. 

a 

Tangent  of  29  Degrees. 

0"    1  10" 

20" 

30" 

40" 

50" 

0" 

10" 

20" 

30" 

40" 

50" 

0 

9.725674 

5725 

5776 

5827 

5878 

592859 

0 

9.743752 

38o2 

385i 

3901 

3951 

4ooo 

59 

I 

5979 

6o3o 

6081 

6i3i 

6x82 

6233:58 

I 

4o5o 

4099 

4x49 

4199 

4248 

4298 

58 

2 

6284 

6334 

6385 

6436 

6487 

653757 

2 

4348 

4397 

4447 

4496 

4546 

4596 

57 

3 

6588 

6639 

6690 

6740 

6791 

6842  56 

3 

4645 

4695 

4744 

4794 

4844 

4893 

56 

4 

6892 

6943 

6994 

7045 

7095 

7x46  55 

4 

4943 

4992 

5o42 

5092 

5x4i 

5x91 

55 

5 

7197 

7247 

7298 

7349 

7399 

745o  54 

5 

5240 

5290 

5339 

5389 

5439 

5488 

54 

6 

75oi 

755i 

7602 

7653 

7703 

775453 

6 

5538 

5587 

5637 

5686 

5736 

5785 

53 

7 

7805 

7855 

7906 

7957 

8007 

8o58  52 

7 

5835 

5884 

5934 

5983 

6o33 

6082 

52 

8 

8109 

8i59 

8210 

8261 

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8362 

5i 

8 

6i32 

6182 

623i 

6281 

633o 

638o 

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9 

84l2 

8463 

85i4 

8564 

86x5 

866550 

9 

6429 

6479 

6528 

6577 

6627 

6676 

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10 

9.728716 

8767 

8817 

8868 

89x8 

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10 

9.746726 

6775 

6825 

6874 

6924 

6973  49 

II 

9020 

9070 

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9171 

9222 

9272  48 

II 

7023 

7072 

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722X 

7270 

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12 

9323 

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9424 

9475 

9525 

9576 

47 

12 

7319 

7369 

7418 

7468 

7517 

7567 

47 

i3 

9626 

9677 

9727 

9778 

9828 

9879 

46 

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76x6 

7665 

77x5 

7764 

7814 

7863 

46 

i4 

9929 

9980 

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..81 

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45 

i4 

79x3 

7962 

8011 

8061 

8110 

8160 

45 

i5 

9.730233 

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8209 

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16 

85o5 

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43 

17 

o838 

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xo4o 

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42 

17 

880X 

885x 

8900 

8949 

8999 

9048 

42 

18 

I  i4i 

1191 

1242 

1292 

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1393 

4i 

18 

9097 

9x47 

9196 

9245 

9295 

9344 

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1 444 

1494 

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1595 

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19 

9393 

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9492 

9541 

9591 

9640 

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20 

9.731746 

1796 

1847 

1897 

1948 

X998 

39 

20 

9.749689 

9739 

9788 

9837 

9886 

9936 

39 

21 

2048 

2099 

2149 

2200 

225o 

23oo 

38 

21 

9985 

..34 

..84 

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.182 

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38 

22 

235i 

24oi 

245l 

2502 

2552 

2602 

37 

22 

9.750281 

o33o 

0379 

0428 

0478 

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37 

23 

2653 

2703 

2753 

2804 

2854 

2904 

36 

23 

0576 

0625 

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0724 

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0822 

36 

24 

2955 

3oo5 

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3x56 

3206 

35 

24 

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0921 

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1019 

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11x8 

35 

25 

3257 

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3357 

3408 

3458 

35o8 

34 

25 

1167 

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34 

26 

3558 

3609 

3659 

3709 

3760 

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33 

26 

1462 

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x6io 

1659 

1708 

33 

27 

386o 

3910 

3961 

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4o6x 

4x  II 

32 

27 

1757 

1806 

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1905 

1954 

20o3 

32 

28 

4162 

4212 

4262 

43l2 

4363 

44x3 

3i 

28 

2052 

2101 

2x5x 

2200 

2249 

2298 

3x 

29 

4463 

45i3 

4564 

46x4 

4664 

4714 

3o 

29 

2347 

2396 

2446 

2495 

2544 

2593 

3o 

3o 

9.734764 

48i5 

4865 

4915 

4965 

5oi5 

29 

3o 

9. 752642 

269X 

2740 

2789 

2839 

2888 

29 

3i 

5o66 

5ii6 

5i66 

52x6 

5266 

53i7 

28 

3i 

2937 

2986 

3o35 

3o84 

3x33 

3182 

28 

32 

5367 

5417 

5467 

55x7 

5567 

56x8 

27 

32 

323x 

3280 

333o 

3379 

3428 

3477 

27 

33 

5668 

5718 

5768 

58x8 

5868 

59x8 

26 

33 

3526 

3575 

3624 

3673 

3722 

3771 

26 

34 

5969 

6019 

6069 

61x9 

6x69 

62x9 

25 

34 

3820 

3869 

39x8 

3967 

4oi6 

4066 

25 

35 

6269 

63i9 

6370 

6420 

6470 

6520 

24 

35 

4xi5 

4i64 

42x3 

4262 

43x1 

436o 

24 

36 

6570 

6620 

6670 

6720 

6770 

6820 

23 

36 

4409 

4458 

4507 

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23 

37 

6870 

6921 

6971 

702X 

7071 

712X 

22 

37 

4703 

4752 

48ox 

485o 

4899 

4948 

22 

38 

7171 

7221 

7271 

732X 

7371 

742  X 

21 

38 

4997 

5o46 

5095 

5x44 

5193 

5242 

21 

39 

7471 

7521 

7571 

7621 

767X 

7721 

20 

39 

529X 

5340 

5389 

5438 

5487 

5536 

20 

4o 

9.737771 

7821 

7871 

792X 

7971 

8021 

19 

4o 

9.755585 

5634 

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5731 

5780 

5829 

19 

4i 

8071 

8121 

8171 

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827X 

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18 

4i 

5878 

5927 

5976 

6025 

6074 

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42 

8371 

8421 

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857X 

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17 

42 

6172 

6221 

6270 

63x9 

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17 

43 

8671 

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8871 

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16 

43 

6465 

65i4 

6563 

66x2 

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44 

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44 

6759 

6808 

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6905 

6954 

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45 

9271 

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9420 

9470 

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45 

7o52 

7101 

7i5o 

7199 

7247 

7296 

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46 

9570 

9620 

9670 

9720 

9770 

9820 

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46 

7345 

7394 

7443 

7492 

7541 

7589 

x3 

47 

9870 

9920 

9969 

..X9 

..69 

.119 

12 

47 

7638 

7687 

7736 

7785 

7834 

7882 

12 

48 

9.740169 

0219 

0269 

o3x9 

o368 

o4i8 

II 

48 

793x 

7980 

8029 

8078 

8127 

8x75 

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49 

o468 

o5i8 

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0618 

0668 

07x7 

xo 

49 

8224 

8273 

8322 

8371 

8419 

8468 

xo 

5o 

9.740767 

0817 

0867 

09x7 

0967 

xox6 

9 

5o 

9.7585x7 

8566 

86i5 

8663 

87x2 

876X 

9 

5i 

1066 

1 1 16 

1166 

12X6 

X265 

x3x5 

8 

5i 

8810 

8858 

8907 

8956 

9005 

9053 

8 

52 

i365 

i4i5 

i465 

x5x4 

x564 

i6i4 

7 

52 

9x02 

9i5x 

9200 

9248 

9297 

9346 

7 

53 

1664 

1714 

1763 

x8x3 

x863 

X913 

6 

53 

9395 

9443 

9492 

9541 

9590 

9638 

6 

54 

1962 

2012 

2062 

21  12 

2x6x 

221  I 

5 

54 

9687 

9736 

9785 

9833 

9882 

993x 

5 

55 

2261 

23ll 

236o 

24X0 

2460 

25X0 

4 

55 

9979 

..28 

••77 

.  126 

.174 

.223 

4 

56 

2559 

2609 

2659 

2709 

2758 

2808 

3 

56 

9.760272 

0320 

0369 

o4i8 

o466 

o5i5 

3 

57 

2858 

2907 

2957 

3007 

3o56 

3io6 

2 

57 

o564 

06x2 

o66x 

0710 

0758 

0807 

2 

58 

3x56 

3206 

3255 

33o5 

3355 

34o4 

I 

58 

o856 

ogo4 

0953 

X002 

io5o 

X099 

X 

59 

3454 

35o4 

3553 

36o3 

3653 

3702 

0 

59 

xi48 

XX96 

1245 

X293 

x342ix39i 

0 

60"     50"  1  40" 

30"  1  20"  1  10" 

s 

60" 

50" 

40" 

30" 

20"  10" 

a 

ii 

Co-tangent  of  61  Degrees. 

Co-tangent  of  60  Degrees. 

p  p„,,  \  V   2"  3"  4"  5"  6"  7"  8"  9" 
^•'^^''"(5  10  15  20  25  30  35  40  45 

„  „   (1"  2"  3"  4"  5"  6"  7"  8"  9" 
P.  Part  j  5  jQ  ^g  2Q  25  29  34  39  44 

54 

Logarithmic  Sines. 

Sine  of  30  Degrees. 

Sine  of  31  Degrees. 

0" 

10" 

20" 

30" 

40" 

50" 

0" 

10" 

20"   30" 

40" 

50" 

o 

9.698970 

9006 

9043 

9079 

9I16 

9152 

59 

0 

9.711839 

1874 

1909 

1944 

1979 

20l4 

59 

I 

9189 

9225 

9262 

929S 

9334 

9371 

58 

1 

2o5o 

2o85 

2120 

2i55 

2190 

2225 

58 

2 

9407 

9444 

9480 

9517 

9553 

9589 

57 

2 

2260 

2295 

233o 

2365 

2400 

2434 

57 

3 

9626 

9662 

9699 

9735 

9771 

9808 

56 

3 

2469 

25o4 

2539 

2574 

2609 

2644 

56 

4 

9844 

9880 

9917 

9953 

9990 

..26 

55 

4 

2679 

2714 

2749 

2784 

2819 

2854 

55 

5 

g. 700062 

0099 

oi35 

0171 

0208 

0244 

54 

5 

2889 

2924 

2959 

2994 

3029 

3o63 

54 

6 

0280 

o3i7 

o353 

0389 

o425 

0462 

53 

6 

3098 

3i33 

3i68 

32o3 

3238 

3273 

53 

7 

0498 

o534 

0571 

0607 

0643 

0680 

52 

7 

33o8 

3343 

3377 

3412 

3447 

3482 

52 

8 

0716 

0752 

0788 

0825 

0861 

0897 

5i 

8 

35i7 

3552 

3587 

3621 

3656 

3691 

5i 

9 

lO 

0933 

0970 

1006 

1042 

1078 

1 1 15 

5o 

9 

3726 

3761 

3796 

383o 

3865 

3900 

5o 

9.701 i5i 

1187 

1223 

1259 

1296 

i332 

49 

10 

9.713935 

3970 

4oo5 

4039 

4074 

4109 

49 

II 

i368 

i4o4 

i44o 

1477 

i5i3 

1 549 

48 

II 

4i44 

4179 

42l3 

4248 

4283 

43i8 

48 

12 

i585 

1621 

i658 

1694 

1730 

1766 

47 

12 

4352 

4387 

4422 

4457 

4491 

4526 

47 

i3 

1802 

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1874 

1911 

1947 

1983 

46 

i3 

456i 

4596 

463o 

4665 

4700 

4735 

46 

i4 

2019 

2o55 

2091 

2127 

2164 

2200 

45 

i4 

4769 

48o4 

4839 

4873 

4908 

4943 

45 

i5 

2236 

2272 

23o8 

2  344 

238o 

2416 

44 

i5 

4978 

5oi2 

5o47 

5082 

5ii6 

5i5i 

44 

i6 

2452 

2488 

2524 

256i 

2597 

2633 

43 

16 

5i86 

5220 

5255 

5290 

5324 

5359 

43 

'7 

2669 

2705 

2741 

2777 

28i3 

2849 

42 

17 

5394 

5428 

5463 

5498 

5532 

5567 

42 

i8 

2885 

2921 

2957 

2993 

3029 

3o65 

4i 

18 

56o2 

5636 

5671 

5705 

5740 

5775 

4i 

'9 

3ioi 

3i37 

3173 

3209 

3245 

3281 

4o 

19 

5809 

5844 

5878 

5913 

5948 

5982 

4o 

20 

9.703317 

3353 

3389 

3425 

3461 

3497 

39 

20 

9. 716017 

6o5i 

6086 

6121 

6i55 

6190 

39 

21 

3533 

3569 

36o5 

364i 

3677 

3713 

38 

21 

6224 

6259 

6293 

6328 

6362 

6397 

38 

22 

3749 

3784 

3820 

3856 

3892 

3928 

37 

22 

6432 

6455 

65oi 

6535 

6570 

6604 

37 

23 

3964 

4ooo 

4o36 

4072 

4io8 

4i44 

36 

23 

6639 

6673 

6708 

6742 

6777 

6811 

36 

24 

4179 

42 1 5 

425l 

4287 

4323 

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35 

24 

6846 

6880 

6915 

6949 

6984 

7018 

35 

25 

4395 

443i 

4466 

45o2 

4538 

4574 

34 

25 

7o53 

7087 

7122 

7i56 

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7225 

34 

26 

4610 

4646 

4682 

4717 

4753 

4789 

33 

26 

7259 

7294 

7328 

7363 

7397 

7432 

33 

27 

4825 

4861 

4896 

4932 

4968 

5oo4 

32 

27 

7466 

7500 

7535 

7569 

7604 

7638 

32 

28 

5o4o 

5075 

5i  II 

5i47 

5i83 

5219 

3i 

28 

7673 

7707 

7741 

7776 

7810 

7844 

3i 

29 

5254 

5290 

5326 

5362 

5397 

5433 

3o 

29 

7879 

7913 

7948 

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8016 

8o5i 

3o 

3o 

9.705469 

55o5 

5540 

5576 

56i2 

5648 

29 

3o 

9.718085 

8119 

8i54 

8188 

8223|8257 

29 

3i 

5683 

5719 

5755 

5790 

5826 

5862 

28 

3i 

8291 

8326 

836o 

8394 

8429 

8463 

28 

32 

5898 

5933 

5969 

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6076 

27 

32 

8497 

853i 

8566 

8600 

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27 

33 

61 12 

6147 

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6254 

6290 

26 

33 

8703 

8737 

8772 

8806 

88408874 

26 

34 

6326 

636i 

6397 

6433 

6468 

65o4 

25 

34 

8909 

8943 

8977 

901 1 

9046  9080 

25 

35 

6539 

6575 

6611 

6646 

6682 

6718 

24 

35 

9114 

9148 

91S3 

9217 

925i|9285 

24 

36 

6753 

6789 

6824 

6860 

6895 

6931 

23 

36 

9320 

9354 

9388 

9422 

9456 

9491 

23 

37 

6967 

7002 

7o38 

7073 

7109 

7145 

22 

37 

9525 

9559 

9593 

9627 

9662 

9696 

22 

38 

7180 

7216 

725i 

7287 

7322 

7358 

21 

38 

9730 

9764 

9798 

9833 

9867 

9901 

21 

39 

7393 

7429 

7464 

75oo 

7535 

7571 

20 

39 

9935 

9969 

...3 

..38 

..72 

.  106 

20 

4o 

9.707606 

7642 

7677 

7713 

7748 

7784 

■9 

4o 

9. 720140 

0174 

0208 

0242 

0276 

o3i  1 

'9 

4i 

7819 

7855 

7890 

7926 

7961 

7997 

18 

4i 

o345 

0379 

o4i3 

o447 

o48i 

o5i5 

18 

42 

8o32 

8068 

8io3 

8139 

8174 

8210 

17 

42 

o549 

o583 

0617 

o652 

0686 

0720 

17 

43 

8245 

8280 

83i6 

835i 

8387 

8422 

16 

43 

0754 

0788 

0822 

o856 

0890 

0924 

16 

44 

8458 

8493 

8528 

8564 

8599 

8635 

i5 

44 

0958 

0992 

1026 

1060 

1094 

1128 

i5 

45 

8670 

8705 

8741 

8776 

8811 

8847 

i4 

45 

1 162 

1 196 

1230 

1264 

1298 

i332 

i4 

46 

8882 

8918 

8953 

8988 

9024 

9059 

]3 

46 

i366 

i4oo 

1434 

i468 

l502 

i536 

i3 

47 

9094 

9i3o 

9165 

9200 

9236 

9271 

12 

47 

1570 

i6o4 

i638 

1672 

1706 

1740 

12 

48 

9306 

9342 

9377 

9412 

9448 

9483 

1 1 

48 

1774 

1808 

1842 

1876 

I9I0 

1944 

1 1 

49 

9518 

9553 

9589 

9624 

9659 

9695 

10 

49 

1978 

2012 

2o46 

2080 

21  i4 

2i48 

10 

5o 

9.709730 

9765 

9800 

9836 

9871 

9906 

9 

5o 

9.722181 

22l5 

2249 

2283 

23i7 

235i 

9 

5i 

9941 

9977 

.  .  12 

..47 

..82 

.118 

8 

5i 

2385 

2419 

2453 

2487 

2520 

2554 

8 

52 

9.710153 

0188 

0223 

0259 

0294 

0329 

7 

52 

2588 

2622 

2656 

2690 

2724 

2757 

7 

53 

o364 

0399 

0435 

0470 

o5o5 

o54o 

6 

53 

2791 

2825 

2859 

2893 

2927 

2960 

6 

54 

0575 

061 1 

o646 

0681 

0716 

0751 

5 

54 

2994 

3o28 

3o62 

3096 

3i3o 

3i63 

5 

55 

0786 

0822 

0857 

0892 

0927 

0962 

4 

55 

3197 

323i 

3265 

3299 

3332 

3366 

4 

56 

0997 

I032 

1067 

I  io3 

ii38 

1173 

3 

56 

3400 

3434 

3468 

35oi 

3535 

3569 

3 

57 

1208 

1243 

1278 

i3i3 

1 348 

i383 

2 

57 

36o3 

3636 

3670 

3704 

3738 

3771 

2 

58 

1419 

1454 

1489 

l524 

i559 

1594 

I 

58 

38o5 

3839 

3873 

3906 

3940 

3974 

I 

59 

1629 

i664 

1699 

1734 

1769 

i8o4 

0 

59 

4007 

4o4i 

4075 

4109 

4i42 
"20" 

4176 

0 

60" 

50" 

40" 

30" 

20"  1  10" 

60" 

50" 

40" 

30" 

10" 

d 

Co-sine  of  59  Degrees. 

Co-sine  of  58  Degrees. 

„  „  J  1"  2"  3"  4"  5"  6"  7"  8"  9" 
f.iart^^  7  11  14  18  21  25  29  32 

p  p  J  1"  2"  3"  4"  5"  6"  7"  8"  9" 
r.Jr-art^  3  7  10  14  17  21  24  27  81 

Logarithmic 

Tangents 

• 

55 

Tano^ent  of  30  Degrees. 

■| 

Tangent  of  31  Degrees. 

0" 

10" 

20" 

30"  1  40" 

50" 

0" 

10" 

20" 

30" 

40" 

50" 

0 

9.761439 

i488 

1537 

i585 

i634 

1682 

59 

0 

9.778774 

«82I 

8869 

8917 

8964 

9012 

59 

I 

1731 

1780 

1828 

1877 

1925 

1974 

58 

I 

9060 

9108 

9155 

9203 

925i 

9298 

58 

2 

2023 

2071 

2120 

2168 

2217 

2266 

57 

2 

9346 

9394 

9441 

9489 

9537 

9584 

57 

3 

23x4 

2363 

24ll 

2460 

25o8 

2557 

56 

3 

9632 

9679 

9727 

9775 

9822 

9870 

56 

4 

2606 

2654 

2703 

2751 

2800 

2848 

55 

4 

9918 

9965 

..i3 

..61 

.  108 

.x56 

55 

5 

2897 

2945 

2994 

3o43 

3091 

3x4o 

54 

I  5 

9.780203 

025l 

0299 

o346 

0394 

o44i 

54 

6 

3i88 

3237 

3285 

3334 

3382 

343i 

53 

1  6 

0489 

0537 

o584 

o632 

0679 

0727 

53 

7 

3479 

3528 

3576 

3625 

3673 

3722 

52 

7 

0775 

0822 

0870 

0917 

0965 

ioi3 

52 

8 

3770 

3819 

3867 

3916 

3964 

4oi3 

5i 

8 

1060 

XI08 

ii55 

X203 

X25o 

1298 

5i 

9 

4o6i 

4iio 

4i58 

4207 

4255 

43o4 

5o 

9 

1 346 

1393 

i44i 

i488 

x536 

i583 

5o 

lO 

9.764352 

44oo 

4449I4497 

4546 

4594 

49 

10 

9.781631I1678 

1726 

1774 

1821 

1869 

49 

II 

4643 

4691 

4740 

4788 

4836 

4885 

48 

X  I 

19x6 

1964 

2011 

2059 

2106 

2i54 

48 

12 

4933 

4982 

5o3o 

5o79 

5x27 

5x75 

47 

12 

220X 

2249 

2296 

2344 

2391 

2439 

47 

i3 

5224 

5272 

5321 

5369 

5418 

5466 

46 

i3 

2486 

2534 

258x 

2629 

2676 

2724 

46 

i4 

55i4 

5563 

5Sii 

566o 

5708 

5756 

45 

i4 

2771 

2819 

2866 

2914 

2961 

3009 

45 

i5 

58o5 

5853 

5901 

5950 

5998 

6047 

44 

i5 

3o56 

3io4 

3i5x 

3x99 

3246 

3294 

44 

i6 

6095 

6i43|6i92 

6240 

6288 

6337 

43 

x6 

3341 

3388 

3436 

3483 

353i 

3578 

43 

17 

6385 

6433|6482 

653o 

6578 

6627 

42 

17 

3626 

3673 

3721 

3768 

38i6 

3863 

42 

18 

6675 

6723  6772 

6820 

6868 

6917 

4i 

18 

3910 

3958 

4oo5 

4o53 

4ioo 

4i48 

4i 

19 

6965 

70i3 

7062 

7110 

7i58 

7207 

4o 

19 

4195 

4242 

4290 

4337 

4385 

4432 

4o 

20 

9.767255 

73o3 

7352 

7400 

7448 

7496 

39 

20 

9.784479 

4527 

4574 

4622 

4669 

4716 

39 

21 

7545 

7593 

7641 

7690 

7738 

7786 

38 

21 

4764 

48ii 

4859 

4906 

4953 

5ooi 

38 

22 

7334 

7883 

7931 

7979 

8027 

8076 

37 

22 

5o48 

5095 

5i43 

5x90 

5238 

5285 

37 

23 

8124 

8172 

8221 

8269 

83i7 

8365 

36 

23 

5332 

538o 

5427 

5474 

5522 

5569 

36 

24 

84i4 

8462 

85io 

8558 

8606 

8655 

35 

24 

56x6  5664 

57X  X 

5758 

58o6 

5853 

35 

25 

8703 

8751 

8799 

8848 

8896 

8944 

34 

25 

5900  5948,5995 

6042 

6090 

6x37 

34 

26 

8992 

9040 

9089 

9137 

9185 

9233 

33 

26 

6i84j6232j6279 

6326 

6374  6421 

33 

27 

9281 

9330 

9378 

9426 

9474 

9522 

32 

27 

6468 

65i6 

6563 

66x0 

6657 

6705 

32 

28 

9571 

9619  9667 

97[5 

9763 

98x1 

3i 

28 

6752 

6799 

6847 

6894 

6941 

6988 

3i 

29 

9860 

9908  9956 

...4 

..52 

.  100 

3o 

29 

7o36 

7083  7i3o 

7x78 

7225 

7272 

3o 

3o 

9.770148 

0197  0245 

0293 

o34i 

0389 

29 

3o 

9.7873x9 

7367 

74i4 

7461 

7508 

7556 

29 

3i 

0437 

o485  o534 

o582 

o63o 

0678 

28 

3x 

7603 

7650 

7697 

7745 

7792 

7839 

28 

32 

0726 

0774  0822 

0870 

0919 

0967 

27 

32 

7886 

7934 

7981 

8028 

8075 

8x22 

27 

33 

ioi5 

I063:I  II  I 

1 159 

1207 

X255 

26 

33 

8170 

8217 

8264 

83ii 

8359 

84o6 

26 

34 

i3o3 

i35ri399 

1 448 

1496 

1 544 

25 

34 

8453 

85oo 

8547 

8595 

8642 

8689 

25 

35 

1592 

i64o  1688 

1736 

X784 

i832 

24 

35 

8736 

8783 

883o 

8878 

8925 

8972 

24 

36 

1880 

1928  1976 

2024 

2072 

2x20 

23i 

36 

9019 

9066 

9114 

9161 

9208 

9255 

23 

37 

2168 

2216  2264 

23l2 

236i 

2409 

22 

37 

9302 

9349 

9397 

9444 

9491 

9538 

22 

38 

2457 

25o5 

2553 

2601 

2649 

2697 

21 

38 

9585 

9632 

9679 

9727 

9774 

9821 

21 

39 

2745 

2793 

2841 

2889 

2937 

2985 

20 

39 

9868 

9915 

9962 

.  .  .9 

..57 

.  xo4 

20 

4o 

9.773033 

3o8i 

3129 

3i77 

3225 

3273 

19 

4o 

9, 790i5i 

0x98 

0245 

0292 

0339 

o386 

'9 

4i 

3321 

3369  3417 

3465 

35i2 

356o 

18 

4i 

0434 

o48x 

o528 

0575 

0622 

0669 

18 

42 

36o8 

36563704 

3752 

38oo 

3848 

17 

42 

07x6 

0763 

0810 

0857 

0905 

0952 

17 

43 

3896 

3944  3992 

4o4o 

4o88 

4x36 

x6 

43 

0999 

io46 

X093 

I  i4o 

1187 

X234 

16 

44 

4i84 

4232  4280 

4328 

4375 

4423 

x5 

44 

1281 

i328 

x375 

1422 

1469 

x5x6 

i5 

45 

4471 

4519  4567 

46x5 

4663 

4711 

i4 

45 

i563 

161 1 

i658 

X705 

1752 

■799 

i4 

46 

4739 

48074855 

4902 

4950 

4998 

x3 

46 

i846 

1893 

1940 

X987 

2o34 

2081 

i3 

4? 

5o46,5o94 

5i42 

5190 

5238 

5286 

12 

47 

2128 

2175 

2222 

2269 

23i6 

2363 

12 

48 

5333 

538i 

5429 

5477 

5525 

5573 

X  I 

48 

24X0 

2457 

25o4 

255x 

2598 

2645 

XI 

49 

5621 

5668;57i6 

5764 

58i2 

586o 

10 

49 

2692  2739 

2786 

2833 

2880 

2927 

10 

So 

9.77590815956  6oo3 

6o5x 

6099 

6x47 

9 

5o 

9.792974|3o2i 

3o68 

3xi5 

3x62 

3209 

9 

5i 

6[95;6243  6290 

6338 

6386 

6434 

8 

5x 

3256 

33o3 

335o 

3397 

3444 

3491 

8 

52 

6482 

6529;6577 

6625 

6673 

672X 

7 

52 

3538 

3585 

3632 

3679 

3726 

3773 

7 

53 

6768 

68166864 

69x2 

6960 

7007 

6 

53 

38x9 

3866 

3913 

3960 

4007 

4o54 

6 

54 

7055 

7103  7i5i 

7199 

7246 

7294 

5 

54 

4ioi 

4i48 

4195 

4242 

4289 

4336 

5 

55 

7342 

7390,7437 

7485 

7533 

7581 

4 

55 

4383 

443o 

4476 

4523 

4570 

46x7 

4 

56 

7628 

7676^7724 

7772 

7819 

7867 

3 

56 

4664 

4711 

4758 

48o5 

4852 

4899 

3 

57 

7915 

7963  8010 

8o58 

8106 

8x54 

2 

57 

4946 

4992 

5o39 

5o86 

5i33 

5i8o 

2 

58 

8201 

8249  8297 

8344 

8392 

844o 

I 

58 

5227 

5274 

532X 

5367 

54x4 

5461 

I 

59 

8  188 

85358583 

863i 

8678 

8726 

0 

59 

55o8 

5555 

56o2 

5649 

5696 

5742 

0 

00" 

50"  1  40" 

30" 

20" 

10" 

d 

60" 

50"  1  40" 

30" 

^" 

10" 

Co-tan  Gjent  of  59  Degrees. 

Co-tangent  of  58  Degrees. 

P,  1 

p  ,j  1"  2"  3"  4"  5"  6"  7"  8"  9"  ji  „ 
™"/5  10  14  19  24  29  34  39  43  T' 

„  J  1"  2"  3"  4"  5"  6"  7"  8"  9" 
*^^''  (5     9  14  19  24  28  33  38  43 

56 


LOGAKITHMIC    SiNES. 


Sine  of  32  Degrees. 

ii 

Sine  of  33  Degrees. 

0" 

10" 

20" 

30" 

40" 

50" 

0" 

10" 

20" 

30" 

40" 

50" 

0 

9. 72421C 

4243 

4277 

43ii 

4344 

4378 

59 

0 

9.736109 

6i4i 

6174 

6206 

6238 

6271 

59 

I 

44i2 

4445 

4479 

45i3 

4546 

458o 

58 

I 

63o3 

6336 

6368 

64oo 

6433 

6465 

58 

2 

46i4 

4647 

468i 

4715 

4748 

4782 

57 

2 

6498 

653o 

6562 

6595 

6627 

6659 

57 

3 

48i6 

4849 

4883 

4917 

4950 

4984 

56 

3 

6692 

6724 

6757 

6789 

6821 

6854 

56 

4 

5oi7 

5o5i 

5o85 

5ii8 

5i52 

5i85 

55 

4 

6886 

6918 

6951 

6983 

7015 

7048 

55 

5 

5219 

5253 

5286 

5320 

5353 

5387 

54 

5 

7080 

71 12 

7145 

7177 

7209 

7241 

54 

6 

5420 

5454 

5488 

5521 

5555 

5588 

53 

6 

7274 

7306 

7338 

7371 

74o3 

7435 

53 

7 

5622 

5655 

5689 

5722 

5756 

5789 

52 

7 

7467 

7500 

7532 

7564 

7597 

7629 

52 

8 

5823 

5856 

5890 

5923 

5957 

5990 

5i 

8 

7661 

7693 

7726 

7758 

7790 

7822 

5i 

9 

6024 

6057 

6091 

6124 

6i58 

6191 

5o 

9 

7855 

7887 

7919 

7951 

7983 

8016 

5o 

10 

9.726225 

6258 

6292 

6325 

6359 

6392 

49 

10 

9.738048 

8080 

8112 

8145 

8177 

8209 

49 

II 

6426 

6459 

6493 

6526 

656o 

6593 

48 

II 

8241 

8273 

83o6 

8338 

8370 

84o2 

48 

12 

6626 

6660 

6693 

6727 

6760 

6794 

47 

12 

8434 

8466 

8499 

853i 

8563 

8595 

47 

i3 

6827 

6860 

6894 

6927 

6961 

6994 

46 

i3 

8627 

8659 

8692 

8724 

8756 

8788 

46 

i4 

7027 

7061 

7094 

7128 

7161 

7194 

45 

i4 

8820 

8852 

8884 

8917 

8949 

8981 

45 

1  i5 

7228 

7261 

7294 

7328 

7361 

7394 

44 

i5 

9013 

9045 

9077 

9109 

9141 

9173 

44 

i6 

7428 

7461 

7494 

7528 

7561 

7594 

43 

16 

9206 

9238 

9270 

9302 

9334 

9366 

43 

I? 

7628 

7661 

7694 

7728 

7761 

7794 

42 

17 

9398 

9430 

9462 

9494 

9526 

9558 

42 

i8 

7828 

7861 

7894 

7928 

7961 

7994 

4i 

18 

9590 

9622 

9654 

9687 

9719 

975i 

4i 

19 

8027 

8061 

8094 

8127 

8161 

8194 

4o 

19 

9783 

9815 

9847 

9879 

991X 

9943 

4o 

20 

9.728227 

8260 

8294 

8327 

836o 

8393 

39 

20 

9.739975 

...7 

..39 

.  .71 

.  xo3 

.i35 

39 

21 

8427 

846o 

8493 

8526 

856o 

8593 

38 

21 

9.740167 

0199 

023l 

0263 

0295 

o327 

38 

22 

8626 

8659 

8692 

8726 

8759 

8792 

37 

22 

0359 

0391 

o423 

o455 

0487 

o5x9 

37 

23 

8825 

8858 

8892 

8925 

8958 

8991 

36 

23 

o55o 

o582 

o6i4 

o646 

0678 

0710 

36 

24 

9024 

9o58 

9091 

9124 

9157 

9190 

35 

24 

0742 

0774 

0806 

o838 

0870 

0902 

35 

25 

9223 

9257 

9290 

9323 

9356 

9389 

34 

25 

0934 

0966 

0997 

X029 

io6x 

X093 

34 

26 

9422 

9455 

9489 

9522 

9555 

9588 

33 

26 

II25 

1157 

1189 

1221 

X253 

X284 

33 

27 

9621 

9654 

9687 

9720 

9753 

9787 

32 

27 

i3x6 

1 348 

i38o 

l4l2 

i444 

1476 

32 

28 

9820 

9853 

9886 

9919 

9952 

9985 

3i 

28 

i5o8 

1539 

1571 

i6o3 

i635 

1667 

3i 

29 

9.730018 

oo5i 

0084 

01 17 

oi5o 

oi83 

3o 

29 

1699 

1730 

1762 

1794 

1826 

i858 

3o 

3o 

9  .730217 

o25o 

0283 

o3i6 

0349 

o382 

29 

3o 

9.741889 

1921 

1953 

1985 

2017 

2049 

29 

3i 

o4i5 

o448 

o48i 

o5i4 

o547 

o58o 

28 

3i 

2080 

2112 

2x44 

21 76 

2207 

2239 

28 

32 

o6i3 

o646 

0679 

0712 

0745 

0778 

27 

32 

2271 

23o3 

2335 

2366 

2398 

243o 

27 

33 

08 1 1 

0844 

0877 

0910 

0943 

0976 

26 

33 

2462 

2493 

2525 

2557 

2589 

2620 

26 

34 

1009 

1 042 

1075 

1 1 08 

I  i4i 

1173 

25 

34 

2652 

2684 

2715 

2747 

2779 

28IX 

25 

35 

1206 

1239 

1272 

i3o5 

i338 

1371 

24 

35 

2842 

2874 

2906 

2937 

2969 

3oox 

24 

36 

i4o4 

1437 

1470 

i5o3 

i536 

1569 

23 

36 

3o33 

3o64 

3096 

3x28 

3x59 

3x91 

23 

37 

1602 

i634 

1667 

1700 

1733 

1766 

22 

37 

3223 

3254 

3286 

33x8 

3349 

338x 

22 

38 

1799 

i832 

i865 

1897 

1930 

1963 

21 

38 

34i3 

3444 

3476 

35o8 

3539 

357X 

21 

39 

1996 

2029 

2062 

2095 

2127 

2160 

20 

39 

36o2 

3634 

3666 

3697 

3729 

3761 

20 

4o 

9.732193 

2226 

2259 

2292 

2325 

2357 

19 

40 

9.743792 

3824 

3855 

3887 

3919 

3950 

19 

4i 

2390 

2423 

2456 

2489 

2521 

2554 

18 

4i 

3982 

4oi3 

4o45 

4077 

4 1 08 

4i4o 

18 

42 

2587 

2620 

2653 

2685 

2718 

2751 

17 

42 

417X 

42o3 

4234 

4266 

4297 

4329 

17 

43 

2784 

2816 

2849 

2882 

2gi5 

2948 

x6 

43 

436x 

4392 

4424 

4455 

4487 

45i8 

16 

44 

2980 

3oi3 

3o46 

3079 

3x11 

3i44 

i5 

44 

455o 

458i 

46i3 

4644 

4676 

4707 

x5 

45 

3177 

3210 

3242 

3275 

33o8 

3340 

i4 

45 

4739 

4770 

4802 

4833 

4865 

4896 

i4 

46 

3373 

3406 

3439 

3471 

35o4 

3537 

x3 

46 

4928 

4959 

4991 

5022 

5o54 

5o85 

x3 

47 

3569 

36o2 

3635 

3667 

3700 

3733 

12 

47 

5x17 

5i48 

5i8o 

521  X 

5243 

5274 

12 

48 

3765 

3798 

383i 

3863 

3896 

3929 

II 

48 

53o6 

5337 

5369 

54oo 

543x 

5463 

X  I 

^9 

3961 

3994 

4027 

4o59 

4092 

4i25 

ID 

49 

5494 

5526 

5557 

5589 

5620 

565i 

10 

5o 

9.734157 

4190 

4222 

4255 

4288 

4320 

9 

5o 

9.745683 

5714 

5746 

5777 

58o8 

584o 

9 

?' 

4353 

4386 

44x8 

445 1 

4483 

45i6 

8 

5i 

5871 

5903 

5934 

5965 

5997 

6028 

8 

52 

4549 

458i 

46i4 

4646 

4679 

4711 

7 

52 

6060 

6091 

6122 

6i54 

6x85 

62x6 

7 

53 

4744 

4777 

4809 

4842 

4874 

4907 

6 

53 

6248 

6279 

63io 

6342 

6373 

64o4 

6 

54 

4939 

4972 

5oo4 

5o37 

5069 

5X02 

5 

54 

6436 

6467 

6498 

653o 

656x 

6592 

5 

55 

5i35 

5167 

5200 

52  32 

5265 

5297 

4 

55 

6624 

6655 

6686 

67x8 

6749 

6780 

4 

56 

533o 

5362 

5395 

5427 

5460 

5492 

3 

56 

6812 

6843 

6874 

6905 

6937 

6968 

3 

57 

5525 

5557 

5590 

5622 

5655 

5687 

0 

57 

6999 

7o3i 

7062 

7093 

7124 

7x56 

2 

58 

5719 

5752 

5784 

58i7 

5849 

5882 

I 

58 

7187 

7218 

7249 

7281 

7312 

7343 

I 

59 

5914 

5947 

5979 

601 1 

6044 

6076 

0 

59 

7374 

7406 

7437 

7468 

7499 

7530 

0 

60" 

50" 

40" 

30" 

20" 

10" 

60" 

50" 

40" 

30" 

20" 

10" 

Co-sine  of  57  Degrees. 

Co-sine  of  56  Degrees. 

P. 

p„,  j  1"  2"  3"  4"  5"  6"  7" 
*^^"  1  3  7  10  13  17  20  23 

8"  < 
26  3 

0 

P. 

Part  31   ; 

2"  3" 
3  10 

4" 
13  ] 

5"  6 
16  1[ 

)  22 

8" 
25  2 

d" 

9 

Logarithmic   Tangents. 


57 


Tano;ent  of  32  Degrees. 

- 

s 

Tangent  of  33  Degrees. 

0" 

10" 

20" 

30" 

40" 

50" 

0" 

10" 

20" 

30"   40"  !  50" 

0 

9.795789 

5836 

5883 

593c 

5977 

6023 

59 

0 

9.812517 

2563 

2610 

2656  2702 

2748 

59 

I 

6070 

6117 

6164 

6211 

6258 

63o4 

58 

I 

2794 

2840 

2886 

2932  2978 

3o24 

58 

2 

635i 

6398 

6445 

6492 

6539 

6585 

57 

2 

3070 

3ii6 

3i63 

3209 

3255 

33oi 

57 

3 

6632 

6679 

6726 

6773 

6819 

6866 

56 

3 

3347 

3393 

3439 

3485  3531 

3577 

56 

4 

6913 

6960 

7007 

7053 

7100 

7147 

55 

4 

3623 

3669 

3715 

3761 

3807 

3853 

55 

5 

7194 

7241 

7287 

7334 

7381 

7428 

54 

5 

3899I3945 

3991 

4o37 

4o83 

4129 

54 

6 

7474 

7521 

7568 

7615 

7662 

7708 

53 

6 

4176 

4222 

4268 

43i4 

436o 

44o6 

53 

7 

7755 

7802 

7849 

7895 

7942 

7989 

52 

7 

4452 

4498 

4544 

4590 

4636 

4682 

52 

8 

8o36 

8082 

8129 

8176 

8223 

8269 

5i 

8 

4728 

4774 

4820 

4866 

4912 

4958 

5i 

9 

83i6 

8363 

8409 

8456 

85o3 

855o 

5o 

9 

5oo4 

5o5o 

5096 

5i42 

5i88 

5234 

5o 

10 

9.798596 

8643 

8690 

8737 

8783 

883o 

49 

10 

9.815280 

5326 

5371 

5417 

5463 

5509 

49 

II 

8877 

8923 

8970 

9017 

9063 

9110 

48 

II 

5555 

56oi 

5647 

5693 

5739 

5785 

48 

12 

9157 

9204 

9250 

9297 

9344 

9390 

47 

12 

583i 

5877 

5923 

5969 

6oi5 

6061 

47 

i3 

9437 

9484 

9530 

9577 

9624 

9670 

46 

i3 

6107 

6i53 

6199 

6245 

6291 

6336 

46 

i4 

9717 

9764 

9810 

9857 

9904 

9950 

45 

i4 

6382 

6428 

6474 

6520 

6566 

6612 

45 

i5 

9997 

..44 

..90 

.137 

.184 

.23o 

44 

i5 

6658 

6704 

6750 

6796 

6842 

6888 

44 

i6 

9.800277 

o324 

0370 

0417 

o463 

o5io 

43 

16 

6933 

6979 

7025 

7071 

7117 

7163 

43 

17 

o557 

o6o3 

o65o 

0697 

0743 

0790 

43 

17 

7209 

7255 

73oi 

7347 

7392 

7438 

42 

i8 

o836 

o883 

0930 

0976 

1023 

1070 

4i 

18 

7484 

7530 

7576 

7622 

7668 

7714 

4i 

19 

1116 

ii63 

1209 

1256 

i3o3 

1349 

4o 

19 

7759 

7805 

785i 

7897 

7943 

7989 

4o 

20 

9.801396 

1442 

1489 

i535 

i582 

1629 

39 

20 

9.818035 

8081 

8126 

8172 

8218 

8264 

39 

21 

1675 

1722 

1768 

i8i5 

1862 

1908 

38 

21 

83io 

8356 

84o2 

8447 

8493 

8539 

38 

22 

1955 

2001 

2048 

2094 

2l4l 

2187 

37 

22 

8585 

863i 

8677 

8722 

8768 

88i4 

37 

23 

2234 

2281 

2327 

2374 

2420 

2467 

36 

23 

8860 

8906 

8952 

8997 

9043 

9089 

36 

24 

25i3 

256o 

2606 

2653 

2699 

2746 

35 

24 

9135 

9181 

9226 

9272 

9318 

9364 

35 

25 

2792 

2839 

2886 

2932 

2979 

3o25 

34 

25 

9410 

9455 

95oi 

9547 

9593 

9639 

34 

26 

3072 

3ii8 

3i65 

321  I 

3258 

33o4 

33 

26 

9684 

9730 

9776 

9822 

9868 

9913 

33 

27 

335i 

3397 

3444 

3490 

3537 

3583 

32 

27 

9959 

...5 

..5i 

..96 

.  142 

.188 

32 

28 

363o 

3676 

3723 

3769 

38i6 

3862 

3i 

28 

9.820234 

0280 

o325 

0371 

0417 

o463 

3i 

29 

3909 

3955 

4ooi 

4o48 

4094 

4i4i 

3o 

29 

o5o8 

o554 

0600 

o646 

0691 

0737 

3o 

3o 

9.804187 

4234 

4280 

4327 

4373 

4420 

29 

3o 

9.820783 

0829 

0874 

0920 

0966 

1012 

29 

3i 

4466 

45i3 

4559 

46o5 

4652 

4698 

28, 

3i 

1057 

iio3 

1149 

1195 

1240 

1286 

28 

32 

4745 

479' 

4838 

4884 

4930 

4977 

27 

32 

i332 

1377 

i423 

1469 

i5i5 

i56o 

27 

33 

5o23 

5070 

5i  16 

5i63 

5209 

5255 

26 

33 

1606 

i652 

1697 

1743 

1789 

i835 

26 

34 

53o2 

5348 

5395 

5441 

5487 

5534 

25 

34 

1880 

1926 

1972 

2017 

2060 

2109 

25 

35 

558o 

5627 

5673 

5719 

5766 

58i2 

24 

35 

2i54 

2200 

2246 

2292 

2337 

2383 

24 

36 

5859 

5905 

5951 

5998 

6o44 

6091 

23 

36 

2429 

2474 

2520 

2566 

2611 

2657 

23 

37 

6137 

6i83 

623o 

6276 

6322 

6369 

22 

37 

2703 

2748 

2794 

2840 

2885 

2931 

22 

38 

64i5 

6462 

65o8 

6554 

6601 

6647 

21 

38 

2977 

3o22 

3o68 

3ii4 

3i59 

32o5 

21 

39 

6693 

6740 

6786 

6832 

6879 

6925 

20 

39 

325i 

3296 

3342 

3387 

3433 

3479 

20 

4o 

9.806971 

7018 

7064 

7110 

7157 

7203 

19 

4o 

9.823524 

3570 

36i6 

366i 

3707 

3753 

19 

4i 

7249 

7296 

7342 

7388 

7435 

7481 

18 

4i 

3798 

3844 

3889 

3935 

3981 

4026 

18 

42 

7527 

7574 

7620 

7666 

7713 

7759 

17 

42 

4072 

4117 

4i63 

4209 

4254 

43oo 

17 

43 

7805 

785i 

7898 

7944 

7990 

8037 

16 

43 

4345 

4391 

4437 

4482 

4528 

4573 

16 

44 

8o83 

8129 

8176 

8222 

8268 

83i4 

i5 

44 

4619 

4665 

4710 

4756 

48oi 

4847 

i5 

45 

836i 

8407 

8453 

8499 

8546 

8592 

i4 

45 

4893;4938 

4984 

5029 

5075 

5l20 

i4 

46 

8638 

8685 

8731 

8777 

8823 

8870 

i3 

46 

5i66!52i2 

5257 

53o3 

5348 

5394 

i3 

47 

8gi6 

8962 

9008 

9055 

gioi 

9147 

12 

47 

54395485 

553i 

5576 

5622 

5667 

12 

48 

9193 

9240 

9286 

9332 

9378 

9424 

II 

48 

57135758 

58o4 

5849 

5895 

5940 

II 

49 

9471 

9517 

9563 

9609 

9656 

9702 

10 

49 

5986,6032 

6077 

6123 

6168 

6214 

10 

5o 

9.809748 

9794 

9840 

9887 

9933 

9979 

9 

5o 

9.8262596305 

635o 

6396 

644i 

6487 

9 

5i 

9.810025 

0071 

0118 

0164 

0210 

0256 

8 

5i 

65326578 

6623 

6669 

6714 

6760 

8 

52 

o3o2 

0349 

0395 

o44i 

0487 

o533 

7 

52 

68o5,685i 

6896 

6942 

6987 

7033 

7 

53 

o58o 

0626 

0672 

0718 

0764 

0810 

6 

53 

7078  7124 

7169 

7215 

7260 

7306 

6 

54 

0857 

0903 

0949 

0995 

io4i 

1087 

5 

54 

735i 

7397 

7442 

7488 

7533 

7579 

5 

55 

1 1 34 

1180 

1226 

1272 

i3i8 

1 364 

4 

55 

7624 

7670 

7715 

7761 

7806 

7851 

4 

56 

i4io 

1457 

i5o3 

i549 

1595 

i64i 

3 

56 

7897 

7942 

7988 

8o33 

8079 

8124 

3 

57 

1687 

1733 

1780 

1826 

1872 

1918 

2 

57 

8170  8215 

8261 

83o6 

S35i 

8397 

2 

58 

1964 

2010 

2o56 

2102 

2149 

2195 

I 

58 

8442  8488 

S533 

8579 

8624 

8669 

I 

59 

224t 

2287 

2333 

2379 

2425 

2471 

0 

59 

8715 

8760 

8806 

885i 

8897 

8942 

0 

60" 

50" 

40" 

30" 

30" 

10" 

i 

P  1 

60" 

50" 

40" 

30" 

20" 

10" 

Co-tangent  of  57  Degrees. 

Co-tangent  of  56  Degrees. 

P.I 

.  .  jl"  2"  3"  4"  .5"  6"  7"  8"  9" 

,„,  i  1"  2"  3"  4"  5"  6"  7"  8"  9" 
/  5  9  14  18  23  27  32  37  41 

(5  9  14  19  23  28  33  37  42 

r.  1 

58 


LOGAKITHMIO    SiNES. 


a 

iS 


Sine  of  34  Degrees. 


o 

1 

2 

3 

4 
5 
6 

7 

8 

9 

10  9 

1 1 

12 

i3 
i49 
i5 
i6 

17 

i8 

'9 

20  9 
21 

22 
23 

24 
25 

26 
27 

28 
29 

3o  9 
3i 

32 

33 
34 
35 
36 

37 

38 

39 

4o  9 

4i 

42 

43 

44 

45 

46 

47 
48 

49 
5o  ( 
5i 

52 

53 
54 
55 
56 

57 
58 

59 


9.747^62 


10" 


7749 
7936 
8i23 
83io 

8497 
8683 

8870 

9o56 

9243 

.749429 
9615 
9801 
9987 

,750172 
o358 
o543 
0729 
0914 
1099 

,751284 
1469 
i654 
1839 

2023 
2208 
2392 
2576 
2760 
2944 
.753128 

33i2 
3495 
3679 
3862 
4o46 
4229 
44 1 2 
4595 

477» 
.754960 
5i43 
5326 
55o8 
5690 
5872 
6o54 
6236 
64i8 
6600 
1.756782 
6963 
7144 
7326 
7507 
7688 
7869 
8o5o 
823o 
84ii 


7593 
7780 
7967 

8i54 
834i 
8528 

8714 
8901 
9087 
9274 
9460 
9646 
9832 
..18 

02o3 

0389 
0574 
0760 
0945 
I  i3o 
i3i5 
i5oo 
i685 
1869 
2o54 

2238 

2423 

2607 

2791 

2975 

3i59 

3342 

3526 

3710 

3893 

4076 

4259 

4442 

4625 

48o8 

4991 

5173 

5356 

5538 

5721 

5903 

6o85 

6267 

6448 

663o 

6812 

6993 

7175 

7356 

7537 

7718 

7899 

8080 

8260 

844 1 


20" 


60" 


7624 
7811 
7998 
8i85 
8372 
8559 
8745 
8932 
9118 
93o5 
9491 
9677 
9863 
48 
0234 
0420 
o6o5 
0791 
0976 
1 161 
1 346 
i53i 
1715 
1900 
2o85 
2269 
2453 
2637 
2822 
3oo5 
3189 
3373 
3557 
3740 
3923 
4107 
4290 
4473 
4656 
4839 

5o2I 

52o4 
5386 
5569 
5751 
5933 
6ii5 
6297 

6479 

6660 

6842 

7023 

72o5 

7386 

7567 

7748 

7929 

8110 

8290 

8471 


30" 


50" 


7655 
7842 
8o3o 
8216 
84o3 
8590 
8777 
8963 
9149 
9336 
9522 
9708 
9894 

79 
0265 

045 1 
o636 
0821 
1007 
1 192 
1377 
i56i 
1746 
1931 
21 15 
23oo 
2484 
2668 

2852 

3o36 

3220 

34o4 
3587 
3771 
3954 
4i37 
4320 
45o3 
4686 
4869 
5o52 
52  34 

5417 

5599 

5781 

5963 

6i45 

6327 

65o9 

6691 

6872 

7054 

7235 

7416 

7597 

7778 

7959 

8i4o 

8321 

85oi 


40" 


7686 
7874 
8061 
8248 
8434 
8621 
8808 
8994 
9180 
9367 
9553 
9739 
9925 
1 10 
0296 
0482 
0667 
o852 
1037 
1222 
i4o7 
1592 
1777 
1962 
2 1 46 
233o 
25i5 
2699 
2883 
3067 
325i 
3434 
36i8 
38oi 
3985 
4i68 
435i 
4534 
4717 
4900 
5082 
5265 

5447 
5629 
58i2 
5994 
6176 
6358 


50" 


7718 
905 
8092 
8279  56 
8466J55 
8652  54 


59 

58 

57 


8839 
9025 
9212 
9398 

9584'49 
9770  48 


53 

52 

5i 
5o 


47 
46 

45 
44 
43 
42 

4i 


9956 

i4i 
o327 
o5i2 
0698 
o883 
1068 
i253j4o 
i438|39 
1623 
1808 
1992 
2177 
236i 
2545 
2729 
2914 
3097 
3281 
3465 
3648 
3832 
4oi5 
4198 
438i 
4564 
4747 
4930 
5ii3 
5295 
5478 


38 

37 
36 

35 
34 
33 

32 

3i 
3o 
29 

28 
27 
26 

25 

24 

23 
22 
21 
20 

19 

18 

17 
16 

i5 


566o 

5842 
6o24|i4 
6206113 
6388 


6539|6570 


40" 


6721 
6903 

7084 
7265 

7446 
7627 
7808 
7989 

8170 
835i 
853i 


30" 


6751 
6933 
7114 
7295 

7477' 
7658 

7839 

8019 

8200 

838i 

856i 


Sine  of  35  Degrees. 


0" 


20" 


10" 


P.  Part 


Co-sine  of  55  Degrees. 

(  1"  2"  3"  4"  5"  6"  7" 
"/  3  6   9  12  15  18  21 


o 
I 

2 
3 
4 
5 
6 

7 

8 

9 
10 

1 1 
12 
i3 
i4 
i5 
16 

17 

18 

19 

20 

21 
22 

23 

24 

25 

26 
27 
28 
29 

3o 
3i 

32 

33 
34 
35 
36 

37 
38 
39 
40 

4i 
42 
43 
44 
45 
46 

47 

48 

49 
5o 

5i 

52 

53 
54' 
55 
56 

57 
58 
59 


10" 


25 


s 

9^ 

28 


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9132 
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1 106 
1285 
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20" 


30" 


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9162 
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9881 
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0240 
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7008 

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40" 


8681 

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9222 

9402 

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50" 


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8742 
8922 
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0181 
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2682 
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4l02 
4279 
4455 

4632 


477914809 


60" 


50"  I  40" 


4956 
5i32 
5309 
5485 
566i 
5887 
6oi3 
6189 
6864 
654o 
6715 
6891 
7066 
7241 
7416 
7591 
7766 
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8290 

8464 
8688 
88i3 
8987 
9161 


30" 


4985 
5i62 
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55i4 
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5866 
6o42 
6218 
6894 
6569 
6745 
6920 
7095 
7270 
7445 
7620 
7795 
7970 

8i44 
8819 
8493 
8668 
8842 
9016 
9190 


59 

58 

57 
56 

55 
54 
53 

52 

5i 
5o 

49 

48 

47 
46 

45 
44 
43 
42 
4i 
4o 

39 

38 

37 
86 
35 
34 
88 
82 
3i 
3o 
29 
28 
27 
26 

25 

24 
28 
22 
21 
20 


20" 


10" 


19 

18 

17 
16 

i5 
i4 
18 
12 
II 

ID 

9 

8 

7 
6 
5 
4 
3 
2 
I 
o 


P.  Part 


Co-sine  of  54  Degrees.     S 

j  1"  2"  3"  4"  5"  6"  7"  8"  9" 
(3  6  9  12  15  18  21  24  27 


Logarithmic 

Tangents 

• 

59 

.g 

Tangent  of  34  Degrees. 

.S 

Tangent  of  35  Degrees. 

59 

0" 

10" 

20" 

30" 

40" 

50" 

0" 

10" 

20" 

30" 

40" 

50" 



0 

9.828987 

9033 

9078 

9124 

9169 

9215 

59 

0 

9.845227 

5272 

53i6 

536 1 

5406  545i 

I 

9260 

93o5 

9351 

9396 

9442 

9487 

58 

I 

5496 

5540 

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563o 

5675 

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58 

2 

9532 

9578 

9623 

9669 

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57 

2 

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5854 

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5944 

5988 

57 

3 

9805 

9850 

9895 

9941 

9986 

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56 

3 

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6123 

6168 

6212 

6257 

56 

4 

9.830077 

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0168 

02l3 

0258 

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55 

4 

63o2 

6347 

6391 

6436 

648 1 

6526 

55 

5 

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0395 

o44o 

o485 

o53i 

0576 

54 

5 

6570 

66i5 

6660 

6705 

6750 

6794 

54 

6 

0621 

0667 

0712 

0757 

o8o3 

o848 

53 

6 

6839 

6884 

6929 

6973 

7018 

7063 

53 

7 

0893 

0939 

0984 

1029 

1075 

1 120 

52 

7 

7108 

7r52 

7197 

7242 

7287 

7331 

52 

8 

ii65 

121  I 

1256 

i3oi 

1 347 

1392 

5i 

8 

7376 

7421 

7465 

75io 

7555 

7600 

5i 

9 

1437 

i483 

i528 

1573 

1619 

i664 

5o 

9 

7644 

7689 

7734 

7779 

7823 

786S 

5o 

10 

g. 831709 

1755 

1800 

1845 

1891 

1936 

49 

10 

9.847913 

7957  8002 

8047 

8092 

8i36 

49 

II 

1981 

2026 

2072 

21 17 

2162 

2208 

48 

1 1 

8181 

8226 

8270 

83i5 

836o 

84o5 

48 

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2298 

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2389 

2434 

2479 

47 

12 

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8539 

8583 

8628 

8673 

47 

i3 

2525 

2570 

26i5 

2660 

2706 

2751 

46 

i3 

8717 

8762 

8807 

885i 

8896 

8941 

46 

i4 

2796 

2842 

2887 

2932 

2977 

3o23 

45 

i4 

8986 

9o3o 

9075 

9120 

9164 

9209 

45 

i5 

3o68 

3ii3 

3i58 

32o4 

3249 

3294 

44 

i5 

9254 

9298 

9343 

9388 

9432 

9477 

44 

i6 

3339 

3385 

343o 

3475 

3520 

3566 

43 

16 

9522 

9566 

961 1 

9656 

9700 

9745 

43 

17 

36ii 

3656 

3701 

3747 

3792 

3837 

42 

17 

9790 

9834 

9879 

9924 

9968 

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42 

i8 

3882 

3927 

3973 

4oi8 

4o63 

4108 

4i 

18 

9.85oo57 

0102 

0147 

0191 

0236 

0281 

4i 

19 

4i54 

4199 

4244 

4289 

4334 

438o 

4o 

19 

o325 

0370 

o4i5 

0459 

o5o4 

o548 

4o 

20 

9,834425 

4470 

45i5 

456i 

4606 

465i 

39 

20 

9.850593 

o638 

0682 

0727 

0772 

0816 

39 

21 

4696 

4741 

4787 

4832 

4877 

4922 

38 

21 

0861 

0905 

0950 

0995 

loSg 

1084 

38 

22 

4967 

5oi2 

5o58 

5io3 

5i48 

5193 

37 

22 

1129 

1 173 

1218 

1262 

i3o7 

i352 

37 

23 

5238 

5284 

5329 

5374 

5419 

5464 

36 

23 

1396 

i44i 

i485 

i53o 

1575 

1619 

36 

24 

5509 

5555 

56oo 

5645 

5690 

5735 

35 

24 

i664 

1708 

1753 

1797 

1842 

1887 

35 

25 

5780 

5826 

5871 

5916 

5961 

6006 

34 

25 

1931 

1976 

2020 

2o65 

21 10 

2i54 

34 

26 

6o5i 

6096 

6142 

6187 

62  32 

6277 

33 

26 

2199 

2243 

2288 

2332 

2377 

2422 

33 

27 

6322 

6367 

64i2 

6458 

65o3 

6548 

32 

27 

2466 

25l  I 

2555 

2600 

2644 

2689 

32 

38 

6593 

6638 

6683 

6728 

6773 

6819 

3i 

28 

2733 

2778 

2823 

2867 

2912 

2956 

3i 

29 

6864 

6909 

6954 

6999 

7044 

7089 

3o 

29 

3ooi 

3o45 

3090 

3i34 

3i79 

3223 

3o 

3o 

9.837134 

7179 

7225 

7270 

73i5 

7360 

29 

3o 

9.853268 

33i3 

3357 

3402 

3446 

3491 

29 

3i 

74o5 

745o 

7495 

7540 

7585 

763o 

28 

3i 

3535 

358o 

3624 

3669 

3713 

3758 

28 

32 

7675 

7721 

7766 

7811 

7856 

7901 

27 

32 

38o2 

3847 

3891 

3936 

3980 

4o25 

27 

33 

7946 

799' 

8o36 

8081 

8126 

8171 

26 

33 

4069 

4ii4i4i58 

42o3 

4247 

4292 

26 

34 

8216 

8261 

83o7 

8352 

8397 

8442 

25 

34 

4336 

438i 

4425 

4470 

45i4 

4559 

25 

35 

8487 

8532 

8577 

8622 

8667 

8712 

24 

35 

46o3 

4648 

4692 

4737 

4781 

4826 

24 

36 

8757 

8802 

8847 

8892 

8937 

8982 

23 

36 

4870 

4915 

4959 

5oo4 

5o48 

5093 

23 

37 

9027 

9072 

9117 

9162 

9207 

9252 

22 

37 

5i37 

5i82 

5226 

5271 

53i5 

536o 

22 

38 

9297 

9343 

9388 

9433 

9478 

9523 

21 

38 

54o4 

5449 

5493 

5537 

5582 

5626 

21 

39 

9568 

9613 

9658 

9703 

9748 

9793 

20 

39 

5671 

5715 

5760 

58o4 

5849 

5893 

20 

4o 

9.839838 

9883 

9928 

9973 

..i8 

..63 

19 

40 

9.855938 

5982 

6026 

6071 

6ii5 

6160 

19 

4i 

9. 84oio8 

oi53 

0198 

0243 

0288 

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18 

4i 

6204 

6249 

6293 

6338 

6382 

6426 

18 

42 

0378 

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o5i3 

o558 

o6o3 

17 

42 

6471 

65x5 

656o 

6604 

6649 

6693 

17 

43 

0648 

0693 

0737 

0782 

0827 

0872 

16 

43 

6737 

67826826 

6871 

6gi5 

6959 

16 

44 

0917 

0962 

1007 

io52 

1097 

I  l42 

i5 

44 

7004 

7048  7093 

7137 

7182 

7226 

i5 

45 

1187 

1232 

1277 

l322 

i367 

l4l2 

i4 

45 

7270 

73i5|7359 

74o4 

7448 

7492 

i4 

46 

1457 

l502 

i547 

1592 

1637 

1682 

i3 

46 

7537 

7581 

7626 

7670 

7714 

7759 

i3 

47 

1727 

I77I 

1816 

1861 

1906 

I95I 

12 

47 

7803 

7848 

7892 

7936 

7981 

8025 

12 

48 

1996 

204l 

2086 

2l3l 

2176 

2221 

11 

48 

8069 

8ii4 

8i58 

8203 

8247 

8291 

1 1 

49 

2266 

23ll 

2355 

2400 

2445 

2490 

10 

49 

8336 

838o 

8424 

8469 

85i3 

8558 

10 

5o 

9.842535 

258o 

2625 

2670 

2715 

2760 

9 

5o 

9.858602 

864618691 

8735 

8779 

8824 

9 

5i 

28o5 

2849 

2894 

2939 

2984 

3029 

8 

5i 

8868 

8912  8957 

9001 

9045 

9090 

8 

52 

3074 

3II9 

3i64 

3209 

3253 

3298 

7 

52 

9134 

9178  9223 

9267 

9311 

9356 

7 

53 

3343 

3388 

3433 

3478 

3523 

3568 

6 

53 

9400 

9444:9489 

9533 

9577 

9622 

6 

54 

36i2 

3657 

3702 

3747 

3792 

3837 

5 

54 

9666 

9710I9755 

9799 

9843 

9888 

5 

55 

3882 

3927 

3971 

4oi6 

4o6i 

4 1 06  4 

55 

9932 

9976 

..21 

..65 

.  109 

.i54 

4 

56 

4i5i 

4196 

4241 

4285 

i433o 

4375  3 

56 

9.^60198 

0242 

0287 

o33i 

0375 

0420 

3 

57 

4420 

4465 

45io 

4554 

14599 

4644  2 

57 

o464 

o5o8 

o552 

0597 

o64i 

o685 

2 

58 

4689 

4734 

4779 

4823 

4868 

4913  I 

58 

0730 

0774 

0818 

0862 

0907 

ogSi 

I 

5g 

4958 

5oo3 

5o48 

5092 

l5i37 

5i82 

0 

59 

0995 

io4o 

io84 

1128 

1 172 

1217 

0 

60" 

50" 

40" 

30"  1  20"   10" 

.  d 

60" 

50" 

40" 

30" 

20" 

10" 

Co-tangent  of  55  Degrees. 

Co-tangent  of  54  Degrees. 

Po,f  i  1"  2"  3"  4"  5"  6"  7"  8" 
^^"^5  9  14  18  23  27  32  36 

9" 

41 

P. 

M"  2"  3"  4"  5"  6"  7"  8" 
^^"<4  9  13  18  22  27  31  36 

9" 
40 

60 


Logarithmic   Sines. 


Sine  of  36  Degrees. 

ii 

Sine  of  37  Degrees. 

- 

0" 

• 

10" 

20" 

30" 

40"  1  50' 

0" 

10" 

20" 

30" 

40" 

1  50" 

0 

9.769219 

924!: 

9277 

9306 

9335 

9364 

59 

0 

9.779463 

9491 

95x9 

9547 

9575 

9603 

59 

I 

939: 

942i'945o 

9479 

9508 

9537 

58 

I 

9631 

9659 

9686 

97x4 

9742 

9770 

58 

2 

9566 

9595'962/ 

9653 

9682 

97XX 

57 

2 

9798 

9826 

9854 

9882 

99x0 

9938 

57 

3 

9740 

97699798 

9827 

9856 

9884 

56 

3 

9966 

9993 

.  .21 

..49 

••77 

.  xo5 

56 

/ 

9913 
9.770087 

QQA2^nni  I 

.  .  20 

..58 

55 

4 
5 

9.780x33 
o3oo 

ox  6x 

0189 

o356 

0216 

0244 

0272 
0439 

55 

5 

01 16 

77  /  • 

0x45 

0x73 

7 
0202 

023X 

54 

o328 

o384 

o4ii 

54 

6 

0260 

0289 

o3x8 

o347 

0376 

o4o4 

53 

6 

0467 

0495 

o523 

o55i 

0578 

0606 

53 

7 

0433 

0462 

0491 

o520 

0549 

0577 

52 

7 

o634 

0662 

0690 

07x8 

0745 

0773 

52 

8 

0606 

o635 

0664 

0693 

0722 

0750 

5i 

.8 

080  X 

0829 

0857 

0884 

0912 

0940 

5i 

9 

0779 

0808 

0837 

0866 

0895 

0923 

5o 

9 

0968 

0996 

1023 

xo5x 

X079 

X107 

5o 

10 

9.770952 

0981 

lOIO 

1039 

1067 

1096 

49 

10 

9.781x34 

XX62 

XI90 

1218 

1246 

1273 

49 

II 

I  125 

1x54 

1x83 

I2II 

1240 

1269 

48 

II 

i3oi 

1329 

x357 

i384 

X4l2 

x44o 

48 

12 

1298 

i326 

i355 

1 384 

x4i3 

i44i 

47 

12 

i468 

1495 

i523 

i55i 

1578 

1606 

47 

i3 

1470 

1499 

i528 

x556 

x585  i6x4 

46 

x3 

i634 

1662 

1689 

17x7 

1745 

1772 

46 

i4 

1643 

1671 

1700 

1729 

1758x786 

45 

i4 

x8oo 

X828 

x856 

i883 

I9IX 

1939 

45 

i5 

i8i5 

1 844 

1872 

190X 

1930x959 

44 

x5 

X966 

1994 

2022 

2049 

2077 

2X05 

44 

i6 

1987 

2016 

2045 

2073 

2102  2x3l 

43 

16 

2X32 

2x60 

2x88 

22X5 

2243 

227X 

43 

I? 

2159 

2188 

2217 

2245 

2274'23o3 

42 

17 

2298 

2326 

2354 

238i 

2409 

2437 

42 

i8 

233i 

236o 

2389 

2417 

2446  2475 

4i 

18 

2464 

2492 

2520 

2547 

2575 

2602 

4i 

19 

25o3 

2532 

256x 

2589 

2618  2646 

4o 

19 

263o 

2658 

2685 

2713 

2741 

2768 

4o 

20 

9.772675 

2704 

2732 

2761 

279o'28i8 

39 

20 

9.782796 

2823 

285i 

2879 

2906 

2934 

39 

21 

2847 

2875 

2904 

2933 

296i'299o 

38 

21 

2961 

2989 

3ox7 

3o44 

3072 

3099 

38 

22 

3oi8 

3o47 

3076 

3io4 

3x333i6i 

37! 

22 

3x27 

3i54 

3x82 

32X0 

3237 

3265 

37 

23 

3190 

3219 

3247 

3276 

3304I3333 

36 

23 

3292 

3320 

3347 

3375 

3402 

343o 

36 

24 

336i 

3390 

34x8 

3447 

3476'35o4 

35 

24 

3458 

3485 

35x3 

3540 

3568 

3595 

35 

25 

3533 

356i 

3590 

36x8 

36473675 

34 

25 

3623 

365o 

3678 

3705 

3733 

3760 

34 

26 

3704 

3732 

3761 

3789 

38x8  3846 

33 

26 

3788 

38x5 

3843 

3870 

3898 

3925 

33 

27 

3875 

3903 

3932 

3960 

3989  40x7 

32 

27 

3953 

3980 

4oo8 

4o35 

4o63 

4090 

32 

28 

4o46 

4074  4io3 

4x3i 

4160I4188 

3i 

28 

4xi8 

4i45 

4173 

4200 

4228 

4255 

3x 

29 

4217 

4245 

4274 

43o2 

433i'4359 

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29 

4282 

43x0 

4337 

4365 

4392 

4420 

3o 

3o 

9.774388 

44i6 

4445 

4473 

45oi'453o 

29 

3o 

9.784447 

4475 

45o2 

4529 

4557 

4584 

29 

3i 

4558 

4587 

46x5 

4644 

4672  4700 

28 

3i 

46x2 

4639 

4667 

4694 

4721 

4749 

28 

32 

4729 

4757 

4786 

48x4 

4842'487x 

27 

32 

4776 

48o4 

483i 

4858 

4886 

4913 

27 

33 

4899 

4928 

4956 

4985 

5ox3  5o4i 

26 

33 

4941 

4968 

4995 

5o23 

5o5o 

5078 

26 

34 

5070 

5098 

5x26 

5x55 

5i83  52X2 

25 

34 

5xo5 

5x32 

5x6o 

5187 

52x4 

5242 

25 

35 

524o 

5268 

5297 

5325 

5353^5382 

24 

35 

5269 

5296 

5324 

535x 

5378 

5406 

24 

36 

5410 

5438 

5467 

5495 

5523'5552 

23 

36 

5433 

5461 

5488 

55i5 

5543 

5570 

23 

37 

558o 

56o8 

5637 

5665 

5693  5722 

22 

37 

5597 

5624 

5652 

5679 

5706 

5734 

22 

38 

5750 

5778 

5807 

5835 

5863  5892 

21 

38 

5761 

5788 

58x6 

5843 

5870 

5898 

2X 

39 

5920 

5948 

5977 

6oo5 

6o33  6061 

20 

39 

5925 

5952 

5979 

6007 

6o34 

6o6x 

20 

4o 

9.776090 

6118 

6i46 

6x75 

6203  623i 

'9 

4o 

9.786089 

6116 

6x43 

6170 

6198 

6225 

'9 

4i 

6259 

6288 

63x6 

6344 

6372  64oi 

18 

4i 

6252 

6279 

63o7 

6334 

636i 

6388 

18 

42 

6429 

6457 

6485 

65x4 

6542!6570 

17 

42 

64x6 

6443 

6470 

6497 

6525 

6552 

17 

43 

6598 

6627 

6655 

6683 

67  X 116739 

x6 

43 

6579 

6606 

6634 

666x 

6688 

67x5 

16 

44 

6768 

6796 

6824 

6852 

6880  6909 

x5 

44 

6742 

6770 

6797 

6824 

685i 

6878 

x5 

45 

6937 

6965 

6993 

7021 

7050I7078 

i4 

45 

6906 

6933 

6960 

6987 

70x4 

7042 

i4 

46 

7106 

7134 

7x62 

7191 

72197247 

x3 

46 

7069 

7096 

7x23 

7i5o 

7x77 

7205 

x3 

47 

7275 

73o3 

7331 

7359 

738874x6 

12 

47 

7232 

7259 

7286 

73x3 

7340 

7367 

X2 

48 

7444 

7472 

75oo 

7528 

7556 

7585 

XX 

48 

7395 

7422 

7449 

7476 

75o3 

7530 

IX 

49 

7613 

7641 

7669 

7697 

7725 

7753 

XO 

49 

7557 

7585 

7612 

7639 

7666 

7693 

XO 

5o 

9.777781 

7810 

7838 

7866 

7894 

7922 

9 

5o 

9.787720 

7747 

7774 

7801 

7829 

7856 

9 

5i 

7950 

7978 

8006 

8o34 

8062  8091 

8 

5i 

7883 

79x0 

7937 

7964 

7991 

8oi8 

8 

52 

8119 

8x47 

8x75 

8203 

823x  8259 

7 

52 

8045 

8072 

8099 

8x27 

8x54 

8i8x 

7 

53 

8287 

83x5 

8343 

837X 

8399'8427 

6 

53 

8208 

8235 

8262 

8289 

83x6 

8343 

6 

54 

8455 

8483 

85x1 

8539 

8567'8595 

5 

54 

8370 

8397 

8424 

845i 

8478 

85o5 

5 

55 

8624 

8652 

8680 

8708 

873618764 

4 

55 

8532 

8559 

8586 

86x3 

864o 

8667 

4 

56 

8792 

8820 

8848 

8876 

8904  8932 
9072  9x00 

3 

56 

8694 

8721 

8748 

8775 

8802 

S829 

3 

57 

8960 

8988 

9016 

9044 

2 

57 

8856 

8883 

8910 

8937 

8964 

8991 

2 

58 

9128 

9x56 

9x83 

9211 

9239*9267 

X 

58 

9018 

9045 

9072 

9099 

9x26 

9x53 

T 

59 

9295 

9323 

9351 

9379 

940719435 

0 

59 

9x80 

9207 

9234 

9261 

9288 

93x5 

0 

60' 

50" 

40"   30" 

30"  1  10" 

60" 

50" 

40"   30" 

20" 

10" 

Co-sine  of  5.3  Degrees. 

Co-sine  of  52  Degrees. 

P.I 

,.  \  1"  2"  3"  4"  5"  6"  7"  8"  9" 
^"13  6  9  11  14  17  20  23  26 

P  P„f  i  1"  2"  3"  4"  5"  6"  7"  8"  9' 
^•^^^^  ^  3  5  8  11  14  16  19  22  25 

Logarithmic 

Tangents. 

61 

d 

Tangent  of  36  Degrees. 

Tangent  of  37  Degrees. 

0" 

10" 

20" 

30" 

40" 

50" 

0" 

10" 

20" 

30" 

40" 

50" 

0 

9.861261 

i3o5 

i35o 

1394 

1 438 

1482 

59 

0 

9.8771 1 4 

7i58 

7202 

7246 

7290 

7833 

59 

I 

i527 

1571 

i6i5 

1659 

1704 

1748 

58 

1 

7377 

7421 

7465  7509 

7552 

7596 

58 

■z 

1792 

1837 

1881 

1925 

1969 

20l4 

57 

0 

7640 

7684 

7728 

7771 

78x5 

7859 

57 

3 

2o58 

3102 

2i46 

2191 

2235 

2279 

56 

3 

7903 

7947 

7990 

8o34 

8078 

8x22 

56 

4 

2323 

2368 

2412 

2456 

25oo 

2545 

55 

4 

8i65 

8209 

8253 

8297 

834i 

8384 

55 

5 

2589 

2633 

2677 

2721 

2766 

2810 

54 

5 

8428 

8472 

85x6 

8559 

86o3 

8647 

54 

6 

2854 

2898 

2943 

2987 

3o3i 

3075 

53 

6 

8691 

8734 

8778 

8822 

8866 

8909 

53 

7 

3i  19 

3i64 

3208 

3252 

3296 

3341 

52 

7 

8953 

8997 

9041 

9085 

9x28 

9x72 

52 

8 

3385 

3429 

3473 

35i7 

3562 

36o6 

5i 

8 

9216 

9260 

93o3 

9347 

9891 

9485 

5i 

9 

365o 

3694 

3738 

3783 

3827 

3871 

5o 

9 

9478 

9522 

9566 

9609 

9653 

9697 

5o 

10 

9.863915 

3959 

4oo4 

4o48 

4092 

4i36|49 

10 

9.879741 

9784 

9828 

9872 

99x6 

9959 

49 

1 1 

4t8o 

4225 

4269 

43[3 

4357 

44oi48 

II 

9.880003 

0047 

0091 

0x34 

0178 

0222 

48 

12 

4445 

4490 

4534 

4578 

4622 

4666 

47 

12 

0265 

o3o9 

o353 

0897 

o44o 

o484 

47 

i3 

4710 

4755 

4799 

4843 

4887 

4931 

46 

r3 

o52  8 

0571 

06 1 5 

0659 

0708 

0746 

46 

i4 

4975 

5o20 

5o64 

5io8 

5i52 

5196 

45 

i4 

0790 

o834 

0877 

0921 

0965 

X008 

45 

i5 

524o 

5285 

5329 

5373 

54t7 

5461 

44 

i5 

I052 

1096 

ii4o 

xi83 

X227 

127X 

44 

i6 

55o5 

5549 

5594 

5638 

5682 

5726 

43 

16 

i3i4 

i358 

l402 

1445 

1489 

i583 

43 

17 

5770 

58i4 

5858 

5903 

5947 

5991 

42 

17 

1577 

1620 

x664 

X708 

X751 

X795 

42 

i8 

6o35 

6079 

6123 

6167 

621 1 

6256 

4i 

18 

1839 

1882 

1926 

X970 

20X3 

2o57 

4i 

19 

63oo 

6344 

6388 

6432 

6476 

6520 

4o 

'9 

2101 

2i44 

2x88 

2282 

2275 

28x9 

4o 

20 

9.866564 

6609 

6653 

6697 

6741 

6785 

39 

20 

9.882363 

2406 

245o 

2494 

2587 

258i 

89 

21 

6829 

6873 

6917 

6961 

7006 

7o5o 

38 

21 

2625 

2668 

2712 

2756 

2799 

2843 

88 

22 

7094 

7i38 

7182 

7226 

7270 

73i4 

37 

22 

2887 

2980 

2974 

80x8 

3o6x 

3xo5 

37 

23 

7358 

74o2 

7446 

7491 

7535 

7579 

36 

23 

3i48 

3192 

3236 

8279 

3323 

3367 

36 

24 

7623 

7667 

77" 

7755 

7799 

7843 

35 

24 

3410 

3454 

3498 

854x 

3585 

8628 

35 

25 

7887 

793. 

7975 

8019 

8064 

8to8 

34 

25 

8672 

3716 

3759 

38o3 

3847 

3890 

34 

26 

8i52 

8196 

8240 

8284 

8328 

8372 

33 

26 

3934 

3977 

402I 

4o65 

4io8 

4x52 

33 

27 

84i6 

8460 

85o4 

8548 

8592 

8636 

32 

27 

4196 

4239 

4283 

4326 

4370 

44i4 

82 

28 

8680 

8724 

8768 

88i3 

8857 

8901 

3i 

28 

4457 

45oi 

4544 

4588 

4632 

4675 

81 

29 

8945 

8989 

9033 

9077 

9121 

9165 

3o 

29 

4719 

4762 

4806 

485o 

4898 

4987 

3o 

3o 

9. 869209 

9253 

9297 

9341 

9385 

9429 

29 

3o 

9.884980 

5o24 

5o68 

5ix  I 

5x55 

5198 

29 

3f 

9473 

95r7 

956r 

9605 

9649 

9693 

28 

3 1 

5242 

5286 

5329 

5378 

54x6 

5460 

28 

32 

9737 

9781 

9825 

9869 

9913 

9957 

27 

32 

55o4 

5547 

559X 

5684 

5678 

572X 

27 

33 

9.870001 

0045 

0089 

oi33 

0177 

0221 

26 

33 

5765 

5809 

5852 

5896 

5989 

5983 

26 

34 

0265 

o3o9 

o353 

0397 

o44i 

o485 

25 

34 

6026 

6070 

6ix4 

6x57 

6201 

6244 

25 

35 

o529 

0573 

0617 

0661 

0705 

0749 

24 

35 

6288 

633i 

6875 

6419 

6462 

65o6 

24 

36 

0793 

0837 

0881 

0925 

0969 

ioi3 

23 

36 

6549 

6593 

6636 

6680 

6728 

6767 

23 

37 

io57 

IIOI 

ii45 

1189 

1233 

1277 

22 

37 

6811 

6854 

6898 

6941 

6985 

7028 

22 

38 

l32t 

i365 

i4o9 

1453 

1497 

i54i 

21 

38 

7072 

71x5 

7159 

7202 

7246 

7289 

21 

39 

i585 

1629 

1673 

1717 

1761 

i8o5 

20 

39 

7333 

7377 

7420 

7464 

7507 

755x 

20 

4o 

9.871849 

1893 

1937 

1980 

2024 

2068 

19 

4o 

9.887594 

7638 

7681 

7725 

7768 

78x2 

19 

4i 

2112 

2i56 

2200 

2244 

2288 

2332 

18 

4i 

7855 

7899 

7942 

7986 

8029 

8078 

x8 

42 

2376 

2420 

2464 

25o8 

2552 

2596 

17 

42 

8ii6 

8160 

82o3 

8247 

8291 

8334 

17 

43 

2640 

2684 

2727 

2771 

28i5 

2859 

16 

43 

8378 

8421 

8465 

85o8 

8552 

8595 

16 

44 

2903 

2947 

2991 

3o35 

3079 

3i23 

i5 

44 

8639 

8682 

8726 

8769 

88x3 

8856 

x5 

45 

3167 

321  I 

3255 

3299 

3342 

3386 

i4 

45 

8900 

8943 

8987 

9080 

9074 

9XX7 

i4 

46 

343o 

3474 

35i8 

3562 

36o6 

365o 

i3 

46 

9161 

9204 

9248 

9291 

9334 

9878 

i3 

47 

3694 

3738 

3781 

3825 

3869 

3913 

12 

47 

9421 

9465 

9508 

9552 

9595 

9689 

12 

48 

3957 

4ooi 

4o45 

4089 

4i33 

4177 

II 

48 

9682 

9726 

9769 

98x8 

9856 

9900 

XI 

49 

4220 

4264 

43o8 

4352 

4396 

4440 

10 

49 

9943 

9987 

..3o 

..74 

.1x7 

.  160 

10 

5o 

9.874484 

4528 

4572 

46i5 

4659 

4703 

9 

5o 

9.890204 

0247 

029X 

0834 

0878 

0421 

9 

5 1 

4747 

4791 

4835 

4879 

4923 

4966 

8 

5i 

o465 

o5o8 

o552 

0595 

0689 

0682 

8 

52 

5oio 

5o54 

5098 

5i42 

5i86 

523o 

7 

52 

0725 

0769 

08x2 

o856 

0899 

0943 

7 

53 

5273 

5317 

536i 

54o5 

5449 

5493 

6 

53 

0986 

io3o 

1073 

I  xx6 

ix6o 

X203 

6 

54 

5537 

558o 

5624 

5668 

5712 

5756 

5 

54 

1247 

1290 

i334 

1877 

X42X 

1 464 

5 

55 

58oo 

5843 

5887 

5931 

5975 

6019 

4 

55 

i5o7 

i55i 

1594 

1688 

x68x 

1725 

4 

56 

6o63 

6107 

6i5o 

6194 

6238 

6282 

3 

56 

1768 

1811 

i855 

1898 

1942 

1985 

3 

57 

6326 

6370 

64[3 

6457 

65oi 

6545 

2 

57 

2028 

2072 

21X5 

2x59 

2202 

2246 

2 

58 

6589 

6632 

6676 

6720 

6764 

6808 

I 

58 

2289 

2332 

2876 

2419 

2463 

25o6 

I 

59 

6852 

6895 

6939 

6983 

7027 

7071 

0 

59 

2549 

2593 

2636 

2680 

2728 

2766 

0 

60" 

50" 

40" 

30" 

20" 

10" 

a 

60" 

50" 

40" 

30" 

20'   10" 

d 

Co-tangent  of  53  Degrees. 

Co-tangent  of  52  Degrees. 

P  v.rf  i  1'  2"  3"  4"  5"  6"  7"  8"  9" 
r.  i-art  |  4  9  13  jg  23  26  31  35  40 

P  P.rJl"  2"  3"  4"  5"  6"  7"  8"  9' 
r.rart^^  9  13  17  22  26  31  35  39 

G2 


Logarithmic   Sines. 


ii 

Sine  of  38  Degrees. 

Sine  of  39  Degrees. 

0" 

10" 

20" 

30" 

40" 

_bvr_ 

0" 

10" 

20" 

30' 

40" 

50" 

o 

9.789342 

9369 

9396 

9423 

9450 

9477 

59 

0 

9.798872 

8898 

8924 

8950 

8976 

9002 

59 

I 

J      1       J 

9604 

9531 

9557 

9584 

961  1 

9638 

58 

I 

9028 

9054 

9080 

9106 

9132 

9i58  30  1 

2 

9665 

9692 

9719 

9746 

9773 

9800 

57 

2 

9184 

9210 

9236 

9262 

9287 

93i3 

37 

3 

9827 

9854 

9880 

9907 

9934 

9961 

56 

3 

9339 

9365 

9391 

9417 

9443 

9469 

56 

4 

9988 

9.790149 

o3io 

..i5 

..42 

..69 

..96 

.  122 

55 

4 

9495 

9521 

9547 

9573 

9599 

9625 

55 

5 

0176 

0203 

023o 

0257 

0284  54 

5 

9651 

9677 

9703 

9728 

9754 

9780 

54 

6 

0337 

o364 

0391 

o4i8 

0445  53 

6 

9806 

9832 

9858 

9884 

9910 

9936 

53 

7 

0471 

0498 

o525 

o552 

0579 

0606,52 

7 

9962 

9987 

..i3 

..39 

..65 

..91 

52 

/ 

8 

o632 

0659 

0686 

0713 

0740 

0767,51 

8 

9.8001 17 

0143 

0169 

0195 

0220 

0246 

5i 

9 

lO 

07q3 

0820 

0847 

0874 

0901 

0927  5o 

9 

0272 

0298 

o324 

o35o 

0376 

o4oi 

5o 

9.790954 
1 1 15 

0981 

1008 

io34 

1061 

1088  49 

10 

9.800427 

0453 

0479 

o5o5 

o53i 

o556 

49 

1 1 

I  l42 

1168 

1195 

1222 

124948 
1409  47 

II 

o582 

0608 

o634 

0660 

0686 

071 1 

48 

I  2 

1275 

l302 

1329 

i356 

i382 

12 

0737 

0763 

0789 

o8i5 

o84o 

0866 

47 

i3 

i436 

i463 

1489 

i5i6 

i543 

1570 

46 

i3 

0892 

0918 

0944 

0969 

0995 

1021 

46 

i4 

i5g6 

1623 

i65o 

1676 

1703 

1730 

45 

i4 

1047 

1073 

1098 

1 124 

I  i5o 

1176 

45 

i5 

7 

1757 

1783 

1810 

1837 

i863 

1890 

44 

i5 

1201 

1227 

1253 

1279 

i3o5 

i33o 

44 

i6 

1917 

1943 

1970 

1997 

2024 

2o5o 

43 

16 

i356 

i382 

i4o8 

1433 

1459 

i485 

43 

I? 

i8 

2077 

2104 

2i3o 

2i57 

2184 

2210 

42 

17 

i5i  I 

i536 

i562 

i588 

1 61 3 

1639 

42 

2237 

2264 

2290 

23i7 

2344 

2370 

4i 

18 

i665 

1691 

1716 

1742 

1768 

1794 

4i 

19 

2397 

2423 

2450 

2477  25o3 

253o 

4o 

19 

1819 

1845 

1871 

1896 

1922 

1948 

4o 

20 

9.792557 

2583 

2610 

2636 

2663 

2690 

39 

20 

9.801973 

1999 

2025 

2o5l 

2076 

2102 

39 

21 

7        1    J                  ' 

2716 

2743 

2770 

2796 

2823 

2849 

38 

21 

2128 

2i53 

2179 

22o5 

223o 

2256 

38 

22 

2876 

2903 

2929 

2956 

2982 

3009 

37 

22 

2282 

23o7 

2333 

2359 

2384 

2410 

37 

23 

3o35 

3062 

3089 

3ii5 

3l42 

3i68 

36 

23 

2436 

2461 

2487 

25l2 

2538 

2564 

36 

24 

3195 

3222 

3248 

3275 

33oi 

3328 

35 

24 

2589 

26i5 

2641 

2666 

2692 

2718 

35 

25 

3354 

338i 

3407 

3434 

3460 

3487 

34 

25 

2743 

2769 

2794 

2820 

2846 

2871 

34 

26 

35i4 

3540 

3567 

3593 

3620 

3646 

33 

26 

2897 

2922 

2948 

2974 

2999 

3o25 

33 

27 

3673 

3699 

3726 

3752 

3779 

38o5 

32 

27 

3o5o 

3076 

3 1 02 

3i27 

3i53 

3178 

32 

28 

3832 

3858 

3885 

3911 

3938 

3964 

3i 

28 

32o4 

3229 

3255 

3281 

33o6 

3332 

3i 

29 

3991 

4017 

4o44 

4070 

4097 

4l23 

3o 

29 

3357 

3383 

3408 

3434 

3459 

3485 

3o 

So 

9.794150 

4176 

42o3 

4229 

4255 

4282 

29 

3o 

9  8o35ii 

3536 

3562 

3587 

36i3 

3638 

29 

3i 

43o8 

4335 

436 1 

4388 

44i4 

4441 

28 

3i 

3664 

3689 

3715 

3740 

3766 

3791 

28 

32 

4467 

4493 

4520 

4546 

4573 

4599 

27 

32 

3817 

3842 

3868 

3893 

3919 

3944 

27 

33 

4626 

4652 

4678 

4705 

4731 

4758 

26 

33 

3970 

3995 

4021 

4o46 

4072 

4097 

26 

34 

4784 

4810 

4837 

4863 

4890 

4916 

25 

34 

4i23 

4i48 

4174 

4199 

4225 

425o 

25 

35 

4942 

4969 

4995 

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5o48 

5074 

24 

35 

4276 

43oi 

4327 

4352 

4377 

44o3 

24 

36 

5ioi 

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5i54 

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5206 

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23 

36 

4428 

4454 

4479 

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23 

3? 

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5285 

53i2 

5338 

5364 

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22 

37 

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4607 

4632 

4657 

4683 

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22 

38 

5417 

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5470 

5496 

5522 

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21 

38 

4734 

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48io 

4835 

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21 

39 

5575 

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39 

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19 

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5917 

5943 

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6022 

18 

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5191 

5216 

5242 

5267 

5292 

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42 

6049 

6075 

6101 

6127 

6i54 

6180 

17 

42 

5343 

5368 

5394 

5419 

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5470 

17 

43 

6206 

6233 

6259 

6285 

63ii 

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16 

43 

5495 

5520 

5546 

5571 

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44 

6364 

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5647 

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6600 

6626 

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45 

5799 

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6705 

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54 

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54 

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55 

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2 

58 

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8586 

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58 

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59 

8716 

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59 

7917 

7942 

7967 

7992 

8017 

8o42 

0 

.  a 

s 

60" 

50" 

1  40" 

30" 

20' 

10" 

_  c 

GO"   1  50" 

1  40" 

30" 

20" 

10" 

Co-sine  of  51  Degrees. 

g 

Co-sine  of  50  Degrees. 

„  ,  (  1"  2"  3"  4"  5"  6"  7"  8" 

9" 

XI 

„  J  1"  2"  3"  4"  5"  6"  7"  8"  9" 

P 

•^^^^\^    5   8  11  13  16  19  21  24   '^ 

•^^^^■<3  5  8  10  13  15  18  20  23 

Logarithmic 

Tangents 

• 

63 

3 

Tangent  of  38  Degrees. 

s 

Tangent  of  39  Degrees. 

0" 

10" 

20" 

30" 

40" 

50" 

0" 

10"   20" 

30"   40" 

50" 

o 

9.892810 

2853 

2897 

2940 

2983 

3027 

59 

0 

9.908369 

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8628 

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3 

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4 

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4068 

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5 

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54 

5 

9660 

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9746 

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6 

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6 

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7 

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7 

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8 

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9.895412 

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6491 

6533 

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1210 

1253  1297 

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27 

32 

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6705 

6748 

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27 

33 

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1426 

1469 

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33 

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6919 

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9.903197 

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48 

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52 

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53 

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53 

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54 

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5 

54 

2274 

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2402 

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5 

55 

7077 

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4 

55 

253c 

2573 

2616 

2659 

2702 

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4 

5e 

7336 

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7422 

7465 

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7551 

3 

56 

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2873 

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5/ 

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7637 

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7723 

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2 

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3129 

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of   / 

2 

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7852 

7896 

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7982  802^ 

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56 

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)  0 

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,    355-; 

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3642 

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3728 

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0 

60"     50" 

40" 

30" 

30" 

10" 

^  0 

60"     50' 

1  40" 

20" 

1  10" 

.6 

Co-tangent  of  51  Degrees. 

Co-tangent  of  50  Degrees. 

^ 

P. 

„  J  1"  2"    3"  4"  5"  6"  7"  8"  9" 
^^'^)4:     9  13  17  22  26  30  35  39 

pp  Jl"  2"  3"  4"  5"  6"  7"  8"  9" 
P.  Part  j  4  9  13  17  21  26  30  34  39 

64 


Logarithmic   Sines. 


Sine  of  40  Degrees. 

ii 

Sine  of  41  Degrees. 

0" 

10" 

20" 

30" 

1  40"   50" 

0"     10" 

20"   30" 

40"  1  50" 

O 

9.808067 

8093 

8118 

8143 8168 

8193 

59 

0 

9.816943  6967 

6991 

7016 

7040I7064 

59 

I 

8218 

8243 

8268 

82938318 

8343 

58 

I 

7088 

71 12 

7137 

7161 

7185 

7209 

58 

2 

8368 

8393 

8419 

8444  8469 

8494 

57 

2 

7233 

7258 

7282 

7306 

7330 

7354 

57 

3 

85i9 

8544 

8569 

8594  8619 

8644 

56 

3 

7379 

74o3 

7427 

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7475 

7499 

56 

4 

8669 

8694 

8719 

8744 

8769 

8794 

55 

4 

7524 

7548 

7572 

7596 

7620 

7644 

55 

5 

8819 

8844 

8869 

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8944 

54 

5 

7668 

7693 

7717 

7741 

7765 

7789 

54 

6 

8969 

8994 

9019 

9044 

9069 

9094 

53 

6 

7813 

7837 

7862 

7886 

7910 

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53 

7 

9119 

9144 

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9194 

9219 

9244 

52 

7 

7958 

7982 

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52 

8 

9269 

9294  9319 

9344 

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8 

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8175 

8199 

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9 

9419 

9444 

9469 

9494 

9519 

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9 

8247 

8272 

8296 

8320 

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10 

9.809569 

9594 

9619 

9643 

9668 

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49 

10 

9.818392 

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49 

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9718 

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48 

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8536 

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8584 

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48 

12 

9868 

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47 

12 

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18 

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19 

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19 

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20 

9.811061 

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1160 

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39 

20 

9.819832 

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9880 

9904 

9928  9952 

39 

21 

1210 

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1259 

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38 

21 

9976 

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38 

22 

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22 

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23 

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34 

25 

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34 

26 

1952 

1977 

2001 

2026 

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26 

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0717 

0740 

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0812 

33 

27 

2100 

2125 

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2174 

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2224 

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27 

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32 

28 

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2322 

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1074 

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29 

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29 

1122 

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1169 

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9.812544 

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9.821265 

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1 384 

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2692 

2717 

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2988 

3oi2 

3o37 

3062 

3o86 

3ii  I 

26 

33 

1693 

1716 

1740 

1764 

1788 

1811 

26 

34 

3i35 

3i6o 

3i85 

3209 

3234 

3258 

25 

34 

i835 

1859 

i883 

1906 

1930 

1954 

25 

35 

3283 

33o7 

3332 

3357 

338i 

3406 

24 

35 

1977 

2001 

2025 

2049 

2072 

2096 

24 

36 

3430 

3455 

3479 

35o4 

3529 

3553 

23 

36 

2120 

2i44 

2167 

2191 

22l5 

2238 

23 

37 

3578 

36o2 

3627 

365i 

3676 

3700 

22 

37 

2262 

2286 

2309 

2333 

2357 

238i 

22 

38 

3725 

3749 

3774 

3799 

3823 

3848 

21 

38 

24o4 

2428 

2452 

2475 

2499 

2523 

21 

39 

3872 

3897 

3921 

3946 

3970 

3995 

20 

39 

2546 

2570 

2594 

2617 

2641 

2665 

20 

40 

9.814019 

4o44 

4068 

4093 

4117 

4i42 

19 

4o 

9.822688 

2712 

2736 

2759 

2783 

2807 

19 

4i 

4i66 

4191 

42i5 

4240 

4264 

4289 

18 

4i 

283o 

2854 

2878 

2901 

2925 

2948 

18 

42 

43i3 

4338 

4362 

4387 

44ii 

4436 

17 

42 

2972 

2996 

3019 

3o43 

3067 

3090 

17 

43 

446o 

4484 

4509 

4533 

4558 

4582 

16 

43 

3ii4 

3i37 

3i6i 

3i85 

3208 

3232 

16 

44 

4607 

463i 

4656 

468o 

4704 

4729 

i5 

44 

3255 

3279 

33o3 

3326 

335o 

3373 

i5 

45 

4753 

4778 

4802 

4827 

485i 

4876 

14 

45 

3397 

3421 

3444 

3468 

3491 

35i5 

i4 

46 

4900 

4924 

4949 

4973 

4998 

5022 

i3 

46 

3539 

3562 

3586 

3609 

3633 

3656 

i3 

47 

5o46 

5071 

5095 

5l20 

5i44 

5i68 

12 

47 

368o 

3704 

3727 

3751 

3774 

3798 

12 

48 

5193 

5217 

5242 

5266 

5290 

53i5 

II 

48 

3821 

3845 

3868 

3892 

3915  3939 

II 

49 

5339 

5364 

5388 

54i2 

5437 

5461 

10 

49 

3963 

3986 

4oio 

4o33 

4o57  4080 

10 

5o 

9.8i5485 

55io 

5534 

5558 

5583 

56o7 

9 

5o 

9.824104 

4127 

4i5i 

4174 

4198  4221 

9 

5i 

5632 

5656 

568o 

5705 

5729 

5753 

8 

5i 

4245 

4268 

4292 

43i5 

43394362 

8 

52 

5778 

58o2 

5826 

585i 

5875 

5899 

7 

52 

4386 

4409 

4433 

4456 

448o45o3 

7 

53 

5924 

5948 

5972 

5996 

6021 

6045 

6 

53 

4527 

455o 

4574 

4597 

4621I4644 

6 

54 

6069 

6094 

6118 

6142 

6167 

6191 

5 

54 

4668 

4691 

47i5 

4738 

476i'4785 

5 

55 

62 1 5 

6240 

6264 

6288 

63i2 

6337 

4 

55 

4808 

4832 

4855 

4879 

4902  4926 
5o43  5o66 

4 

56 

636i 

6385 

6409 

6434 

6458 

6482 

3 

56 

4949 

4972 

4996 

5019 

3 

57 

65o7 

653i 

6555 

6579 

6604 

6628 

2 

57 

Sogo 

5ii3 

5io6 

5 1 60 

5i83|5207 

2 

58 

6652 

6676 

6701 

6725 

6749 

6773 

I 

58 

523o 

5254 

5277 

53oo 

5324:534? 
5464:5488 

I 

59 

6798 

6822 

6846 

6870 

6894 

6919 

0 

59 

5371 

5394 

5417 

5441 

0 

P.P 

60" 

50" 

40" 

30" 

20" 

10" 

60" 

50" 

40" 

30" 

20"  1  10" 

Co-sine  of  49  Degrees. 

Co-sine  of  48  Degrees. 

.  ,jl"  2"  3"  4"  5"  6"  7"  8"  9" 
^  (3  5  7  10  12  15.  17  20  22 

P  p«,f  J  1"  2"  3"  4"  5"  6"  7"  8"  9" 
r.rari  ^  2  5   7  10  12  14  17  19  21 

LOGAEITHMIO 

Tangents. 

61 

Tangent  of  40  Degrees. 

- 

.s 

Tangent  of  41  Degrees. 

0" 

10" 

SO" 

30" 

40" 

50" 

0" 

10" 

20" 

30" 

40" 

50" 

0 

9.92381Z 

3856 

3899 

3942 

3985  4027  59 

0 

9.939i6>: 

9206 

9248 

9291 

9333 

937G 

59 

I 

4070 

4ii3 

4i5b 

4198 

4241 

4284 

58 

I 

9418 

9461 

95o3 

9546 

9588 

9631 

58 

2 

4327 

4369 

44i2 

4455 

4498 

4540 

57 

2 

9673 

9716 

9758 

9801 

9843 

9886 

57 

3 

4583 

462b 

4669 

4711 

4754 

4797 

56 

3 

9928 

9971 

..i3 

..56 

..98 

.i4i 

56 

4 

484o 

4882 

4925 

4968 

5oi  I 

5o53 

55 

4 

9.940183 

0226 

0268 

o3i  I 

o354 

0396 

55 

5 

5096 

5i39 

5i8i 

5224 

5267 

53io 

54 

5 

0439 

o48i 

o524 

o566 

0609 

o65i 

54 

6 

5352 

5395 

5438 

5481 

5523 

5566 

53 

6 

0694 

0736 

0779 

0821 

0864 

0906 

53 

7 

5609 

5652 

5694 

5737 

5780 

5822 

52 

7 

0949 

0991 

io34 

1076 

1119 

I  161 

52 

8 

5865 

5908 

595. 

5993 

6o36 

6079 

5i 

8 

I204 

1246 

1289 

i33i 

1374 

i4i6 

5i 

9 

6122 

6164 

6207 

625o 

6292 

6335 

5o 

9 

1459 

i5oi 

1 544 

i586 

1628 

1671 

5o 

10 

9.926378 

6421 

6463 

65o6 

6549 

6591 

49 

10 

9-941713 

1756 

1798 

i84i 

i883 

1926 

49 

1 1 

6634 

6677 

6720 

6762 

68o5 

6848 

48 

II 

1968 

201 1 

2o53 

2096 

2i38 

2181 

48 

12 

6890 

6933 

6976 

7019 

7061 

7104 

47 

12 

2223 

2266 

23o8 

235i 

2393 

2436 

47 

i3 

7147 

7189 

7232 

7275 

7317 

7360 

46 

i3 

2478 

2521 

2563 

2606 

2648 

2691 

46 

i4 

74o3 

7446 

7488 

753i 

7574 

7616 

45 

i4 

2733 

2776 

2818 

2861 

2903 

2945 

45 

i5 

7659 

7702 

7744 

7787 

783o 

7872 

44 

i5 

2988 

3o3o 

3073 

3ii5 

3i58 

3200 

44 

i6 

7915 

7958 

8001 

8043 

8086 

8129 

43 

16 

3243 

3285 

3328 

3370 

34i3 

3455 

43 

17 

8171 

8214 

8257 

8299 

8342 

8385 

42 

17 

3498 

3540 

3583 

3625 

3667 

3710 

42 

i8 

8427 

8470 

85i3 

8555 

8598 

864i 

4i 

18 

3752 

3795 

3837 

388o 

3922 

3965 

4i 

'9 

8684 

8726 

8769 

8812 

8854 

8897 

4o 

19 

4007 

4o5o 

4092 

4i35 

4177 

4219 

4o 

20 

g. 928940 

8982 

9025 

9068 

91 10 

9153 

39 

20 

9.944262 

43o4 

4347 

4389 

4432 

4474 

39 

21 

9196 

9238 

9281 

9324 

9366 

9409 

38 

21 

4517 

4559 

4602 

4644 

4686 

4729 

38 

22 

9452 

9494 

9537 

9580 

9622 

9665 

37 

22 

4771 

48i4 

4856 

4899 

4941 

4984 

37 

23 

9708 

9750 

9793 

9836 

9878 

9921 

36 

23 

6026 

5069 

5i  1 1 

5i53 

5196 

5238 

36 

24 

9964 

...6 

..49 

..92 

.134 

.177 

35 

24 

5281 

5323 

5366 

5408 

545 1 

5493 

35 

25 

9.930220 

0262 

o3o5 

o348 

0390 

0433 

34 

25 

5535 

5578 

5620 

5663 

5705 

5748 

34 

26 

0475 

o5i8 

o56i 

o6o3 

o646 

0689 

33 

26 

5790 

5832 

5875 

5917 

5960 

6002 

33 

27 

0731 

0774 

0817 

0859 

0902 

0945 

32 

27 

6045 

6087 

6i3o 

6172 

6214 

6257 

32 

28 

0987 

io3o 

1073 

iii5 

ii58 

1200 

3i 

28 

6299 

6342 

6384 

6427 

6469 

65ii 

3i 

29 

1243 

1286 

i328 

1371 

i4i4 

i456 

3o 

29 

6554 

6596 

6639 

6681 

6724 

6766 

3o 

3o 

9.931499 

l542 

i584 

1627 

1669 

1712 

29 

3o 

9.946808 

685i 

6893 

6936 

6978 

7021 

29 

3i 

1755 

1797 

i84o 

i883 

1925 

1968 

28 

3 1 

7063 

7105 

7148 

7190 

7233 

7275 

28 

32 

2010 

2o53 

2096 

2i38 

2181 

2224 

27 

32 

73i8 

7360 

74o2 

7445 

7487 

7530 

27 

33 

2266 

2309 

235i 

2394 

2437 

2479 

26 

33 

7572 

7614 

7657 

7699 

7742 

7784 

26 

34 

2522 

2565 

2607 

265o 

2692 

2735 

25 

34 

7827 

7869 

791 1 

7954 

7996 

8039 

25 

35 

2778 

2820 

2863 

2906 

2948 

2991 

24 

35 

8081 

8123 

8166 

8208 

825i 

8293 

24 

36 

3o33 

3076 

3i  19 

3i6i 

3  204 

3246 

23 

36 

8335 

8378 

8420 

8463 

85o5 

8548 

23 

37 

3289 

3332 

3374 

3417 

3459 

35o2 

22 

37 

8590 

8632 

8675 

8717 

8760 

8802 

22 

38 

3545 

3587 

363o 

3672 

3715 

3758 

21 

38 

8844 

8887 

8929 

8972 

9014 

9o56 

21 

39 

38oo 

3843 

3885 

3928 

3971 

4oi3 

20 

39 

9099 

9141 

9184 

9226 

9268 

931 1 

20 

4o 

9.934056 

4098 

4i4i 

4i84 

4226 

4269 

19 

4o 

9.949353 

9396 

9438 

9480 

9523 

9565 

19 

4i 

43ii 

4354 

4397 

4439 

4482 

4524 

18 

4i 

9608 

9650 

9692 

9735 

9777 

9819 

18 

42 

4567 

4610 

4652 

4695 

4737 

4780 

17 

42 

9862 

9904 

9947 

9989 

..3i 

..74 

17 

43 

4822 

4865 

4908 

4950 

4993 

5o35 

16 

43 

9.9501 16 

0159 

0201 

0243 

0286 

o328 

16 

44 

5078 

5l2I 

5i63 

5206 

5248 

5291 

i5 

44 

0371 

o4i3 

0455 

0498 

o54o 

o582 

i5 

45 

5333 

5376 

5419 

5461 

55o4 

5546 

i4 

45 

0625 

0667 

0710 

0752 

0794 

0837 

i4 

46 

5589 

5632 

5674 

5717 

5759 

58o2 

i3 

46 

0879 

0921 

0964 

1006 

1049 

1 09 1 

i3 

47 

5844 

5887 

5930 

5972 

6oi5 

6o57 

12 

47 

ii33 

1176 

1218 

1261 

i3o3 

1 345 

12 

48 

6100 

6142 

6i85 

622756270 

63i3 

1 1 

48 

1 388 

i43o 

1472 

i5i5 

1557 

1600 

II 

49 

6355 

6398 

644o 

64836525 

6568 

10 

49 

1642 

1684 

1727 

1769 

1811 

i854 

ID 

5o 

9.93661 1 

6653 

6696 

67386781 

6823 

9 

5o 

9.951896 

1928 

1981 

2023 

2066 

2108 

9 

5i 

6866 

6908 

6951 

6994 

7o36 

7079 

8 

5i 

2i5o 

2193 

2235 

2277 

2320 

2362 

8 

52 

7121 

7164 

7206 

7249 

7291 

7334 

7 

52 

24o5 

2447 

2489 

2532 

2574 

2616 

7 

53 

7377 

7419 

7462 

75o4 

7547 

7589 

6 

53 

2659 

2701 

2743 

2786 

2828 

2870 

6 

54 

7632 

7674 

7717 

77597802 

7845 

5 

54 

2913 

2955 

2998 

3o4o 

3082 

3i25 

5 

55 

7887 

7930 

7972 

8oi58o57 

8100 

4 

55 

3167 

3209 

3252 

3294 

3336 

3379 

4 

56 

8142 

8i85 

8227 

8270  83i2 

8355 

3 

56 

3421 

3463 

35o6 

3548 

3591 

3633 

3 

57 

8398 

844o 

8483 

8525,8568 

8610 

2 

57 

3675 

3718 

3760 

38o2 

3845 

3887 

2 

58 

8653 

8695 

8738 

87808823 

8865 

I 

58 

3929 

3972 

4oi4 

4o56 

4099 

4i4i 

I 

59 

8908 

8950 

8993 
40" 

90359078 

9121 

0 

59 

4i83 

4226 

4268 

43io 

4353 

4395 

0 

60" 

SO- 

30"  1  20"  1  10" 

c 

60" 

50"  !  40"  1 

30" 

20" 

10" 

Co-tangent  of  49  Degrees. 

s 

Co-tangent  of  48  Degrees. 

p  p^  .  i  1"  2"  3"  4"  5"  6"  7"  8"  9" 
f-'-art-^^  9  13  17  21  26  30  34  38 

P.] 

P„J1"  2"  3"  4"  5"  6"  7"  8"  ! 
^"M*  8  13  17  21  25  30  34  3 

J" 
8 

E 


66 


Logarithmic   Sines. 


Sine  of  42  Degrees. 

Sine  of  43  Degrees. 

0" 

10" 

20" 

30" 

40" 

50" 

0" 

10" 

20"  1  30" 

40"  1  50"  1 

O 

□.8255i I 
565i 

5534 

5558 

558i 

56o4 

5628 

59 

0 

9.833783 

38o6 

3828  385i 

3874 

3896 

59^ 

I 

5675 

5698 

5721 

5745 

5768 

58 

I 

3919 

3941 

3964  3986 

4009 

4o32 

58 

2 

5791 
5931 
6071 
621 1 

58i5 

5838 

586i 

5885 

5908 

57 

2 

4o54 

4077 

4099  4122 

4i44 

4167 

57 

3 

5955 

5978 

6001 

6025 

6o48 

56 

3 

4189 

4212 

4234  4257 

4280 

43o2 

56 

4 

6095 
6235 

6118 

6i4i 

6i65 

6188 

55 

4 

4325 

4347 

4370^4392 

44i5 

4437 

55 

5 

6258 

6281 

63o5 

6328 

54 

5 

4460 

4482 

45o5,4527 

455o 

4572 

54 

6 

635i 

6375 

6398 

6421 

6444 

6468 

53 

6 

4595 

4617 

464o  4662 

4685 

4707 

53 

7 
8 

6491 
663i 

65i4 

6538 

656i 

6584 

6607 

52 

7 

4730 

4752 

4775 

4797 

4820 

4842 

52 

6654 

6677 

6701 

6724 

6747 

5i 

8 

4865 

4887 

4910 

4932 

4954 

4977 

5i 

0 

6770 

6794 

6817 

684o 

6863 

6887 

5o 

9 

4999 

5o22 

5o44 

5067 

5089 

5i  12 

5o 

7 

lO 

9.826910 
7049 

6933 

6956 

6980 

7003 

7026 

49 

10 

9.835i34 

5i57 

5179 

5201 

5224 

5246 

49 

II 

7073 

7096 

7119 

7142 

7165 

48 

1 1 

5269 

5291 

53i4 

5336 

5358 

538i 

48 

12 

7189 

7212 

7235 

7258 

7282 

73o5 

47 

12 

54o3 

5426 

5448 

5471 

5493 

55i5 

47 

i3 

73287351 

7374 

7398 

7421 

7444 

46 

i3 

5538 

556o 

5583 

56o5 

5627 

565o 

46 

i4 

7467 

7490 

75i4 

7537 

7560 

7583 

45 

i4 

5672 

5695 

5717 

5739 

5762 

5784 

45 

i5 

7606 

7629 

7653 

7676 

7699 

7722 

44 

i5 

5807 

5829 

585i 

5874 

5896 

5918 

44 

i6 

7745 

7768 

7792 

7815 

7838 

7861 

43 

16 

5941 

5963 

5986 

6008 

6o3o 

6o53 

43 

17 

7884 

7907 

7931 

7954 

7977 

8000 

42 

17 

6075 

6097 

6120 

6i42 

6 1 64 

6187 

42 

i8 

8023 

8o46 

8069 

8093 

8116 

8139 

4i 

18 

6209 

623i 

6254 

6276 

6298 

6321 

4i 

iq 

8162 

8i85 

8208 

8231 

8254 

8278 

4o 

19 

6343 

6365 

6388  6410 

6432 

6455 

40 

7 

20 

9.828301 

8324 

8347 

8370 

8393 

84i6 

39 

20 

9.836477 

6499 

6522  6544 

6566 

6589 

39 

21 

8439 

8462 

8485 

85o9 

8532 

8555 

38 

21 

6611 

6633 

66566678 

6700 

6722 

38 

22 

8578 

8601 

8624 

8647 

8670 

8693 

37 

22 

6745 

6767 

6789 

6812 

6834 

6856 

37 

23 

8716 

8739 

8762 

8786 

8809 

8832 

36 

2  3 

6878 

6901 

6923 

6945 

6968 

6990 

36 

24 

8855 

8878 

8901 

8924 

8947 

8970 

35 

24 

7012 

7034 

7057 

7079 

7101 

7123 

35 

25 

8993 

9016 

9039 

9062 

9085 

9108 

34 

25 

7146 

7168 

7190 

7212 

7235 

7257 

34 

26 

9i3i 

9154 

9177 

9200 

9223 

9246 

33 

26 

7279 

7301 

7324 

7346 

7368 

7390 

33 

27 

9269 

9292 

93i5 

9338 

9361 

9384 

32 

27 

7412 

7435 

7457 

7479 

75oi 

7524 

32 

28 

9407 

9430 

9453 

9476 

9499 

9522 

3i 

28 

7546 

7568 

7590 

7612 

7635 

7657 

3i 

29 

9545 

9568  9591 

9614 

9637 

9660 

3o 

29 

7679 

7701 

7723 

7746 

7768 

7790 

3o 

3o 

9.829683 

9706 

9729 

9752 

9775 

9798 

29 

3o 

9.837812 

7834 

7857 

7879 

7901 

7923 

29 

3i 

9821 

9844 

9867 

9890 

9913 

9936 

28 

3i 

7945 

7967 

7990 

8012 

8o34 

8o56 

28 

32 

9959 

9982 

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.  .28 

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27 

32 

8078 

8100 

8123 

8145 

8167 

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27 

33 

9.830097 

0120 

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0188 

021 1 

26 

33 

8211 

8233 

8256 

8278 

83oo 

8322 

26 

34 

0234 

0257 

0280 

o3o3 

o326 

o349 

25 

34 

8344 

8366 

8388 

84io 

8433 

8455 

25 

35 

0372 

0395 

0417 

o44o 

o463 

o486 

24 

35 

8477 

8499 

8521 

8543 

8565 

8587 

24 

36 

o5o9 

o532 

o555 

0578 

0601 

0624 

23 

36 

8610 

8632 

8654 

8676 

8698 

8720 

23 

37 

o646 

0669 

0692 

0715 

0738 

0761 

22 

37 

8742 

8764 

8786 

8808 

883i 

8853 

22 

38 

0784 

0807 

0829 

o852 

0875 

0898 

21 

38 

8875 

8897 

8919 

8941 

8963 

8985 

21 

39 

0921 

0944 

0967 

0989 

1012 

io35 

20 

39 

9007 

9029 

9o5i 

9073 

9095 

9118 

20 

40 

9.83io58 

1081 

I  io4 

1127 

ii49 

1 172 

19 

40 

9.839140 

9162 

9184 

9206 

9228 

9250 

19 

4i 

1 195 

1218 

1241 

1263 

1286 

1 309 

18 

4i 

9272 

9294 

9316 

9338 

9360 

9382 

18 

42 

i332 

i355 

1378 

i4oo 

l423 

i446 

17 

42 

94o4 

9426 

9448 

9470 

9492 

95 1 4 

17 

43 

1469 

1492 

i5r4 

i537 

i56o 

i583 

16 

43 

9536 

9558 

9580 

9602 

9624 

9646 

16 

44 

1606 

1628 

i65i 

1674 

1697 

1720 

i5 

44 

9668 

9690 

9712 

9734 

9756 

9778 

i5 

45 

1742 

1765 

1788 

1811 

i833 

i856 

i4 

45 

9800 

9822 

9844 

9866 

9888 

9910 

i4 

46 

1879 

1902 

1924 

1947 

1970 

1993 

i3 

46 

9932 

9954 

9976 

9998 

.  .20 

..42 

i3 

47 

20l5 

2o38 

2061 

2084 

2106 

2129 

12 

47 

9.840064 

0086 

0108 

oi3o 

0l52 

0174 

12 

48 

2t52 

2175 

2197 

2220 

2243 

2266 

1 1 

48 

0196 

0218 

0240 

0262 

0284 

o3o6 

II 

49 

2288 

23l  1 

2334 

2356 

2379 

2402 

10 

49 

o328 

o35o 

0372 

0393 

o4i5 

0437 

10 

5o 

9.832425 

2447 

2470 

2493 

25i5 

2538 

9 

5o 

9.840459 

o48i 

o5o3 

o525 

o547 

0569 

9 

5i 

256i 

2584 

2606 

2629 

2652 

2674 

8 

5i 

0591 

06 1 3 

o635 

0657 

0678 

0700 

8 

52 

2697 

2720 

2742 

2765 

2788 

2810 

7 

52 

0722 

0744 

0766 

0788 

0810 

o832 

7 

53 

2833 

2856 

2878 

2901 

292/ 

2946 

6 

53 

o854 

0876 

0897 

0919 

0941 

0963 

6 

54 

296^ 

2992 

3oi4 

3o37 

3o6o 

3082 

5 

54 

0985 

1007 

1029 

io5i 

1072 

1094 

5 

55 

3iof 

3 1 28 

3i5c 

3173 

3196 

3218 

4 

55 

II 16 

ii38 

1 160 

1182 

120I 

1226 

4 

56 

•    324i 

3263 

328e 

3309 

333i 

3354 

3 

56 

1247 

1269 

1291 

i3i3 

i335 

i357 

3 

5^ 

r    337^ 

/  339^ 

)3422 

3444 

3467 

3490 

2 

57 

1378 

i4oo 

1422 

i444 

i466 

i488 

2 

56 

S    35i5 

!353f 

)355'; 

r358f 

)36o3 

13625 

I 

58 

i5o9 

i53i 

i553 

1575 

1597 

1619 

I 

5c 

)    364^ 

5  367f 

1369: 

;37if 

)373^ 

^3761 

0 

5^ 

1 64c 

1662 

i684 

1706 

1728 

i74g 

0 

60" 

50"  40" 

1  30"  1  20"   10" 

S 

60" 

50" 

40"  1  30' 

20"  1  10" 

-  _c 

Co-sine  of  47  Degrees. 

Co-sine  of  46  Degrees. 

T,  p  J  1"  2"  3"  4"  5"  6"  7"  8"  9" 
r.  fart  ^2  5  7   9  11  14  16  18  21 

p  p  .  j  1"  2"  3"  4"  5"  6"  7"  8"  9" 
F.fart^  2  4   7   9  11  13  16  18  20 

Logarithmic 

Tangents. 

67 

Tan 

oent  of  42  Decrees. 

0          0 

iS 

Tangent  of  43  Degrees. 

0" 

10" 

20" 

30" 

40" 

50" 

0" 

10' 

20" 

30' 

40" 

50" 

0 

9-954437 

4480 

4522 

4564 

4607 

4649 

59 

0 

9.969656 

9698 

9740 

9783 

9825 

9867 

59 

I 

4691 

4734 

4776 

4819 

486i 

4903 

58 

I 

9909 

9951 

9994 

..36 

..78 

.  120 

58 

2 

4946 

4988 

5o3o 

5073 

5ii5 

5i57 

57 

2 

9 .970162 

0205 

0247 

0289 

o33i 

0373 

57 

3 

5200 

5242 

5284 

5327 

5369 

5411 

56 

3 

o4i6 

o458 

o5oo 

o542 

o584 

0627 

56 

4 

5454 

5496 

5538 

558i 

5623 

5665 

55 

4 

0669 

071 1 

0753 

0796 

o838 

0880 

55 

5 

5708 

5750I5792 

5835 

5877 

5919 

54 

5 

0922 

0964 

1007 

1049 

1091 

ii33 

54 

6 

5961 

6oo4 

I6046 

6088 

6i3i 

6173 

53 

6 

1 175 

1218 

1260 

l302 

1 344 

i386 

53 

7 

62i5 

6258 

63oo 

6342 

6385 

6427 

52 

7 

1429 

1471 

t5i3 

i555 

1597 

i64o 

52 

« 

6469 

65I2J6554 

6596 

6639 

6681 

5i 

8 

1682 

1724 

1766 

1808 

i85i 

1893 

5i 

9 

6723 

6766,6808 

685o 

6893 

6935 

5o 

9 

1935 

1977 

2019 

2062 

2104 

2i46 

5o 

lO 

9.956977 

7020 

7062 

7104 

7146 

7189 

49 

10 

9.972188 

223o 

2273 

23i5 

2357 

2399 

49 

1 1 

7231 

7273 

7316 

7358 

7400 

7443 

48 

1 1 

2441 

2484 

2526 

2568 

2610 

2652 

48 

12 

7485 

7527 

7570 

7612 

7654 

7697 

47 

12 

2695 

2737 

2779 

2821 

2863 

2905 

47 

i3 

7739 

7781 

7823 

7866 

7908 

7950 

46 

i3 

2948 

2990 

3o32 

3074 

3ii6 

3i59 

46 

i4 

7993 

8o35 

8077 

8120 

8162 

8204 

45 

i4 

3201 

3243 

3285 

3327 

3370 

3412 

45 

i5 

8247 

8289 

833i 

8373 

84i6 

8458 

44 

i5 

3454 

3496 

3538 

358i 

3623 

3665 

44 

i6 

85oo 

8543 

8585 

8627 

8670 

8712 

43 

16 

3707 

3749 

3791 

3834 

3876 

3918 

43 

'7 

8754 

8796 

8839 

8881 

8923 

8966 

42 

17 

3960 

4002 

4o45 

4087 

4129 

4171 

42 

i8 

9008 

9o5o 

9093 

9135 

9177 

9219 

4i 

18 

42l3 

4255 

4298 

4340 

4382 

4424 

4i 

19 

9262 

93o4 

9346 

9389 

9431 

9473 

4o 

19 

4466 

4509 

455i 

4593 

4635 

4677 

4o 

20 

9.959516 

9558 

9600 

9642 

9685 

9727 

39 

20 

9.974720 

4762 

48o4 

4846 

4888 

4930 

39 

21 

9769 

9812 

9854 

9896 

9938 

9981 

38 

21 

4973 

5oi5 

5o57 

5099 

5i4i 

5i83 

38 

22 

9.960023 

oo65 

0108 

oi5o 

0192 

0234 

37 

22 

5226 

5268 

53io 

5352 

5394 

5437 

37 

23 

.0277 

o3i9 

o36i 

o4o4 

o446 

o488 

36 

23 

5479 

5521 

5563 

56o5 

5647 

5690 

36 

24 

o53o 

0573 

06 1 5 

0657 

0700 

0742 

35  { 

24 

5732 

5774 

58i6 

5858 

5901 

5943 

35 

25 

0784 

0826 

0869 

091 1 

0953 

0996 

341 

"5 

5985 

6027 

6069 

61 II 

6i54 

6196 

34 

26 

io38 

1080 

1122 

ii65 

1207 

1249 

33 

26 

6238 

6280 

6322 

6364 

6407 

6449 

33 

27 

1292 

i334 

1376 

i4i8 

i46i 

i5o3 

32 

27 

6491 

6533 

6575 

6617 

6660 

6702 

32 

28 

i545 

i587 

i63o 

1672 

I7I4 

1757 

3i 

28 

6744 

6786 

6828 

6870 

6913 

6955 

3i 

29 

1799 

1 84 1 

i883 

1926 

1968 

2010 

3o 

29 

6997 

7039 

7081 

7123 

7166 

7208 

3o 

3o 

9.962052 

2095 

2t37 

2179 

2222 

2264 

29 

3o 

9.977250 

7292 

7334 

7377 

7419 

7461 

29 

3i 

23o6 

2348 

2391 

2433 

2475 

25i7 

28 

3i 

75o3 

7545 

7587 

7630 

7672 

7714 

28 

32 

256o 

2602 

2644 

2686 

2729 

2771 

27 

32 

7756 

7798 

7840 

7882 

7925 

7967 

27 

33 

2813 

2856 

2898 

2940 

2982 

3o25 

26 

33 

8009 

8o5i 

8093 

8i35 

8178 

8220 

26 

34 

3067 

3109 

3i5i 

3194 

3236 

3278 

25 

34 

8262 

83o4 

8346 

8388 

843i 

8473 

25 

35 

3320 

3363 

34o5 

3447 

3489 

3532 

24 

35 

85i5 

8557 

8599 

864i 

8684 

8726 

24 

36 

3574 

36i6 

3659 

3701 

3743 

3785 

23 

36 

8768 

8810 

8852 

8894 

8937 

8979 

23 

37 

3828 

3870 

3912 

3954 

3997 

4o39 

22 

37 

9021 

9063 

9105 

9147 

9190 

9232 

22 

38 

4o8i 

4l23 

4i66 

4208 

425o 

4292 

21 

38 

9274 

9316 

9358 

9400 

9442 

9485 

21 

39 

4335 

4377 

4419 

4461 

45o4 

4546 

20 

39 

9527 

9569 

961 1 

9653 

9695 

9738 

20 

4o 

9.964588 

463o 

4673 

4715 

4757 

4799 

19 

4o 

9.979780 

9822 

9864 

9906 

99-48 

9990 

19 

4i 

4842 

4884 

4926 

4968 

5oi  1 

5o53 

18 

4i 

9.980033 

0075 

0117 

0159 

0201 

0243 

18 

42 

5095 

5i37 

5i8o 

5222 

5264 

53o6 

17 

42 

0286 

0328 

0370 

04l2 

0454 

0496 

17 

43 

5349 

5391 

5433 

5475 

55i8 

556o 

16 

43 

o538 

o58i 

0623 

o665 

0707 

0749 

16 

44 

56o2 

5644 

5687 

5729 

5771 

58i3 

i5 

44 

0791 

0834 

0876 

0918 

0960 

1002 

i5 

45 

5855 

5898 

5940 

5982 

6024 

6067 

i4 

45 

io44 

1086 

1129 

1 171 

I2l3 

1255 

i4 

46 

G109 

6i5i 

6193 

6236 

6278 

6320 

i3 

46 

1297 

1339 

i382 

1424 

i466 

i5o8 

i3 

47 

6362 

64o5 

6447 

6489 

653i 

6574 

12 

47 

i55o 

1592 

1 634 

1677 

1719 

1761 

12 

48 

6616 

6658 

6700 

6742 

6785 

6827 

II 

48 

i8o3 

1845 

1887 

1929 

1972 

20l4 

II 

49 

6869 

691 1 

6954 

6996 

7o38 

7080 

10 

49 

2o56 

2098 

2l4o 

2182 

2224 

2267 

10 

5o 

9.967123 

7i65 

7207 

7249 

7291 

7334 

9 

5o 

9.982309 

235i 

2393 

2435 

2477 

2519 

9 

5i 

7376 

74r8 

7460 

75o3 

7545 

7587 

8 

5i 

2562 

2604 

2646 

2688 

2730 

2772 

8 

52 

7629 

7672 

7714 

7756 

7798 

7840 

7 

52 

2814 

28572899I 

2941 

2983 

3o25 

7 

53 

7883 

7925 

796^ 

8009 

8o52 

8094 

6 

53 

3067 

3109 

3i52 

3194 

3236 

3278 

6 

54 

8i36 

8178 

S220 

8263 

83o5 

8347 

5 

54 

3320 

3362 

34o4 

3447 

3489 

353i 

5 

55 

8389 

8432 

8474 

85i6 

8558 

8600 

4 

55 

3573 

36i5 

3657 

3699 

3742 

3784 

4 

56 

8643 

8685 

8727 

8769 

8812 

8854 

3 

56 

3826 

3868 

3910 

3952 

3994 

4o37 

3 

57 

8896 

8938 

8980 

9023 

9065 

9107 

2 

57 

4079 

4l2I 

4i63 

42o5 

4247 

4289 

2 

58 

9149 

9192 

9234 

9276 

9318 

9360 

I 

58 

4332 

4374 

44i6 

4458 

45oo 

4542 

I 

59 

94o3 

q445 

9487 

9529 

9571 

9614 

0 

59 

4584 

4627 

4669 

4711 

4753 

4795 

0 

60"   1  50"  1  10-  1  30"  '  20" 

10" 

a 

i 

60" 

50" 

40" 

30' 

20" 

10' 

?5 

Co-tan£jent  of  47  Decrees. 

Co-tangent  of  46  Degrees. 

P. 

p„  .  j  1"  2"  3"  4"  5"  6"  7"  8"  9" 
"^^"^  1  4  8  13  17  21  25  30  34  38 

p  p  J  1"  2"  3 '  4"  5"  6"  7"  8"  9" 
^•^^"^H  8  13  17  21  25  30  34  38 

68 


LOGAKITHMIC     SiNES. 


a 

Sine  of  44  Degrees. 

Sine  of  45  Degrees. 

59 

0" 

10" 

20" 

i8i5 

30" 

40" 

50" 

0" 

10" 

20"   30" 

40"  1 

50" 

0 

9.841771 

1793 

1837 

i858 

1880 

59 

0 

9.849485 

9506 

9527  9548  9569 

9590 

I 

7    ^11 

1Q02 

1924 

1946 

1967 

1989 

201  I 

58 

I 

961 1 

9632 

9653 

9674 

969b 

9716 

58 

2 

2o33 

2o55 

2076  2og8| 

2120 

2142 

57 

2 

9738 

9759 

9780 

9801 

9822 

9843 

57 

3 

2i63 

2i85 

2207 

2229 

225o 

2272 

56 

3 

9864 

9885 

9906 

9927 

9948 

9969 

56 

4 

2294 

23i6 

2337 

2359 

238i 

24o3 

55 

4 

9990 

..II 

..32 

..53 

..74 

..95 

55 

5 

2424 

2446 

2468 

2490 

25ll 

2533 

54 

5 

9.85oii6 

0137 

oi58 

0179 

0200 

0221 

54 

6 

2555 

2577 

2598 

2620 

2642 

2663 

53 

6 

0242 

0263 

0284 

o3o5 

d326 

0347 

53 

7 

2685 

2707 

2729 

2750 

2772 

2794 

52 

7 

o368 

o388 

0409 

o43o 

045 1 

0472 

52 

8 

2815 

2837 

2859 

2880 

2902 

2924 

5i 

8 

0493 

o5i4 

o535 

o556 

0577 

0598 

5i 

Q 

2946 

2967 

2989 

3oii 

3o32 

3o54 

5o 

9 

0619 

0640 

0661 

0682 

0703 

0724 

5o 

7 

10 

9.843076 

3097 

3119 

3i4i 

3162 

3i84 

49 

10 

9.850745 

0766 

0787 

0807 

0828 

0849 

49 

1 1 

3206 

3227 

3249 

3271 

3292 

33i4 

48 

II 

0870 

0891 

0912 

0933 

0954 

0975 

48 

12 

3336 

3357 

3379 

3401 

3422 

3444 

47 

12 

0996 

1017 

io38 

io58 

1079!!  lOOl 

47 

i3 

3466 

3487 

35o9!353o 

3552 

3574 

46 

i3 

1 121 

I  l42 

ii63 

ii84 

I205 

1226 

46 

i4 

3595 

3617 

36393660 

3682 

3703 

45 

i4 

1246 

1267 

1288 

1 309 

i33o 

i35i 

45 

i5 

3725 

3747 

3768  3790 

38ii 

3833 

44 

i5 

1372 

1393 

i4i3 

1434 

1455 

1476 

44 

i6 

3855 

3876 

3898 

3919 

3941 

3963 

43 

16 

1497 

i5i8 

1539 

i559 

i58o 

1601 

43 

I? 

3984 

4oo6 

4027 

4o49 

4071 

4092 

42 

17 

1622 

1643 

1664 

i685 

1705 

1726 

42 

iS 

4ii4 

4i35 

4i57 

4178 

4200 

4222 

4i 

18 

1747 

1768 

1789 

1810 

i83o 

i85i 

4i 

'9 

4243 

4265 

4286 

43o8 

4329 

435i 

4o 

19 

1872 

1893 

1914 

1935 

1955 

1976 

4o 

20 

9.844372 

4394 

44i6 

4437 

4459 

4480 

39 

20 

9.851997 

2018 

2039 

2059 

2080 

2101 

39 

21 

45o2 

4523 

4545 

4566 

4588 

4609 

38 

21 

2122 

2143 

2i63 

2184 

2205 

2226 

38 

22 

463i 

4652 

4674 

4696 

4717 

4739 

37 

22 

2247 

2267 

2288 

2309 

233o 

235o 

37 

23 

4760 

4782 

48o3 

4825 

4846 

4868 

36 

23 

2371 

2392 

24l3 

2434 

2454 

2475 

36 

24 

4889 

4911 

4932 

4954 

4975 

4997 

35 

24 

2496 

25i7 

2537 

2558 

2579 

2600 

35 

25 

5oi8 

5o4o 

5o6i 

5o83 

5io4 

5i26 

34 

25 

2620 

2641 

2662 

2683 

2703 

2724 

34 

26 

5i47 

5i68 

5190 

5211 

5233 

5254 

33 

26 

2745 

2766 

2786 

2807 

2828 

2849 

33 

27 

5276 

5297 

5319 

5340 

5362 

5383 

32 

27 

2869 

2890 

291 1 

2931 

2952 

2973 

32 

28 

54o5 

5426 

5447 

5469 

5490 

55i2 

3i 

28 

2994 

3oi4 

3o35 

3o56 

3076 

3097 

3i 

29 

5533 

5555 

5576 

5598 

5619 

564o 

3o 

29 

3ii8 

3i39 

3i59 

3i8o 

3201 

3221 

3o 

3o 

9.845662 

5683 

5705  5726 

5747 

5769 

29 

3o 

9. 853242 

3263 

3283 

33o4 

3325 

3345 

29 

3i 

5790 

58i2 

58335855 

5876 

5897 

28 

3i 

3366 

3387 

3408 

3428 

3449 

3470 

28 

32 

5919 

5940 

59625983 

6oo4 

6026 

27 

32 

3490 

35ii 

3532 

3552 

3573 

3594 

27 

33 

6047 

6069 

6090 

61 1 1 

6i33 

6i54 

26 

33 

36i4 

3635 

3655 

3676 

3697 

3717 

26 

34 

6175 

6197 

6218 

6240 

6261 

6282 

25 

34 

3738 

3759 

3779 

38oo 

3821 

384i 

25 

35 

63o4 

6325 

6346 

6368 

6389 

64io 

24 

35 

3862 

3883 

3903 

3924 

3944 

3965 

24 

36 

6432 

6453 

6474 

6496 

65i7 

6539 

23 

36 

3986 

4oo6 

4027 

4o47 

4o6S 

4089 

23 

37 

656o 

658i 

66o3 

6624 

6645 

6667 

22 

37 

4109 

4i3o 

4i5i 

4171 

4192 

4212 

22 

38 

6688 

6709 

6731 

6752 

6773 

6794 

21 

38 

4233 

4254 

4274 

4295 

43i5 

4336 

21 

39 

6816 

6837 

6858 

6880 

6901 

6922 

20 

39 

4356 

4377 

4398 

44i8 

4439 

4459 

2  0 

4o 

9.846944 

6965 

6986 

7008 

7029 

7o5o 

19 

4o 

9.854480 

45oo 

4521 

4542 

4562 

4583 

19 

4i 

7071 

7093 

7114 

7i35 

7157 

7178 

i8 

4i 

46o3 

4624 

4644 

4665 

4686 

4706 

18 

42 

7199 

7220 

7242 

7263 

7284 

73o5 

17 

42 

4727 

4747 

4768 

4788 

4809 

4829 

17 

43 

7327 

7348 

7369 

7391 

7412 

7433 

16 

43 

485o 

4870 

489] 

49 1 1 

4932 

4953 

16 

44 

7454 

7476 

7497 

7518 

7539 

7561 

i5 

44 

4973 

4994 

5oi4 

5o35 

5o55 

5076 

i5 

45 

7582 

7603 

7624 

7645 

7667 

7688 

i4 

45 

5096 

5i  17 

5i37 

5i58 

5178 

5199 

i4 

46 

7709 

7730 

7752 

7773 

7794 

7815 

i3 

46 

5219 

524o 

5260 

5281 

53oi 

5322 

i3 

47 

7836 

7858 

7879 

7900 

7921 

7943 

12 

47 

5342 

5363 

5383 

54o4 

5424 

5445 

12 

48 

7964 

7985 

8006 

8027 

8049 

8070 

II 

48 

5465 

5485 

55o6 

5526 

5547 

5567 

1 1 

49 

8091 

8112 

8i33 

8i54 

8176 

8197 

ID 

49 

5588 

56o8 

5629 

5649 

5670 

5690 

10 

5o 

9.848218 

8239 

8260 

8282 

83o3 

8324 

9 

5o 

9.855711 

5731 

5751 

5772 

5792 

58i3 

9 

5i 

8345 

8366 

8387 

8409 

843o 

845i 

8 

5i 

5833 

5854 

5874 

5895 

5915 

5935 

8 

52 

8472 

8493 

851418535 

8557 

8578 

7 

52 

5956 

5976 

5997 

6017 

6o38 

6o58 

7 

53 

8599 

8620 

864i  8662 

8683 

8705 

6 

53 

6078 

6099 

61 19 

6 1 40 

6160 

6180 

6 

54 

8726 

8747 

87688789 

8810 

883i 

5 

54 

6201 

6221 

6242 

6262 

6282 

63o3 

5 

55 

8852 

8874 

8895  8916 

8937 

8958 

4 

55 

6323 

6344 

6364 

6384 

64o5 

6425 

4 

56 

8979 

9000 

9021  9042 

9063 

9085 

3 

56 

6446 

6466 

6486 

65o7 

6527 

6547 

3 

57 

9106 

9127 

9148  9169 

9190 

921 1 

2 

57 

6568 

6588 

6609 

6629 

6649 

6670 

2 

58 

9232 

9253 

9274 

9295 

93i6 

9338 

I 

58 

6690 

6710 

6731 

6751 

6771 

6792 

1 

5^ 

9359 

9380 

9401 

9422 

9443 

9464 

0 

59 

6812  6832 

6853 

6873 

6893 

6914 

0 

60"   1  50" 

1  40" 

30" 

20" 

10" 

-  d 

60"     50" 

40" 

30" 

20"  1  10" 

d 

Co-sine  of  45  Degrees. 

Co-sine  of  44  Degrees. 

PP.rJl"  2"  3"  4"  5"  6"  7"  8"  9" 
^•t-art^g  4  6   9  11  13  15  17  19 

„p,Jl"  2"  3"  4"  5"  6"  7"  8"  9" 
P.  Part -j  2  4   6   8  10  12  1'  17  19 

Logarithmic   Tangents. 


69 


.a 

Tangent  of  44  Degrees. 

Tangent  of  45  Degrees. 

59 

0" 

10" 

20" 

30"  1  40"  1  50" 

0" 

10" 

20"  1  30" 

40" 

50" 

o 

9.984837 

4879 

4921 

4964 

5oo6  5o48 

59 

0 

10.000000 

0042 

0084  0126 

0168 

02  I  I 

I 

5090 

5i32 

5174 

5216 

5259*5301 

58 

I 

0253 

0295 

0337 

0379 

0421 

o463 

58 

2 

5343 

5385 

5427 

5469 

55ii  5553:57 

2 

o5o5 

o547 

0590 

o632 

0674 

0716 

57 

3 

5596 

5638 

568o 

5722 

5764580656 

3 

0758 

0800 

0842 

0884 

0926 

0969 

56 

4 

5848 

5891 

5933 

5975 

6017.6059155 

4 

101 1 

io53 

1095 

1137 

I  I  79 

1221 

55 

5 

6101 

6143 

6i85 

6228  6270  63i2 

54 

5 

1263 

i3o5 

I  348 

1390 

l432 

1474 

54 

6 

6354 

6396 

6438 

648o  6523  6565 

53 

6 

i5i6 

i558 

1600 

1642 

1684 

1727 

53 

7 

6607 

6649 

6691 

6733 

6775  6817 

52 

7 

1769 

1811 

i853 

1895 

1937 

1979 

52 

8 

6860 

6go2 

6944 

6986 

7028,7070  5i 

8 

2021 

2o63 

2106 

2i48 

2190 

2232 

5i 

9 

71  ri2 

7i54 

7197 

7239 

728i'7323  5o 

9 

2274 

23i6 

2358 

2400 

2442 

2485 

5o 

lO 

9.987365 

7407 

7449 

7491 

7534:7576 

49 

10 

10.002527 

2569 

261 1 

2653 

2695 

2737 

49 

1 1 

7618 

7660 

7702 

7744  7786  7829 

48 

'11 

2779 

2821 

2864 

2906 

2948 

2990 

48 

12 

7871 

7913 

7955 

7997  8039  8081 

47 

12 

3o32 

3074 

3ii6 

3i58 

3200 

3243 

47 

i3 

8123 

8166 

8208 

825o8292'8334 

46 

i3 

3285 

3327 

3369 

34ii 

3453 

3495 

46 

i4 

8376 

84 1 8 

846o 

85o3 

8545.8587 

45 

i4 

3537 

3579 

3622 

3664 

3706 

3748 

45 

i5 

8629 

8671 

8713 

8755 

8797J8840 

44 

i5 

3790 

3832 

3874 

3916 

3958 

4ooi 

44 

i6 

8882 

8924 

8966 

9008 

9o5o 

9092 

43 

16 

4o43 

4o85 

4127 

4169 

42II 

4253 

43 

I? 

9134 

9177 

9219 

9261 

93o3 

9345 

43 

17 

4295 

4337 

438o 

4422 

4464 

45o6 

42 

i8 

9387 

9429 

9471 

95i3 

955619598 

4i 

18 

4548 

4590 

4632 

4674 

4716 

4759 

4i 

•9 

9640 

9682 

9724 

9766 

98089850 

4o 

19 

48oi 

4843 

4885 

4927 

4969 

5oii 

4o 

20 

9.989893 

9935 

9977 

..19 

..61 

.io3 

39 

20 

io.oo5o53 

5095 

5i38 

5i8o 

5222 

5264 

39 

21 

9.990145 

0187 

023o 

0272 

o3i4 

o356 

38 

21 

53o6 

5348 

5390 

5432 

5474 

5517 

38 

22 

0398 

o44o 

0482 

o524 

o567 

0609 

37 

22 

5559 

56oi 

5643 

5685 

5727 

5769 

37 

23 

o65i 

0693 

0735 

0777 

0819 

0861 

36 

23 

58ii 

5854 

5896 

5938 

5980 

6022 

36 

24 

0903 

0946 

0988 

io3o 

1072 

iii4 

35 

24 

6064 

6106 

6i48 

6190 

6233 

6275 

35 

25 

ii56 

1198 

1240 

1283 

i325 

i367 

34 

25 

63i7 

6359 

64oi 

6443 

6485 

6527 

34 

26 

1409 

i45i 

1493 

i535 

1577 

1620 

33 

26 

6569 

6612 

6654 

6696 

6738 

6780 

33 

27 

1662 

1704 

1746 

1788 

i83o 

1872 

32 

27 

6822 

6864 

6906 

6949 

6991 

7033 

32 

28 

1914 

1956 

1999 

204l 

2o83 

2125 

3i 

28 

7075 

7117 

7159 

7201 

7243 

7285 

3i 

29 

2167 

2209 

225l 

2293 

2336 

2378 

3o 

29 

7328 

7370 

74 1 2 

7454 

7496 

7538 

3o 

3o 

9.992420 

2462 

25o4 

2546 

2588 

263o 

29 

3o 

lo.ooySSo 

7622 

7664 

7707 

7749 

7791 

29 

3i 

2672 

2715 

2757 

2799 

2841 

2883 

28 

3i 

7833 

7875 

7917 

7959 

8ooi 

8044 

28 

32 

2925 

2967 

3009 

3o5i 

3094 

3i36 

27 

32 

8086 

8128 

8170 

8212 

8254 

8296 

27 

33 

3178 

3220 

3262 

33o4 

3346 

3388 

26 

33 

8338 

838o 

8423 

8465 

85o7 

8549 

26 

34 

343i 

3473 

35i5 

3557 

3599 

364 1 

25 

34 

8591 

8633 

8675 

8717 

8760 

8802 

25 

35 

3683 

3725 

3767 

38 10 

3852 

3894 

24 

35 

8844 

8886 

8928 

8970 

9012 

9054 

24 

36 

3936 

3978 

4o20 

4062 

4io4 

4i46 

23 

36 

9097 

9139 

9181 

9223 

9265 

9307 

23 

37 

4189 

423l 

4273 

43i5 

4357 

4399 

22 

37 

9349 

9391 

9433 

9476 

9518 

9560 

22 

38 

444i 

4483 

4526 

4568 

4610 

4652 

21 

38 

9602 

9644 

9686 

9728 

9770 

9813 

21 

39 

4694 

4736 

4778 

4820 

4862 

4905 

20 

39 

9855 

9897 

9939 

9981 

..23 

..65 

20 

4o 

9.994947 

4989 

5o3i 

5073 

5ii5 

5i57 

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40 

10.010107 

oi5o 

0192 

0234 

0276 

o3i8 

19 

4i 

5199 

524i 

5284 

5326 

5368 

5410 

18 

41 

o36o 

0402 

o444 

0487 

o529 

0571 

18 

42 

5452 

5494 

5536 

5578 

5620  5663 

17 

42 

o6i3 

o655 

0697 

0739 

0781 

0823 

17 

43 

5705 

5747 

5789 

583i 

58735915 

16 

43 

0866 

0908 

ogSo 

0992 

io34 

1076 

16 

44 

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5999 

6042 

6o84 

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i5 

44 

1118 

1160 

I203 

1245 

1287 

1329 

i5 

45 

6210 

6252 

6294 

6336 

63786421 

i4 

45 

1371 

i4i3 

1455 

1497 

i54o 

i582 

i4 

46 

6463 

65o5 

6547 

6589 

663i!6673 

i3 

46 

1624 

1666 

1708 

1750 

1792 

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i3 

47 

6715 

6757 

6800 

6842 

6884  6926 

12 

47 

1877 

1919 

1 96 1 

2003 

2045 

2087 

12 

48 

6968 

7010 

7o52 

7094 

7i36  7179 

1 1 

48 

2129 

2171 

22l4 

2256 

2298 

2340 

II 

49 

7221 

7263 

73o5 

7347 

7389 

743i 

10 

49 

2382 

2424 

2466 

2509 

255i 

2593 

10 

5o 

9.997473 

75i5 

7558 

7600 

7642 

7684 

9! 

5o 

IO.OI2635 

2677 

2719 

2761 

2803 

2846 

9 

5i 

7726 

7768 

7810 

7852 

7894 

7937 

8' 

5i 

2888 

2930 

2972 

3oi4 

3o56 

3098 

8 

52 

7979 

8021 

8o63 

8io5 

8147 

8189 

7 

52 

3i4o 

3i83 

3225 

3267 

3309 

335i 

7 

53 

823i 

8273 

83i6 

8358 

84oo 

8442 

6 

53 

3393 

3435 

3477 

3520 

3562 

36o4 

6 

54 

8484 

8526 

8568 

8610 

86528695 

5 

54 

3646 

3688 

3730 

3772 

38i5 

3857 

5 

55 

8737 

8779 

8821 

8863 

8905,8947 

4 

55 

3899 

3941 

3983 

4o25 

4067 

4109 

4 

56 

8989 

903 1 

9074 

91 16 

9i58  9200 

3 

56 

4i52 

4194 

4236 

4278 

4320 

4362 

3 

57 

9242 

9284 

9326 

9368 

9410  9453 

2 

57 

44o4 

4447 

4489 

453i 

4573 

46i5 

2 

58 

9495 

9537 

9579 

9621 

9663*9705 

I 

58 

4657 

4699 

4741 

4784 

4826 

4868 

I 

59 

9747 

9789 

9832 

9874 

9916  9958 

0 

59 

4910 

4952 

4994 

5o36 

5079 

20" 

5l2I 

0 

60" 

50" 

~Jo"' 

30"  1  20"  1  10" 

a 

60" 

50"  1  40" 

30" 

10" 

Co-tangent  of  45  Degrees. 

Co-tangent  of  44  Degrees. 

P.] 

r,.  (1"  2"  3"  4"  5"  6"  7"  8"  9" 
^    (  i  8  13  17  21  25  29  34  38 

„  ^  ,  <  1"  2"  3"  4"  5"  6"  7"  8"  9" 
i-.i-art^^  8  13  17  21  25  29  34  38 

70 


LOGAKITHMIC     SiNES. 


Sine  of  46  Degrees. 

s 

Sine  of  47  Degrees. 

0" 

10" 

20" 

30"   40" 

50" 

!  ^ 

0" 

10" 

20" 

1  30" 

40" 

50" 

0 

'I9. 856934 

6954 

6975 

6995 

7oi5 

7o3e 

59 

0 

9.864127 

4i47 

4167 

i4i86 

4206 

4226 

59 

I 

7o56 

7076 

7097 

7117 

7137 

7i58 

58 

I 

4245 

4265 

4284 

I4304 

4324 

4343 

58 

2 

7178 

7198 

7219 

7239 

7259 

7279 

57 

2 

4363 

4383 

44o2 

4422 

4441 

446 1 

57 

3 

7300 

7320 

7340 

7361 

738i 

7401 

56 

3 

448i 

45oo 

4520 

4539 

4559 

4579 

56 

4 

7422 

7442 

7462 

7482 

75o3 

7523 

55 

4 

4598 

46i8 

4637 

4657 

4676 

4696 

55 

5 

7543 

7563 

7584 

7604 

7621^ 

7645 

54 

5 

4716 

4735 

4755 

4774 

4794 

48j3 

54 

6 

7665 

7685 

7705 

7726 

7746 

7766 

53 

6 

4833 

4853 

4872 

4892 

4911 

4931 

53 

7 

7786 

7807 

7827 

7847 

7867 

7888 

52 

7 

4950 

4970 

4990 

5009 

5029 

5o48 

52 

8 

7908 

7928 

7948 

7968 

7989  8009 

5i 

8 

5o68 

5087 

5 1 07 

5i26 

5i46 

5i65 

5i 

9 

8029 

8049 

8070 

8090 

8iio|8i3o 

5o 

9 

5i85 

52o4 

5224 

5244 

5263 

5283 

5o 

10 

9.858i5i 

8171 

8191 

8211 

823i 

8252 

49 

10 

9.8653o2 

5322 

534i 

536i 

538o 

5400 

49 

II 

8272 

8292 

8312 

8332 

8353 

8373 

48 

II 

5419 

5439 

5458 

5478 

5497 

55i7 

48 

12 

8393 

84i3 

8433 

8454 

8474 

8494 

47 

12 

5536 

5556 

5575 

5595 

56i4 

5634 

47 

i3 

85i4 

8534 

8554 

8575 

8595 

86i5 

46 

i3 

5653 

5673 

5692 

5712 

5731 

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46 

i4 

8635 

8655 

8675 

8696 

8716 

8736 

45 

i4 

5770 

5790 

5809 

5828 

5848 

5867 

45 

i5 

8756 

8776 

8796 

8817 

8837 

8857 

44 

i5 

5887 

5906 

5926 

5945 

5965 

5984 

44 

i6 

8877 

8897 

8917 

8937 

8958 

8978 

43 

16 

6oo4 

6023 

6042 

6062 

6081 

6101 

43 

I? 

8998 

9018 

9o38 

9o58 

9078 

9098 

42 

17 

6120 

6i4o 

6159 

6179 

6198 

6217 

42 

i8 

9119 

9139 

9159 

9179 

9199 

9219 

4i 

18 

6237 

6256 

6276 

6295 

63i5 

6334 

4i 

19 

9239 

9259 

9279 

gSoo 

9320 

9340 

4o 

19 

6353 

6373 

6392 

64i2 

643i 

645o 

4o 

20 

9.859360 

9380 

9400 

9420 

9440 

9460 

39 

20 

9.866470 

6489 

65o9 

6528 

6547 

6567 

39 

21 

9480 

9501 

9521 

9541 

9561 

9581 

38 

21 

6586 

6606 

6625 

6644 

6664 

6683 

38 

22 

9601 

9621 

9641 

9661 

9681 

9701 

37 

22 

6703 

6722 

6741 

6761 

6780 

6800 

37 

23 

9721 

9741 

9761 

9781 

9802 

9822 

36 

23 

6819 

6838 

6858 

6877 

6896 

6916 

36 

24 

9842 

9862 

9882 

9902 

9922 

9942 

35 

24 

6935 

6954 

6974 

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70i3 

7032 

35 

25 

9962 
9.860082 

9982 
0102 

.  •  .  2 

•  .  22 

.  .42 

..62 

34 

25 

7o5i 
7167 

7071 

7187 

7090 
7206 

7109 

7225 

7129 

7245 

7i48 
7264 

34 
33 

26 

0122 

0142 

0162 

0182 

33 

26 

27 

0202 

0222 

0242 

0262 

0282 

o3o2 

32 

27 

7283 

73o3 

7322 

7341 

7361 

7380 

32 

28 

o322 

o342 

o362 

o382 

0402 

0422 

3i 

28 

7399 

7419 

7438 

7457 

7476 

7496 

3i 

29 

0442 

0462 

0482 

o5o2 

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0542 

3o 

29 

75i5 

7534 

7554 

7573 

7592 

7612 

3o 

3o 

9.860562 

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0602 

0622 

0642 

0662 

29 

3o 

9.867631 

7650 

7669 

7689 

7708 

7727 

29 

3i 

0682 

0702 

0722 

0742 

0762 

0782 

28 

3i 

7747 

7766 

7785 

7804 

7824 

7843 

28 

32 

0802 

0822 

0842 

0862 

0882 

0902 

27 

32 

7862 

7882 

7901 

7920 

7939 

7959 

27 

33 

0922 

0941 

0961 

0981 

I  00 1 

1 02 1 

26 

33 

7978 

7997 

8016 

8o36 

8o55 

8074 

26 

34 

io4i 

1061 

1081 

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II2I 

ii4i 

25 

34 

8093 

8ii3 

8i32 

8i5i 

8170 

8190 

25 

35 

1161 

1181 

1201 

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1240 

1260 

24 

35 

8209 

8228 

8247 

8267 

8286 

83o5 

24 

36 

1280 

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i36o 

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23 

36 

8324 

8343 

8363 

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84oi 

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23 

37 

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1439 

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1499 

22 

37 

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8555 

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1678 

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1718 

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8728 

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1777 

1797 

1817 

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1857 

19 

40 

9.868785 

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8823 

8843 

8862 

8881 

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4i 

1877 

1897 

I9I6 

1936 

1956 

1976 

18 

4i 

8900 

8919 

8939 

8958 

8977 

8996 

18 

42 

1996 

2016 

2o35 

2o55 

2075 

2095 

17 

42 

9015 

9034 

9053 

9073 

9092 

911 1 

17 

43 

21 15 

2i35 

2i54 

2174 

2194 

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16 

43 

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9168 

9188 

9207 

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16 

44 

2234 

2254 

2273 

2293 

23i3 

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44 

9245 

9264 

9283 

9302 

9321 

9341 

i5 

45 

2353 

2372 

2392 

2412 

2432 

2452 

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45 

9360 

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9417 

9436 

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2610 

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2669 

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48 

2709 

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2827 

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9.869933 

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28 

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52 

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3222 

3242 

3262 

3281 

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52 

0161 

0180 

0199 

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0238 

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53 

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3321 

334i 

336o 

338o 

3400 

6 

53 

0276 

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54 

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3439 

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54 

0390 

0409 

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0447 

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5 

55 

3538 

3557 

3577 

3597 

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55 

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56 

3656 

3675 

3695 

3715 

3734 

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56 

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0675 

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3 

57 

3774 

3793 

38i3 

3833 

3852 

3872 

2 

57 

0732 

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0827 

2 

58 

3892 

3911 

3931 

3951 

3970 

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58 

o846 

o865 

o884 

0903 

0922 

0941 

I 

59 

4oio 

4029 

4o49 

4069 

4088 

4io8 

0 

59 

0960 

0979 

0998 

1017 

io36 

io54 

0 

60" 

50" 

40" 

30" 

20" 

10" 

60" 

50" 

40"  !  30"  ! 

20' 

10" 

.S 

Co-sine  of  43  Degrees. 

Co-sine  of  42  Degrees. 

PParfil"  2"  3"  4"  5"  6"  7"  8"^ 
r.rart^2   4   6   8  10  12  14  16  1 

r 

8 

P. 

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/2  4   6  8  10  13  14  15  17 

Logarithmic  Tangents, 

71 

■^1 

Tanfrent  of  46  Degrees. 

.9 

Tangent  of  47  Degrees. 

0" 

10" 

20" 

30"   40"  1  50" 

0" 

10" 

20" 

30" 

40" 

50" 

o 

io.oi5i63 

52o5 

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533i 

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0 

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5542 

5584 

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0597 

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0724 

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58 

2 

5668 

5711 

5753 

5795 

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5879 

57 

2 

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0893 

0935 

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1020 

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3 

5931 

5963 

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3 

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4 

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4 

1357 

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55 

5 

6427 

6469 

65ii 

6553 

6596 

6638 

54 

5 

1611 

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1695 

1737 

1780 

1822 

54 

6 

6680 

6722 

6764 

6806 

6848 

6891 

53 

6 

1 864 

1906 

1948 

1 991 

2o33 

2075 

53 

7 

6933 

6975 

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7059 

7101 

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52 

7 

2117 

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2202 

2244 

2286 

2328 

52 

8 

7186 

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7270 

7312 

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7396 

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8 

2371 

24i3 

2455 

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2582 

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9 

7438 

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7523 

7565 

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9 

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2666 

2709 

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2835 

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10.017691 

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7818 

7860 

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49 

10 

10.032877 

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7944 

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12 

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3553 

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3722 

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17 

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4694 

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21 

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22 

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22 

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25 

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34 

25 

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34 

26 

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33 

26 

6933 

6975 

7018 

7060 

7102 

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33 

27 

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2075 

2118 

2160 

2202 

32 

27 

7187 

7229 

7271 

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32 

28 

2244 

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7440 

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7567 

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29 

2497 

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258i 

2623 

2666 

2708 

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29 

7694 

7736 

7778 

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7905 

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10.022750 

2792 

2834 

2877 

2919 

2961 

29 

3o 

10.037948 

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8o32 

8074 

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8159 

29 

3i 

3oo3 

3o45 

3087 

3i3o 

3172 

32l4 

28 

3i 

8201 

8243 

8286 

8328 

8370 

84i3 

28 

32 

3256 

3298 

3340 

3383 

3425 

3467 

27 

32 

8455 

8497 

8539 

8582 

8624 

8666 

27 

33 

3509 

355i 

3593 

3636 

3678 

3720 

26 

33 

8708 

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8835 

8878 

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26 

34 

3762 

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3846 

3889 

3931 

3973 

25 

34 

8962 

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9047 

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25 

35 

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4i42 

4i84 

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24 

35 

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9300 

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9385 

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24 

36 

4268 

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4353 

4395 

4437 

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23 

36 

9470 

9512 

9554 

9596 

9639 

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23 

37 

4521 

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4606 

4648 

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22 

37 

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9766 

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9850 

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9935 

22 

38 

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4817 

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4901 

4943 

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21 

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9977 

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18 

42 

5787 

5829 

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17 

42 

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1119 

1161 

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17 

43 

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6082 

6124 

6166 

6209 

625i 

16 

43 

1246 

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1457 

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44 

6293 

6335 

6377 

6419 

6462 

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44 

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1 542 

1 584 

1627 

1669 

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45 

6546 

6588 

663o 

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6715 

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45 

1753 

1796 

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1880 

1923 

1965 

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46 

6799 

684i 

6884 

6926 

6968 

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46 

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2092 

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2219 

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47 

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7137 

7179 

7221 

7263 

12 

47 

2261 

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2346 

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243o 

2473 

12 

48 

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7348 

7390 

7432 

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7516 

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48 

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2557 

2600 

2642 

2684 

2727 

11 

49 

7559 

7601 

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7685 

7727 

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10 

49 

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2854 

2896 

2938 

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10.027812 

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7896 

7938 

7981 

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3192 

3234 

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8234 

8276 

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5i 

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336i 

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52 

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84o3 

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8529 

7 

52 

353i 

3573 

36i5 

3658 

3700 

3742 

7 

53 

8571 

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8656 

8698 

8740 

8782 

6 

53 

3785 

3827 

3869 

3912 

3954 

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6 

54 

8825 

8867 

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8951 

8993 

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5 

54 

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4i65 

4208 

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5 

55 

9078 

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9162 

9204 

9247 

9289 

4 

55 

4292 

4335 

4377 

4419 

4462 

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4 

56 

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9373 

9416 

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9500 

9542 

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56 

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4589 

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4673 

4716 

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3 

57 

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2 

57 

4800 

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4927 

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2 

58 

9838 

9880  9922 

9964 

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I 

58 

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5266 

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10.030091 

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0 

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5309 

535i 

5393 

5436 

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5520 

0 

60" 

50"  1  40" 

30"  1  20"  1  10" 

s 

60" 

50" 

40" 

30" 

20" 

10" 

5 

Co-tansrent  of  43  Degrees. 

Co-tangent  of  42  Degrees. 

I 

(  1"  ' 
>.  Part  31  ■ 

2"    3' 
3  13 

'  4" 
17 

5"  6"  7"  8"  9" 
21  35  30  34  38 

P 

,  „  J  1"  2"  3' 
'•Part]^  8  13 

'  4" 
17 

5"  6 
21  2; 

"  rr" 

5  30 

8" 
34  i 

9" 

58 

72 

Logarithmic  Sines. 

Sine  of  48  Des^rees. 

Sine  of  49  Degrees. 

0" 

10" 

20" 

30" 

40" 

50" 

0"    1  10" 

20" 

30" 

40"  1  50" 

o 

9.871073 

1092 

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I  149 

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1206 

1225 

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7890 

7908 

7926 

7945 

7963 

7981 

58 

2 

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1339 

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1377 

1395 

57 

2 

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8018 

8o36 

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8091 

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3 

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1471 

1490 

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56 

3 

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8127 

8x46 

8x64 

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8200 

56 

4 

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1622 

55 

4 

8219 

8237 

8255 

8273 

8292 

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55 

5 

i64i 

1660 

1679 

1698 

1717 

1736 

54 

5 

8328 

8346 

8365 

8383 

84oi 

8419 

54 

6 

1755 

1774 

1793 

1811 

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1849 

53 

6 

8438 

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8474 

8492 

85ii 

8529 

53 

7 

1868 

1887 

1906 

1925 

1944 

1962 

52 

7 

8547 

8565 

8583 

8602 

8620 

8638 

52 

8 

1981 

2000 

2019 

2o38 

2057 

2076 

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8 

8656 

8675 

8693 

8711 

8729 

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9 

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9.872208 

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46 

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2659 

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2716 

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45 

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9329 

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9365 

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45 

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2772 

2791 

2810 

2829 

2847 

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44 

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9420 

9438 

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9474 

9492 

95ii 

44 

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2885 

2904 

2923 

2941 

2960 

2979 

43 

16 

9529 

9547 

9565 

9583 

9601 

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43 

17 

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3o35 

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3073 

3091 

42 

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9674 

9692 

9710 

9728 

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3i48 

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18 

9746 

9764 

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9800 

9819 

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19 

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3260 

3279 

3298 

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19 

9855 

9873 

9891 

9909 

9927 

9945 

40 

20 

9.873335 

3354 

3373 

3391 

3410 

3429 

39 

20 

9.879963 

9981 

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39 

21 

3448 

3466 

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3522 

3541 

38 

21 

9 .S80072 

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0108 

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0162 

38 

22 

356o 

3579 

3597 

36i6 

3635 

3653 

37 

22 

0180 

0198 

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0234 

0253 

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37 

23 

3672 

3691 

3710 

3728 

3747 

3766 

36 

23 

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36 

24 

3784 

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3822 

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3859 

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35 

24 

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35 

25 

3896 

3915 

3934 

3953 

3971 

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34 

25 

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0559 

0577 

0595 

34 

26 

4009 

4027 

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4o65 

4o83 

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33 

26 

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0649 

0667 

0686 

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33 

27 

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4i58 

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4195 

42i4 

32 

27 

0722 

0740 

0758 

0776 

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32 

28 

4232 

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4270 

4288 

4307 

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28 

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29 

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28 

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32 

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4717 

4735 

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27 

32 

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27 

33 

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4828 

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4884 

26 

33 

1369 

i387 

x4o5 

x423 

i44i 

1459 

26 

34 

4903 

4921 

4940 

4958 

4977 

4996 

25 

34 

1477 

1495 

l5l2 

i53o 

1 548 

i566 

25 

35 

5oi4 

5o33 

5o5i 

5070 

5o88 

5io7 

24 

35 

i584 

1602 

1620 

i638 

i656 

1674 

24 

36 

5i26 

5i44 

5i63 

5i8i 

5200 

52x8 

23 

36 

1692 

1710 

1728 

1746 

1763 

1781 

23 

37 

5237 

5255 

5274 

5293 

53x1 

533o 

22 

37 

1799 

1817 

i835 

i853 

1871 

1889 

22 

38 

5348 

5367 

5385 

5404 

5422 

5441 

21 

38 

1907 

1925 

1942 

i960 

1978 

1996 

21 

39 

5459 

5478 

5496 

55i5 

5534 

5552 

20 

39 

20l4 

2o32 

2o5o 

2068 

2086 

2io3 

20 

4o 

9.87557. 

5589 

56o8 

5626 

5645 

5663 

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4o 

9.882I2I 

2139 

2x57 

2175 

2193 

22II 

19 

4i 

5682 

5700 

5719 

5737 

5756 

5774 

18 

4i 

2229 

2246 

2264 

2282 

23oo 

23i8 

x8 

42 

5793 

58ii 

583o 

5848 

5867 

5885 

'7 

42 

2336 

2354 

2371 

2389 

2407 

2425 

17 

43 

5904 

5922 

5941 

5959 

5978,5996 

16 

43 

2443 

2461 

2479 

2496 

25i4 

2532 

16 

44 

6oi4 

6o33 

6o5i 

6070 

6088,6107 

i5 

44 

255o 

2568 

2586 

2603 

2621 

2639 

i5 

45 

6125 

6144 

6162 

6181 

6199 

6218 

x4 

45 

2657 

2675 

2692 

2710 

2728 

2746 

x4 

46 

6236 

6255 

6273 

6291 

63io 

6328 

i3 

46 

2764 

2782 

2799 

2817 

2835 

2853 

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47 

6347 

6365 

6384 

64o2 

6421 

6439 

12 

47 

2871 

2888 

2906 

2924 

2942 

2960 

12 

48 

6457 

6476 

6494 

65i3 

653i 

655o 

I  X 

48 

2977 

2995 

3oi3 

3o3i 

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1 1 

49 

6568 

6586 

66o5 

6623 

6642 

6660 

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49 

3o84 

3X02 

3X20 

3x37 

3i55 

3173 

10 

5o 

9.876678 

6697 

6715 

6734 

6752  6770 

9 

5o 

9. 883x91 

3209 

3226 

3244 

3262 

3280 

9 

5i 

6789 

6807 

6826 

6844 

6862  6881 

8 

5i 

3-97 

33i5 

3333 

335i 

3368 

3386 

8 

52 

6899 

6918 

6936 

6954 

6973  6991 

7 

52 

3404 

3422 

3439 

3457 

3475 

3493 

7 

53 

7010 

7028 

7046 

7065 

7083 

7101 

6 

53 

35io 

3528 

3546 

3564 

358i 

3599 

6 

54 

7120 

7i38 

7157 

7175 

7193 

7212 

5 

54 

36x7 

3635 

3652 

3670 

3688 

3705 

5 

55 

72  3o 

7248 

7267 

7285 

73o3 

7322 

4 

55 

3723 

374x 

3759 

3776 

3749 

38x2 

4 

56 

7340 

7358 

7377 

7395 

74x3 

7432 

3 

56 

3829 

3847 

3865 

3883 

3900 

3918 

3 

57 

745o 

7468 

7487 

75o5 

7523 

7542 

2 

57 

3936 

3953 

3971 

3989 

4oo6 

4024 

0 

58 

7560 

7578 

7597 

7615 

7633 

7652 

X 

58 

4o42 

4o6o 

4077 

4095 

4xx3 

4i3o 

I 

59 

7670 

7688 

7707 

7725 

7743 

7762 

0 

59 

4i48 

4i66 

4i83 

4201 

4219 

4236 

0 

60" 

50" 

40" 

30" 

20" 

10" 

JS 

60" 

50" 

40" 

30" 

20' 

10" 

Co-sine  of  41  Desrrees. 

Co-sine  of  40  Degrees. 

P.F 

„,  j  1"  2"  8"  4"  5"  6"  7"  8"  9" 
(2     4   6   7  9  11  13  15  17 

pp  .  j  1"  2"  3"  4"  5"  6"  7"  8"  9" 
r.iart  ^  2  4   5   7   9  11  13  14  16 

Logarithmic 

Tangents. 

73 

s 

Tangent  of  48  Degrees. 

.s 

Tangent  of  49  Degi-ees. 

0" 

10"  1  20" 

30" 

40" 

SO" 

0" 

10" 

20"  1  30" 

40" 

50" 

0 

10.045563 

56o5 

564? 

5690 

b'j'ii 

5774 

59 

0 

10.060837 

0879 

0922 

0965 

X007 

xo5o 

59 

I 

5817 

5859 

5901 

5944 

5986 

6028 

58 

1 

1092 

ii35 

1x77 

1220 

1262 

x3o5 

58 

2 

6071 

6ii3 

6i55 

6198 

6240 

6282 

57 

2 

1 347 

X390 

i432 

1475 

i5i7 

x56o 

57 

3 

6325 

6367 

6409 

6452 

6494 

6537 

56 

3 

1602 

1645 

1688 

1730 

1773 

i8i5 

56 

4 

6579 

6621 

6664 

6706 

6748 

6791 

55 

4 

i858 

1900 

1943 

1985 

2028 

2070 

55 

5 

6333 

6875 

6918 

6960 

7002 

7045 

54 

5 

21 13 

2x55 

2198 

2241 

2283 

2326 

54 

6 

7087 

7i3o 

7172 

7214 

7257 

7299 

53 

6 

2368 

241 X 

2453 

2496 

2538 

258i 

53 

7 

7341 

7384 

7426 

7468 

75ii 

7553 

52 

7 

2623 

2666 

2709 

2751 

2794 

2836 

52 

8 

7595 

7638 

7680 

7723 

7765 

7807 

5i 

8 

2879 

292X 

2964 

3oo6 

3o49 

3092 

5i 

9 

785o 

7892 

7934 

7977 

8019 

8062 

5o 

9 

3x34 

3x77 

32x9 

3262 

33o4 

3347 

5o 

10 

io.o48ro4 

8i46 

8189 

823 1 

8273 

83x6 

49 

10 

10.063389 

3432 

3475 

35x7 

356o 

36o2 

49 

II 

8358 

84oo 

8443 

8485 

8528 

8570 

48 

II 

3645 

3687 

3730 

3773 

38i5 

3858 

48 

12 

8612 

8655 

8697 

8739 

8782 

8824 

47 

12 

3900 

3943 

3985 

4028 

4070 

4ii3 

47 

i3 

8867 

8909 

8951 

8994 

9o36 

9079 

46 

i3 

4x56 

4x98 

424x 

4283 

4326 

4368 

46 

i4 

9121 

9163 

9206 

9248 

9290 

9333 

45 

i4 

44ii 

4454 

4496 

4539 

458x 

4624 

45 

i5 

9375 

94x8 

9460 

9502 

9545 

9587 

44 

i5 

4667 

4709 

4752 

4794 

4837 

4879 

44 

i6 

9629 

9672 

9714 

9757 

9799 

9'54i 

43 

16 

4922 

4965 

5oo7 

5o5o 

5092 

5x35 

43 

17 

9884 

9926 

9969 

. .  11 

..53 

..96 

42 

17 

5178 

5220 

5263 

53o5 

5348 

5390 

42 

18 

io.o5oi38 

0181 

0223 

0265 

o3o8 

o35o 

4i 

18 

5433 

5476 

55x8 

556i 

56o3 

5646 

4i 

19 

0392 

0435 

0477 

0520 

o562 

o6o4 

4o 

19 

5689 

5731 

5774 

58x6 

5859 

5902 

4o 

20 

io.o5o647 

0689 

0732 

0774 

0816 

0859 

39 

20 

xo. 065944 

5987 

6029 

6072 

6xi5 

6x57 

39 

21 

0901 

0944 

0986 

1028 

1071 

rii3 

38 

21 

6200 

6242 

6285 

6328 

6370 

64x3 

38 

22 

ii56 

1198 

I24o 

1283 

i325 

i368 

37 

22 

6455 

6498 

654i 

6583 

6626 

6668 

37 

23 

i4io 

1452 

1495 

1537 

£58o 

1622 

36 

23 

671 X 

6754 

6796 

6839 

6881 

6924 

36 

24 

i665 

1707 

1749 

1 79-' 

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35 

24 

6967 

7009 

7052 

7094 

7x37 

7180 

35 

25 

1919 

1961 

20o4 

2o46 

2089 

2l3l 

34 

25 

7222 

7265 

7308 

7350 

7393 

7435 

34 

26 

2173 

2216 

2258 

23oi 

2343 

2386 

33 

26 

7478 

7521 

7563 

7606 

7649'769i 

33 

27 

2428 

2470 

25i3 

2555 

2598 

2640 

32 

27 

7734 

7776 

78.9 

7862 

79047947 

32 

28 

2682 

2725 

2767 

2810 

2852 

2895 

3x 

28 

7990 

8o32 

8075 

8x17 

8x60,8203 

3i 

29 

2937 

2979 

3022 

3o64 

3io7 

3i49 

3o 

29 

8245 

8288 

833i 

8373 

84x68458 

3o 

3o 

10. 053192 

3234 

3276 

3319 

336i 

34o4 

29 

3o 

io .o685oi 

8544 

8586 

8629 

867287x4 

29 

3i 

3446 

3489 

353i 

3573 

36x6 

3658 

28 

3i 

8757 

8800 

8842 

8885 

8927  8970 

28 

32 

3701 

3743 

3786 

3828 

3870 

39x3 

27 

32 

9013 

9055 

9098 

9141 

9x83  9226 

27 

33 

3955 

3998 

4o4o 

4o83 

4x25 

4i68 

26 

33 

9269 

9311 

9354 

9397 

9439  9482 

26 

34 

4210 

4252 

4295 

4337 

438o 

4422 

2  5 

34 

9525 

9567 

9610 

9652 

9695  973b 

25 

35 

4465 

4507 

4549 

4592 

4634 

4677 

24 

35 

9780 

9823 

9866 

9908 

9951  9994 

24 

36 

4719 

4762 

48o4 

4847 

4889 

4931 

23 

36 

xo .070036 

0079 

0122 

0164 

0207 

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23 

37 

4974 

5oi6 

5o59 

5ioi 

5x44 

5i86 

22 

37 

0292 

o335 

0378 

0420 

o463'o5o6 

22 

38 

5229 

5271 

53x4 

5356 

5398 

5441 

21 

38 

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0591 

o634 

0676 

0719  0762 

21 

39 

5483 

5526 

5568 

56ii 

5653 

5696 

20 

39 

o8o4 

0847 

0890 

0932 

0975 

IOI8 

20 

4o 

10.055738 

5781 

5823 

5865 

5908 

DgSo 

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40 

xo .071060 

X  io3 

xx46 

xx88 

X23l 

1274 

19 

4i 

5993 

6o35 

6078 

6120 

6i63 

6205 

18 

4i 

i3i6 

x359 

l4o2 

1 448 

1487 

i53o 

18 

42 

6248 

6290 

6333 

6375 

6417 

646o 

17 

42 

1573 

i6i5 

i658 

1701 

1743  1786 

17 

43 

65o2 

6545 

6087 

663o 

6672 

67x5 

16 

43 

1829 

1871 

1914 

1957 

1999  2042 

16 

44 

6757 

6800 

6842 

6885 

6927 

6970 

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44 

2o85 

2128 

2170 

22X3 

2256  2298 

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45 

7012 

7055 

7097 

7139 

7x82 

7224 

14 

45 

234l 

2384 

2426 

2469 

25x2  2554 

i4 

46 

7267 

7309 

7352 

7394 

7437 

7479 

x3 

46 

2597 

2640 

2683 

2725 

2768,281  X 

x3 

47 

7022 

7564 

7607 

7649 

7692 

7734 

X2 

47 

2853 

2896 

2939 

2981 

3o24 

3067 

12 

48 

7777 

7819 

7862 

7904 

7947 

7989 

1  I 

48 

3i  10 

3x52 

3x95 

3238 

3280 

3323 

II 

49 

8o32 

8074 

S117 

8x59 

8202 

8244 

fO 

49 

3366 

3409 

345  I 

3494 

3537 

3579 

10 

5o 

10.058287 

8329 

S372 

84i4 

8456 

8499 

9 

5o 

10.073622 

3665 

3708 

3750 

3793 

3836 

9 

5i 

854i 

8584 

8626 

8669 

8711 

8754 

8 

5x 

3878 

3921 

3964 

4007 

4o49  4092 

8 

52 

8796 

8839 

8881 

8924 

8966 

9009 

7 

52 

4x35 

417S 

4220 

4263 

43o6'4348 

7 

53 

9o5i 

9094 

9i36 

9179 

922X 

9264 

6 

53 

4391 

4434 

4477 

45x9 

4562  46o5 

6 

54 

g3o6 

9349 

93gi 

9434 

9476 

95x9 

5 

54 

4648 

4690 

4733 

4776 

4819  486i 

5 

55 

9361 

9604 

9646 

9689 

9732 

9774 

4 

55 

4904 

4947 

4989 

5o32 

5075 

5ii8 

4 

56 

9817 

9859 

9902 

9944 

9987 

..29 

3 

56 

5i6o 

52o3 

5246 

5289 

533i 

5374 

3 

57 

10.060072 

o[  i4 

0157 

0x99 

0242 

0284 

2 

57 

5417 

5460 

55o2 

5545 

5588  5631 

2 

58 

o327 

0369 

04l2 

0454 

0497 

0539 

I 

58 

5673 

5716 

5759 

58o2 

5844 

5887 

X 

59 

o582 

0624 

0667 

0709 

0752 

0794 

0 

59 

5930 

5973 

60  X  5 

6o58  6x01 

6|44 

0 

60"      50" 

40"  1  30" 

SO- 

10" 

60"     50" 

40" 

.30"   20" 

10' 

c 

Co-tangent  of  41  Degrees. 

Co-tangent  of  40  Degrees. 

S 

,-■ 

„„J1"  2"  3"  4"  5"  6"  7"  8"  9" 
^'^""(4  8  13  17  21  25  30  34  38 

V  P,r^  i  1"  2"  3"  4"  5"  6"  7"  8"  9" 
•""|4  9  13  17  21  26  30  34  38 

74: 

Logarithmic  Sines. 

<, 

Sine  of  50  Degrees. 

Sine  of  51  Degrees. 

0" 

10- 

20" 

4289 

30" 

40" 

50" 

0" 

10" 

20' 

30" 

40"   50" 

O 

9.884254 

4272 

4307 

4325 

4342 

59 

0 

9.890503 

o52o 

o5a7 

o554 

0571 

o58» 

59 

1 

436o 

4378 

4395 

44i3 

443i 

4448 

58 

I 

o6o5 

0622 

0639 

o656 

0673 

0690 

58 

2 

4466 

4383 

45oi 

4519 

4536 

4554 

57 

2 

0707 

0724 

0741 

0758 

0775 

0792 

57 

3 

4572 

4589 

4607 

4625 

4642 

4660 

56 

3 

0809 

0826 

0843  0860 

0877  0894 

56 

4 

4677 

4695 

47i3 

4730 

4748 

4766 

55 

4 

0911 

0928 

0945 

0962 

0979  0996 

55 

5 

4783 

48oi 

48i8 

4836 

4854 

4871 

54 

5 

ioi3 

io3o 

1047 

1064 

1081 

1098 

54 

6 

4889 

4906 

4924 

4942 

4959 

4977 

53 

6 

1 1 15 

I  l32 

II49 

1166 

ii83 

1200 

53 

7 

4994 

5oi2 

5o3o 

5o47 

5o65 

5o82 

52 

7 

1217 

1234 

I25l 

1268 

1285 

l302 

52 

8 

5 100 

5ii8 

5i35 

5i53 

5170 

5i88 

5i 

8 

i3i9 

i336 

i353 

1370 

i387 

i4o4 

5i 

Q 

52o5 

5223 

524i 

5258 

5276 

5293 

5o 

9 

l42I 

i438 

1455 

1472 

1489 

i5o6 

5o 

7 

10 

9.8853II 

5328 

5346 

5364 

538i 

5399 

49 

10 

9.891523 

i54o 

i556 

1573 

1590J1607 

49 

1 1 

54i6 

5434 

545i 

5469 

5486 

55o4 

48 

II 

1624 

i64i 

i658 

1675 

1692,1709 

48 

12 

5522 

5539 

5557 

5574 

5592 

5609 

47 

12 

1726 

1743 

1760 

1777 

i794|i8io 

47 

i3 

5627 

5644 

5662 

5679 

5697 

5714 

46 

i3 

1827 

1 844 

1861 

1878 

1895  1912 

46 

i4 

5732 

5749 

5767 

5784 

58o2 

5819 

45 

i4 

1929 

1946 

1963 

1980 

1996 

20l3 

45 

i5 

5837 

5855 

5872 

5890 

5907 

5925 

44 

i5 

2o3o 

2047 

2064 

2081 

2098 

21x5 

44 

i6 

5942 

5960 

5977 

5995 

6012 

6o3o 

43 

16 

2l32 

2149 

2i65 

2182 

2199 

22X6 

43 

I? 

6047 

6o65 

6082 

6099 

61 17 

6i34 

42 

17 

2233 

225o 

2267 

2284 

23oo 

23x7 

42 

i8 

6x52 

6169 

6187 

6204 

6222 

6239 

4i 

18 

2334 

235i 

2368 

2385 

2402 

2419 

4i 

'9 

6257 

6274 

6292 

63o9 

6327 

6344 

4o 

19 

2435 

2452 

2469 

2486 

25o3 

2520 

4o 

20 

9.886362 

6379 

6396 

64i4 

643i 

6449 

39 

20 

9.892536 

2553 

2570 

2587 

2604  2621 

39 

21 

6466 

6484 

65oi 

65i9 

6536 

6554 

38 

21 

2638 

2654 

267-1 

2688 

2705  2722 

38 

22 

6571 

6588 

6606 

6623 

664i 

6658 

37 

22 

2739 

2755 

2772 

2789 

2806 

2823 

37 

23 

6676 

6693 

6710 

6728 

6745 

6763 

36 

23 

2839 

2856 

2873 

2890 

2907 

2924 

36 

24 

6780 

6798 

68i5 

6832 

685o 

6867 

35 

24 

2940 

2957 

2974 

2991 

3oo8 

3o24 

35 

25 

6885 

6902 

6919 

6937 

6954 

6972 

34 

25 

3o4i 

3o58 

3075 

3092 

3io8 

3i25 

34 

26 

6989 

7006 

7024 

7o4i 

7059 

7076 

33 

26 

3l42 

3i59 

3176 

3192 

3209 

3226 

33 

27 

7093 

7111 

7128 

7i46 

7163 

7180 

32 

27 

3243 

3259 

3276 

3293 

33io 

3327 

32 

28 

7198 

7215 

7232 

725o 

7267 

7285 

3i 

28 

3343 

336o 

3377 

3394 

34io 

3427 

3i 

29 

7302 

7319 

7337 

7354 

7371 

7389 

3o 

29 

3444 

3461 

3477 

3494 

35x1 

3528 

3o 

3o 

9.887406 

7423 

7441 

7458 

7475 

7493 

29 

3o 

9.893544 

356i 

3578 

3595 

36ii 

3628 

29 

3i 

75io 

7528 

7545 

7562 

758o 

7597 

28 

3i 

3645 

3662 

3678 

3695 

3712 

3728 

28 

32 

7614 

7632 

7649 

7666 

7684 

7701 

27 

32 

3745 

3762 

3779 

3795 

38i2 

3829 

27 

33 

7718 

7736 

7753 

7770 

7787 

7805 

26 

33 

3846 

3862 

3879 

3896 

3912 

3929 

26 

34 

7822 

7839 

7857 

7874 

7891 

7909 

25 

34 

3946 

3963 

3979 

3996 

4oi3  4029 

25 

35 

7926 

7943 

7961 

7978 

7995 

8012 

24 

35 

4o46 

4o63 

4079 

4096 

4ii3 

4x3o 

24 

36 

8o3o 

8047 

8064 

8082 

8099 

8116 

23 

36 

4i46 

4i63 

4i8o 

4196 

42i3 

423o 

23 

37 

8i34 

8i5i 

8168 

8i85 

8203 

8220 

22 

37 

4246 

4263 

4280 

4296 

43x3 

433o 

22 

38 

8237 

8254 

8272 

8289 

83o6 

8324 

21 

38 

4346 

4363 

438o 

4396 

44i3|443o 

21 

39 

834i 

8358 

8375 

8393 

84io 

8427 

20 

39 

4446 

4463 

4480 

4496 

45i3453o 

20 

4o 

9.888444 

8462 

8479 

8496 

85i3 

853i 

19 

4o 

9.894546 

4563 

458o 

4596 

46x3  4629 

19 

4i 

8548 

8565 

8582 

8600 

8617 

8634 

18 

4i 

4646 

4663 

4679 

4696 

47134729 

18 

42 

865i 

8669 

8686 

8703 

8720 

8737 

17 

42 

4746 

4763 

4779 

4796 

4812 

4829 

17 

43 

8755 

8772 

8789 

8806 

8824 

884i 

16 

43 

4846 

4862 

4879 

4896 

4912 

4929 

16 

44 

8858 

8875 

8892 

8910 

8927 

8944 

i5 

44 

4945 

4962 

4979 

4995 

5oi2 

5o28 

i5 

45 

8961 

8978 

8996 

9013 

9o3o 

9047 

i4 

45 

5o45 

5o62 

5078 

5095 

5i  X 1 

5x28 

i4 

46 

9064 

9082 

9099 

9116 

9133 

9i5o 

i3 

46 

5i45 

5i6i 

5178 

5194 

521  1 

5227 

i3 

47 

916S 

9185 

9202 

92'9 

92  36 

9253 

12 

47 

5244 

5261 

5277 

5294 

53io  5327 

12 

48 

9271 

9288 

93o5 

9322 

9339 

9356 

11 

48 

5343 

536o 

5377 

5393 

54ioi5426 

IX 

49 

9374 

9391 

9408 

9425 

9442 

9459 

10 

49 

5443 

5459 

5476 

5493 

5509 

5526 

10 

5o 

9.889477 

9494 

95i  I 

9528 

9545 

9562 

9 

5o 

9.895542 

5559 

5575 

5592 

56o8 

5625 

9 

5i 

9579 

9597 

9614 

963i 

9648 

9665 

8 

5i 

564i 

5658 

5675 

5691 

5708 

5724 

8 

52 

9682 

9699 

9716 

9734 

975i 

9768 

7 

52 

5741 

5757 

5774 

5790 

5807 

5823 

7 

53 

9785 

9802 

9819 

9836 

9853 

9871 

6 

53 

584o 

5856 

5873 

5889 

5906 

5922 

6 

54 

9888 

9905 

9922 

9939 

9956 

9973 

5 

54 

5939 

5955 

5972 

5988 

6oo5 

6021 

5 

55 

9990 

...7 

..25 

..42 

..59 

..76 

4 

55 

6o38 

6o54 

6071 

6087 

6io4 

6120 

4 

56 

9.890093 

01 10 

0127 

oi44 

0161 

0178 

3 

56 

6137 

6i53 

6170 

6186 

6203 

62x9 

3 

57 

c 

0195 

0212 

O23o 

0247 

0264 

0281 

2 

57 

6236 

6252 

6269 

6285 

63o2 

63x8 

2 

58 

0298 

o3i5 

o332 

0349 

o366 

o383 

I 

58 

6335 

635i 

6368 

6384 

64oo 

6417 

I 

59 

o4oo 

o4i7 

0434 

o45i 

o468 

o486 

0 

59 

6433 

645o 

6466 

6483 

6499 

65i6 

0 

00" 

50" 

40" 

30" 

20"   10" 

60" 

50" 

40" 

30" 

20" 

10" 

Co-sine  of  39  Degrees. 

Co-sine  of  38  Degrees. 

P.l 

,      ^  1"  2"  3"  4"  5"  6"  7"  8"  9" 
■"■'  rJ  3  5  7  9  10  13  14  16 

p  p  Al"    2"    3"  4"  5"  6"  7"  8"  9" 
^-'^^^^  12     3   5   7   8  10  12  13  15 

LOGAKITHMIC  TaNGENTS. 

75 

Tangent  of  50  Degrees. 

d 

iS 

Tangent  of  51  Degrees. 

0" 

10" 

20" 

30" 

40"   50" 

0" 

10" 

20" 

30" 

40" 

50" 

o 

10.076186 

6229 

6272 

63i5 

6358 

64oo 

59 

0 

10.091631 

1674 

1717 

1760 

i8o3 

1846 

59 

I 

6443 

6486 

6529 

6571 

66i4 

6657 

58 

I 

1889 

1932 

1975 

2018 

2061 

2104 

58 

2 

6700 

6742 

6785 

6828 

6871 

6913 

57 

2 

2147 

2191 

2234 

2277 

2320 

2363 

57 

3 

6956 

6999 

7042 

7085 

7127 

7170 

56 

3 

2406 

2449 

2492 

2535 

2578 

2621 

56 

4 

72 1 3 

7256 

7298 

7341 

7384 

7427 

55 

4 

2664 

2707 

2750 

2793 

2837 

2880 

55 

5 

7470 

7512 

7555 

7598 

7641 

7684 

54 

5 

2923 

2966 

3009 

3o52 

3095 

3i38 

54 

6 

7726 

7769 

7812 

7855 

7897 

7940 

53 

6 

3i8i 

3224 

3267 

33io 

3354 

3397 

53 

7 

7983 

8026 

8069 

81H 

8i54 

8197 

52 

7 

3440 

3483 

3526 

3569 

36i2 

3655 

52 

8 

8240 

8283 

8325 

8368 

84ii 

8454 

5i 

8 

3698 

3741 

3784 

3828 

3871 

3914 

5i 

9 

8497 

8539 

8582 

8625 

8668 

8711 

5o 

9 

3957 

4ooo 

4o43 

4086 

4129 

4172 

5o 

lO 

10.078753 

8796 

8839 

8882 

8925 

8967 

49 

10 

10.094215 

4259 

43o2 

4345 

4388 

443i 

49 

1 1 

9010 

9053 

9096 

9139 

9181 

9224 

48 

1 1 

4474 

45i7 

456o 

46o3 

4647 

4690 

48 

12 

9267 

9310 

9353 

9396 

9438 

9481 

47 

12 

4733 

4776 

4819 

4862 

4905 

4948 

47 

i3 

9524 

9567 

9610 

9652 

9695 

9738 

46 

i3 

4992 

5o35 

5078 

5l21 

5i64 

5207 

46 

i4 

9781 

9824 

9867 

9909 

9952 

9995 

45 

i4 

525o 

5293 

5337 

538o 

5423 

5466 

45 

i5 

io.o8oo38 

0081 

0124 

0166 

0209 

0252 

44 

i5 

5509 

5552 

5595 

5638 

5682 

5725 

44 

i6 

0295 

o338 

o38i 

o423 

o466 

o5o9 

43 

16 

5768 

58ii 

5854 

5897 

5940 

5984 

43 

17 

o552 

0595 

o638 

0680 

0723 

0766 

42 

17 

6027 

6070 

6ii3 

6i56 

6199 

6242 

42 

t8 

0809 

o852 

0895 

0937 

0980 

1023 

4i 

18 

6286 

6329 

6372 

64i5 

6458 

65oi 

4i 

19 

1066 

1 109 

I  l52 

II95 

1237 

1280 

40 

19 

6544 

6588 

663i 

6674 

6717 

6760 

4o 

20 

1 0.08 1 323 

1 366 

1409 

i452 

1494 

1537 

39 

20 

10.096803 

6847 

6890 

6933 

6976 

7019 

39 

21 

i58o 

1623 

1666 

1709 

1752 

1794 

38 

21 

7062 

7106 

7149 

7192 

7235 

727b 

38 

22 

1837 

1880 

1923 

1966 

2009 

2o52 

37 

22 

7321 

7365 

7408 

745i 

7494 

7537 

37 

23 

2094 

2137 

2180 

222  3 

2266 

2309 

36 

23 

7580 

7624 

7667 

7710 

7753 

7796 

36 

24 

2352 

2395 

2437 

2480 

2523 

2566 

35 

24 

7840 

7883 

7926 

7969 

8012 

«o56 

35 

25 

2609 

2652 

2695 

2738 

2780 

2823 

34 

25 

8099 

8142 

8i85 

82  2» 

8271 

83i5 

34 

26 

2866 

2909 

2952 

2995 

3o38 

3o8i 

33 

26 

8358 

84oi 

8444 

8487 

853i 

8574 

33 

27 

3i23 

3i66 

3209 

3252 

3295 

3338 

32 

27 

8617 

8660 

8703 

8747 

8790 

8833 

32 

28 

338i 

3424 

3467 

3509 

3552 

3595 

3i 

28 

8876 

8919 

8963 

9006 

9049 

9092 

3i 

29 

3638 

368i 

3724 

3767 

38io 

3853 

3o 

29 

9i36 

9179 

9222 

9265 

9308 

9352 

3o 

3o 

10.083896 

3938 

3981 

4o24 

4067 

4i  10 

29 

3o 

10,099395 

9438 

9481 

9524 

9568 

9611 

29 

3i 

4i53 

4196 

4239 

4282 

4325 

4367 

28 

3i 

9654 

9697 

9741 

9784 

9827 

9870 

28 

32 

44io 

4453 

4496 

4539 

4582 

4625 

27 

32 

9913 

9957 

•  •  •  • 

..43 

..86 

.  i3o 

27 

33 

4668 

471 1 

4754 

4797 

4839 

4882 

26 

33 

10. 100173 

0216 

0259 

o3o3 

o346 

0389 

26 

34 

4925 

4968 

5oi  I 

5o54 

5097 

5i4o 

25 

34 

o432 

0476 

o5i9 

o562 

o6o5 

0649 

25 

35 

5i83 

5226 

5269 

53i2 

5355 

5397 

24 

35 

0692 

0735 

0778 

0822 

o865 

0908 

24 

36 

5440 

5483 

5526 

5569 

56i2 

5655 

23 

36 

0951 

0995 

io38 

1081 

1 124 

1168 

23 

37 

5698 

5741 

5784 

5827 

5870 

5913 

22 

37 

121 1 

1254 

1297 

i34i 

i384 

1427 

22 

38 

5956 

5999 

6o4i 

6084 

6127 

6170 

21 

38 

1470 

i5i4 

1557 

1600 

1643 

1687 

21 

39 

62i3 

6256 

6299 

6342 

6385 

6428 

20 

39 

1730 

1773 

1817 

i860 

1903 

1946 

20 

4o 

10.086471 

65i4 

6557 

6600 

6643 

6686 

19 

40 

10. 101990 

2o33 

2076 

21 19 

2i63 

2206 

19 

4i 

6729 

6772 

68i5 

6857 

6900 

6943 

18 

4i 

2249 

2293 

2336 

2379 

2422 

2466 

18 

42 

6986 

7029 

7072 

71 15 

7i58 

7201 

17 

42 

2509 

2552 

2596 

2639 

2682 

2725 

17 

43 

7244 

7287 

7330 

7373 

74i6 

7459 

16 

43 

2769 

2812 

2855 

2899 

2942 

2985 

16 

44 

7502 

7545 

7588 

763i 

7674 

7717 

i5 

44 

3029 

3072 

3ii5 

3i58 

3202 

3245 

i5 

45 

7760 

7803 

7846 

7889 

7932 

7975 

i4 

45 

3288 

3332 

3375 

3418 

3462 

35o5 

i4 

46 

8018 

8061 

8io4 

8147 

8190 

8232 

i3 

46 

3548 

3592 

3635 

3678 

3722 

3765 

i3 

47 

8375 

83 1 8 

836i 

84o4 

8447 

8490 

12 

47 

38o8 

385i 

3895 

3938 

3981 

4o25 

12 

48 

8533 

8576 

8619 

8662 

8705 

8748 

II 

48 

4068 

4i  1 1 

4i55 

4198 

4241 

4285 

1 1 

49 

8791 

8834 

8877 

8920 

8963 

9006 

10 

49 

4328 

4371 

44i5 

4458 

45oi 

4545 

10 

5o 

10.089049 

9092 

9135 

9178 

9221 

9264 

9 

5o 

I0.I04588 

463i 

4675 

4718 

4761 

48o5 

9 

5i 

9307 

9350 

9393 

9436 

9479 

9522 

8 

5i 

4848 

4891 

4935 

4978 

502I 

5o65 

8 

52 

9555 

9608 

9651 

9694 

9737 

9780 

7 

52 

5 108 

5i52 

5195 

5238 

5282 

5325 

7 

53 

9823 

9866 

9909 

9952 

9995 

..39 

6 

53 

5368 

5412 

5455 

5498 

5542 

5585 

6 

54 

10.090082 

0125 

0168 

021 1 

0254 

0297 

5 

54 

5628 

5672 

5715 

5759 

58o2 

5845 

5 

55 

o34o 

o383 

0426 

0469 

o5i2 

o555 

4 

55 

5889  5932 

5975 

6079 

6062 

6106 

4 

56 

0598 

o64i 

0684 

0727 

0770 

o8i3 

3 

56 

6149  6192 

6236 

6279 

6322 

6366 

3 

57 

o856 

0899 

0942 

0985 

1028 

1071 

2 

57 

64096453 

6496 

6539 

6583 

6626 

2 

58 

II  i4 

1 157 

1200 

1243 

1286  1329 

1 

58 

6669 

6713 

6756 

6800 

6843 

6886 

I 

59 

1372 

i4i6 

1459 

l502 

[545  i588 

0 

59 

6930 

6973 

7017 

7060 

7io3 

7147 

0 

60" 

50"  1  40" 

30" 

20"  1  10" 

^ 

60" 

50" 

40" 

.SO" 

20" 

10" 

d 

Co  tangent  of  39  D-'sxt'ees. 

IS 

Co-tangent  of  38  Degrees. 

P 

j  1"  3"  3"  4"  5"  6"  7"  8"  9"   p 
•  *^^"  1  4  9  13  17  21  29  30  34  39 

p,  Jl"  2"  3"  4"  5"  6"  7"  8" 
•^"'^H  9  13  17  23  26  30  35  i 

9" 
59 

76 


Logarithmic   Sines. 


d 

iS 

Sine  of  52  Degrees. 

s 

bine  of  53  Degrees. 

0" 

10" 

20" 

30" 

40" 

50"  1 

0" 

10" 

20"   30" 

40"  t 

50" 

o 

9.896532 

6549 

6565 

658x 

6598 

66x4  59 

0 

9.902349 

2364 

23802396 

24X2 

2428 

59 

I 

663i 

6647 

6664 

6680 

6697 

67x358 

X 

2444 

2460 

2475 

2491 

2507 

2523 

58 

2 

6729 

6746 

6762 

6779 

6795 

68x2  57 

2 

2539 

2555 

257X 

2586 

2602 

26x8 

5? 

3 

6828 

6844 

6861 

6877 

6894 

6910  56 

3 

2634 

265o 

2666 

2681 

2697 

2713 

56 

4 

6926 

6943 

6959 

6976 

6992 

7009'55 

4 

2729 

2745 

2761 

2776 

2792 

2808 

55 

5 

7025 

7041 

7o58 

7074 

7090 

7x07  54 

5 

2824 

2840 

2856 

287X 

2887 

2903 

54 

6 

7123 

7140 

7x56 

7x72 

7x89 

720553 

6 

29x9 

2935 

2950 

2966 

2982 

2998 

53 

7 

7222, 

7238 

7254 

7271 

7287 

73o352 

7 

3ox4 

3029 

3o45 

3o6i 

3077 

3093 

52 

8 

732o| 

7336 

7353 

7369 

7385 

7402  5x 

8 

3io8 

3x24 

3x4o 

3x56 

3x71 

3187 

5i 

9 

74i8| 

7434 

745i 

7467 

7483 

75oo'5o 

9 

32o3 

32x9 

3235 

325o 

3266 

3282 

5o 

10 

9.897516 

7533 

7549 

7565 

7582 

759849 

10 

9.903298 

33i3 

3329 

3345 

336i 

3377 

49 

II 

7614 

763i 

7647 

7663 

7680 

7696148 

XX 

3392 

3408 

3424 

3440 

3455 

3471 

48 

12 

7712 

7729 

7745 

7761 

7778 

7794 

47 

12 

3487 

35o3 

35x8 

3534 

355o 

3566 

47 

i3 

7810 

7827 

7843 

7859 

7876 

7892 

46  x3 

358i 

3597 

36x3 

3629 

3644 

366o 

46 

i4 

7908 

7924 

7941 

7957 

7973 

7990 

45i:x4 

3676 

3691 

3707 

3723 

3739 

3754 

45 

i5 

8006 

8022 

8039 

8o55 

8071 

8088^ 

44l;i5 

3770 

3786 

38o2 

3817 

3833 

3849 

44 

i6 

8io4, 

8120 

8x36 

8x53 

8169 

8x85' 

43!;x6 

3864 

388o 

3896 

39x2 

3927 

3g43 

43 

I? 

8202 

8218 

8234 

825o 

8267 

8283 

42 

17 

3g59 

3974 

3990 

4oo6 

402I 

4o37 

42 

i8 

8299 

83x5 

8332 

8348 

8364 

838x 

4i 

x8 

4o53 

4069  4o84 

4xoo 

4ix6 

4x3i 

4i 

^9 

8397 

84i3 

8429 

8446 

8462 

8478 

4o 

19 

4i47 

4x634178 

4194 

42x0 

4225 

4o 

20 

9.898494 

85xx 

8527 

8543 

8559 

8576 

39 

20 

g. 904241 

4257 

4272 

4288 

43o4 

43xg 

39 

21 

8592, 

8608 

8624 

864i 

8657 

8673 

38 

21 

4335 

435i 

4366 

4382 

4398 

44x3 

38 

22 

8689 

8706 

8722 

8738 

8754 

8770 

37 

22 

4429 

4445 

4460 

4476 

4492 

4507 

37 

23 

8787 

88o3 

88x9 

8835 

8852 

8868 

36 

23 

4523 

453g 

4554 

4570 

4586 

46oi 

36 

24 

8S84 

8000 

8916 

8933 

8949 

8965 

35 

24 

46x7 

4632 

4648 

4664 

4679 

4695 

35 

25 

8981:8997 

90x4 

9o3o 

9046 

9062 

34 

25 

4711 

4726 

4742 

4757 

4773 

4789 

34 

26 

9078  9095 

gixi 

9x27 

9143 

9x59 

33 

26 

48o4 

4820 

4836 

485x 

4867 

4882 

33 

27 

9176  9192 

9208 

9224 

9240 

9256 

32 

27 

4898 

4914 

4929 

4945 

4960 

4976 

32 

28 

9273  g28g 

93o5 

9321 

9337 

9354 

3x 

28 

4992 

5007 

5o23 

5o38 

5o54 

5070 

3i 

29 

9370 

9386 

9402 

9418 

9434 

9450 

3o 

29 

5o85 

5xox 

5xx6 

5x32 

5x48 

5x63 

3o 

3o 

9-899467 

9483 

9499 

95x5 

953x 

9547 

29 

3o 

9.905x79 

5x94 

52X0 

5225 

524i 

5257 

29 

3i 

9564 

9580 

9596 

96x2 

9628 

9644 

28 

3x 

5272 

5288 

53o3 

53x9 

5334 

535o 

28 

32 

9660 

9677 

9693 

9709 

9725 

9741 

27 

32 

5366 

538x 

5397 

5412 

5428 

5443 

27 

33 

9757 

9773 

9789 

9806 

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26 

33 

5459 

5474 

5490 

55o6 

5521 

5537 

26 

34 

9854 

9870 

9886 

9902 

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25 

34 

5552 

5568 

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25 

35 

9951 

9967 

9983 

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24 

35 

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5676 

5692 

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5723 

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0079 

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23 

36 

5739 

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5770 

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23 

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5832 

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0738 

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52 

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7237 

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53 

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6 

53 

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7344 

7360 

7375 

7391 

6 

54 

1776 

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5 

54 

7406 

7421 

7437 

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7467 

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5 

55 

1872 

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1904 

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4 

55 

7498 

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7544 

7559 

7575 

4 

56 

1967 

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20X5 

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2047 

3 

56 

7590 

760517621 

7636 

765i 

7667 

3 

57 

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2079 

2095 

2X  10 

2x26 

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2 

57 

7682 

7697j77x3 

7728 

7743 

7759 

2 

58 

2x58  2174 

2x90 

2206 

2222 

2238 

X 

58 

7774 

778917805 

7820 

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59 

2253  2269 

2285 

23ox 

23X7 

2333 

0 

-  d 
S 

59 

7866 

788X  7896 

7912 
30" 

7927 
20' 

7942 

0 

60"   1  50" 

40" 

30" 

20" 

10" 

60" 

50"  1  40" 

10" 

.  d 

Co-sine  of  37  Degrees. 

Co-sine  of  36  Degrees. 

„  „  J  1"  2"  3"  4"  5"  6"  7"  8"  9" 
'^•^^"'2   3  5   6  8  10  11  13  15 

„„  Jl"  2"  3"  4"  5"  6"  7"  8"  9" 
^•^^'■^12  3   5  6   8  9  11  12  14 

Logarithmic  ' 

r  A  N  G  E  N  T  S. 

71 

r^ 

Tangent  of  52  Degrees. 

S 

Tangent  of  53  Degrees. 

0" 

10" 

20" 

30" 

40" 

50" 

0" 

10" 

20" 

30" 

40" 

50" 

0 

10. 107190 

7234 

7277 

7320 

7364 

7407 

59 

0 

10. 122886 

2929 

2973 

3017 

3o6i 

3io5 

59 

I 

745. 

7494 

7537 

758i 

7624 

7668 

58 

I 

3i48 

3192 

3236 

3280 

3324 

3368 

58 

o 

7711 

7754 

7798 

7841 

7885 

7928 

57 

2 

34ii 

3455 

3499 

3543 

3587 

363o 

57 

3 

7972 

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8o58 

8102 

8145 

8189 

56 

3 

3674 

3718 

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3893 

56 

4 

8232 

8275 

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55 

4 

3937 

3981 

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4ii3 

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55 

5 

8493 

8536 

8579 

8623 

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8710 

54 

5 

4200 

4244 

4288 

4332 

4376 

4420 

54 

6 

8753 

8797 

884o 

8884 

8927 

8970 

53 

6 

4463 

4507 

455i 

4595 

4639 

4683 

53 

7 

9014 

9057 

9101 

9144 

9188 

9231 

52 

7 

4727 

4770 

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4858 

4902 

4946 

52 

8 

9275 

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8 

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5077 

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5209 

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9 

9535 

9579 

9622 

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9 

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21 

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23 

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24 

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25 

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25 

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26 

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33 

26 

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27 

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32 

27 

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32 

28 

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28 

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29 

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29 

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29 

3i 

5281 

5325 

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5499 

28 

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1 143 

1187 

1232 

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28 

32 

5543 

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5717 

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27 

32 

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1 364 

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33 

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5935 

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26 

33 

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34 

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2025 

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35 

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21 13 

2157 

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45 

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9035 

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9123 

9166 

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45 

4760 

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4848 

4892 

4936 

4980 

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46 

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46 

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5201 

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47 

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9516 

9560 

9603 

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12 

47 

5290 

5334 

5378 

5422 

5466 

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12 

48 

9735 

9778 

9822 

9866 

9909 

9953 

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48 

5555 

5599 

5643 

5687 

5731 

5775 

1 1 

49 

9997 

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.  172 

.216 

10 

49 

5820 

5864 

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5952 

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10 

5o 

10. 120259 

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9 

5o 

io.i36o85 

6129 

6173 

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5i 

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0697 

0740 

8 

5i 

635o 

6394 

6438 

6483 

6527 

6571 

8 

52 

0784 

0828 

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0915 

0959 

ioo3 

7 

52 

66i5 

6659 

6704 

6748 

6792 

6836 

7 

53 

io47 

1091 

1 1 34 

1178 

1222 

1266 

6 

53 

6881 

6925 

6969 

7013 

7057 

7102 

6 

54 

1 309 

[353 

[397 

i44i 

1 484 

i528 

5 

54 

7146 

7190 

7234 

7279 

7323 

7367 

5 

55 

1572 

i6i6 

1659 

1703 

1747 

1791 

4 

55 

741 1 

7455 

7500 

7544 

7588 

7632 

4 

56 

i835 

1878 

1922 

1966 

2010 

2o53 

3 

56 

7677 

7721 

7765 

7809 

7854 

7898 

3 

57 

2097 

2l4l 

2i85 

2229 

2272 

23i6 

2 

57 

7942 

7986 

8o3i 

8075 

8119 

8i63 

2 

58 

236o 

24o4 

2448 

2491 

2535 

2579 

I 

58 

8208 

8252 

8296 

834i 

8385 

8429 

I 

59 

2623 

2667 

2710 

2754 

2798 

2842 

0 

59 

8473 

85i8 

8562 

8606 

865o 

8695 

0 

d 

60"    1  50" 

40" 

1  30" 

20" 

10" 

60"    1  50" 

40" 

30" 

20" 

10" 

Co-tangent  of  37  Degrees. 

Co-tangent  of  36  Degrees. 

P. 

„   11"  2"   3"  4"  5"  6"  7"  8"  9" 
^""■•^H  9  13  17  23  26  31  35  39 

„  „  ,  <  1"  2"  3"  4"  5"  6"  7"  8"  9" 
P.  Part  j^  9  13  18  22  26  31  35  40 

78 


LOGAKITHMIC    SiNES. 


Sine  of  54  Des^rees. 

- 

Sine  of  55  Degrees. 

0" 

10"  1  20" 

30" 

40" 

50" 

0" 

10" 

20" 

30" 

40"  1  50" 

0 

9.90795s 

7972 

7988 

8004 

8015 

8o34 

59 

0 

9.913365 

3379 

3394 

3409 

3423 

3438 

59 

I 

8049 

8o65 

8080 

8095 

8III 

8126 

58 

I 

3453 

3468 

3482 

3497 

35x2 

3527 

58 

2 

8i4i 

8i56 

8172 

8187 

8202 

8217 

57 

2 

3541 

3556 

3571 

3585 

36oo 

36x5 

57 

3 

8233 

8248 

8263 

8279 

8294 

83o9 

56 

3 

363o 

3644 

3659 

3674 

3688 

3703 

56 

4 

8324 

834o 

8355 

8370 

8385 

84oi 

55 

4 

3718 

3733 

3747 

3762 

3777 

3791 

55 

5 

84i6 

843i 

8446 

8462 

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54 

5 

38o6 

3821 

3836 

385o 

3865 

388o 

54 

6 

85o7 

8523 

8538 

8553 

85688584 

53 

6 

3894 

3909 

3924 

3938 

3953 

3968 

53 

7 

8599 

86i4 

8629 

8644 

86608675 

52 

7 

3982 

3997 

40I2 

4026 

4o4i 

4o56 

52 

8 

8690 

8705 

8721 

8736 

8751  8766 

5i 

8 

4070 

4o85 

4  I  00 

4ii4 

4129 

4x44 

5x 

9 

8781 

8797 

8812 

8827 

88428857 

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9 

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4173 

4i88 

4202 

42x7 

4232 

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9.908873 

8888 

8903 

8918 

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49 

10 

9.914246 

4261 

4276 

4290 

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49 

1  f 

8964 

8979 

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9009 

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48 

1 1 

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4349 

4364 

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48 

12 

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9101 

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47 

12 

4422 

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47 

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46 

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4539 

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4568 

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46 

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9267 

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45 

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45 

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9358 

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44 

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4685 

4700 

4714 

4729 

4744 

4758 

44 

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9464 

9480 

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43 

16 

4773 

4787 

4802 

4817 

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4846 

43 

I? 

95 10 

9525 

9540 

9555 

95709586 

42 

17 

4860 

4875 

4890 

4904 

4919 

4933 

42 

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9616 

9631 

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4i 

18 

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19 

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9707 

9722 

9737 

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19 

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5o5o 

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5079 

5094 

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20 

9.909782 

9797 

9812 

9827 

9843;9858 

39 

20 

9. 9i5i23 

5i37 

5x52 

5x66 

5x8i 

5196 

39 

21 

9873 

9888 

9903 

9918 

9933  9948 

38 

21 

5210 

5225 

5239 

5254 

5268 

5283 

38 

22 

9963 

9978 

9994 

...9 

..24 

..39 

37 

22 

5297 

53i2 

5326 

5341 

5356 

5370 

37 

23 

9.910054 

0069 

0084 

0099 

01 14 

0129 

36 

23 

5385 

5399 

54x4 

5428 

5443 

5457 

36 

24 

oi44 

0159 

0175 

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35 

24 

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35 

25 

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34 

25 

5559 

5573 

5588 

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34 

26 

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33 

26 

5646 

566o 

5675 

5689 

5704 

5718 

33 

27 

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0476 

0491 

32 

27 

5733 

5747 

5762 

5776 

5791 

58o5 

32 

28 

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28 

5820 

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29 

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061 1 

0626 

064 1 

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3o 

29 

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5921 

5936 

5950 

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9.910686 

0701 

0716 

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29 

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9.915994 

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29 

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28 

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6x53 

28 

32 

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0926 

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27 

32 

6167 

6182 

6x96 

621 X 

6225 

6240 

27 

33 

0956 

0971 

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1 00 1 

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io3i 

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33 

6254 

6268 

6283 

6297 

63x2 

6326 

26 

34 

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1061 

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1 106 

1 121 

25 

34 

634i 

6355 

6369 

6384 

6398 

64x3 

25 

35 

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1181 

[  196 

121 1 

24 

35 

6427 

6442 

6456 

6470 

6485 

6499 

24 

36 

1226 

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1271 

1286 

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23 

36 

65i4 

6528 

6543 

6557 

6571 

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23 

37 

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1 345 

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1375 

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22 

37 

6600 

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6658 

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22 

38 

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6687 

6701 

6715 

6730 

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1689 

1704 

1719 

1734 

1748 

18 

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6960 

6974 

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7003 

70x7 

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1763 

1778 

1793 

1808 

1823 

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42 

7032 

7046 

7060 

7075 

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1897 

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1942 

1957 

1972 

1987 

2002 

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2210 

2225 

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2255 

2269 

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2299 

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7548 

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55 

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56 

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57 

3099 

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3i43 

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3173 

2 

57 

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8347 

836i 

8375 

8389 

2 

58 

3187 

3202 

3217 

3232 

3247 

3261 

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58 

84o4 

84i8 

8432 

8446 

846i 

8475 

1 

59 

3276 

3291 

33o6 

3320 

3335 

335o 

0 

59 

8489 

85o3 

85x7 

8532 

8546 

B56o 

0 

60" 

50" 

40" 

30" 

20" 

10" 

60" 

50" 

40"   30" 

20" 

10" 

Co-sine  of  35  Degrees. 

Co-sine  of  34  Degrees. 

P.F 

.  i  1"  2"  3"  4"  5"  6"  7"  8"  i 
*"|2  3  5  6  8  9  11  12  1 

4 

P  p«r^  i  1"  2"  3"  4"  5"  6"  7"  8"  9" 
^'^^'*-(  1  3  4  6  7  9  10  12  13 

Logarithmic  Tangents. 

79 

d 

THUu-ent  of  54  Degrees. 

Tangent  of  55  Degrees. 

0" 

10" 

20" 

30" 

40" 

50" 

0" 

10" 

20" 

30" 

40"   50" 

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8872 

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58 

X 

5o42 

5087 

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5177 

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5266 

58 

2 

9270 

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2 

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5490 

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9669 

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6 

6388 

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0733 

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52 

7 

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6747 

6791 

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8 

0866 

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6926 

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10. 144062 

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28 

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2325 

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29 

6465 

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6598 

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2595 

2640 

2685 

2730 

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10. 146732 

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3227 

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32 

7267 

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32 

3407 

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33 

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33 

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3723 

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34 

7801 

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7935 

7980 

8024 

25 

34 

3949 

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4174 

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35 

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8247 

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24 

35 

4220 

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43x0 

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36 

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8425 

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23 

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4491 

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8738 

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22 

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22 

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52x3 

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8835 

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53 

2892 

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53 

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3206 

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3295 

3340 

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55 

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58 

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4280 

4325 

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59 

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0740 

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0 

c 

60"     50" 

40' 

30' 

1  20" 

10" 

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60'" 

50'"  1  40' 

30" 

20'' 

10" 

Co-tangent  of  35  Degrees. 

S 

Co-tangent  of  34  Degree 

s. 

P 

,  „  ,  j  1"  r   3"  4"  5"  6"  7"  8"  9" 
•  ^""  H  9  13  18  23  27  31  36  40 

P  Pnr.  i  1"  2"  3"  4"  5"  6"  7"  8" 
P.Fart-jg  g  j4  ig  23  27  32  36  ^ 

9" 
U 

80 

Logarithmic  Sines. 

r 

d 

Sine  of  56  Degrees. 

1 

Sine  of  57  Degrees. 

0"     10" 

20" 

30"  1  40" 

50" 

0" 

10" 

20" 

30" 

40"  1  50" 

o 

9.9i8574|8588 

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0 

9.92359X 

36o5 

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8688 

8702 

8716 

8730 

58 

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3673 

3687 

370X 

3714 

3728  3742 

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2 

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2 

3755 

3769 

3783 

3796 

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3 

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8858:8872 

8886 

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3837 

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3865 

3878 

3892 

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4 

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4 

39x9 

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55 

5 

9000  9014 

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54 

5 

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4028 

4042 

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54 

6 

90859099 

9n3 

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9141 

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53 

6 

4o83 

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4 1 24 

4i37 

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7 

9169  9184 

9198 

9212 

9226 

9240 

52 

7 

4i64 

4178 

4192 

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8 

9254  9268 

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9311 

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9 

9339'9353 

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9.919424  9438 

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37 

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3o 

9.926029 

6043 

6o56 

6069 

60836096 

29 

3i 

1190 

I2o4 

1218 

1232 

X246 

X260 

28 

3i 

61x0 

6x23 

6x36 

6x5o 

6x63|6x77 

28 

32 

1274 

1288 

l302 

i3i5 

x329 

x343 

27 

32 

G190 

6203 

6217 

6230 

6244|6257 

27 

33 

i357 

1371 

i385 

i399 

x4i3 

1427 

26 

33 

6270 

6284 

6297 

63xx 

6324i6337 

26 

34 

i44i 

1455 

i468 

l482 

1496 

i5xo 

25 

34 

635i 

6364 

6377 

639X 

64o4  64ib 

25 

35 

i524 

i538 

i552 

1 566 

x58o 

1593 

24 

35 

643 1 

6444 

6458 

6471 

6484^6498 

24 

36 

1607 

1621 

i635 

1649 

x663 

1677 

23 

36 

65ix 

6525 

6538 

655x 

6565:6578 

23 

37 

1 69 1 

1704 

1718 

1732 

1746 

X760 

22 

37 

6591 

66o5 

6618 

663x 

6645  6658 

22 

38 

1774 

1788 

l802 

i8i5 

1829 

1843 

21 

38 

667X 

6685 

6698 

67x1 

6725  6738 

2X 

39 

1857 

1871 

i885 

1899 

19x2 

1926 

20 

39 

675X 

6765 

6778 

6791 

68o5  68i8 

20 

4o 

9.921940 

1954 

1968 

1982 

X995 

2009 

19 

40 

9.92683X 

6845 

6858 

687X 

68856898 

•9 

4i 

2023 

2037 

2o5l 

2  06  5 

2079 

2092 

18 

4i 

691 X 

6925 

6938 

6951 

6965,6978 

18 

42 

2106 

2120 

2i34 

2i48 

2x62 

2175 

17 

42 

699X 

7oo5 

7018 

7o3x 

7044 

7o58 

17 

43 

2189 

2203 

2217 

223  I 

2244 

2258 

x6 

43 

7071 

7084 

7098 

7x11 

7x24 

7x38 

16 

44 

2272 

2286 

23oo 

23i3 

2327 

2  341 

i5 

44 

7x5x  7164 

7177 

719X 

7204 

7217 

x5 

45 

2355 

2369 

2383 

2396 

2410 

2424 

i4 

45 

7231 

7244 

7257 

7270 

7284 

7297 

i4 

46 

2438 

2452 

2465 

2479 

2493 

2507 

x3 

46 

73x0 

7324 

7337 

7350 

7363 

7377 

x3 

47 

2520 

2534 

2548 

2562 

2576 

2589 

X2 

47 

7390 

74o3 

74i6 

743o 

7443 

7456 

X2 

48 

2603 

2617 

263i 

2644 

2658 

2672 

XI 

48 

7470 

7483 

7496 

7509 

7523 

7536 

X  I 

49 

2686 

3700 

2713 

2727 

2741 

2755 

10 

49 

7549 

7562 

7576 

7589 

7602 

76x5 

XO 

5o 

9  922768 

2782 

2796 

2810 

2823 

2837 

9 

5o 

9.927629,7642 

7655 

7668 

768X 

7695 

9 

5i 

285i 

2865 

2878 

2892 

2906 

2920 

8 

5x 

7708 

7721 

7734 

7748 

7761 

7774 

8 

52 

2933 

2947 

2961 

2975 

2988 

3oo2 

7 

52 

7787 

78ox 

78x4 

7827 

7840 

7853 

7 

53 

3oi6 

3o3o 

3o43 

3o57 

3071 

3o84 

6 

53 

7867 

7880 

7893 

7906 

7920 

7933 

6 

54 

3098 

3i  12 

3x26 

3i39 

3x53 

3x67 

5 

54 

7946 

7959 

7972 

7986 

7999:80x2 

5 

55 

3i8i 

3194 

3208 

3222 

3235 

3249 

4 

55 

8025 

8o38 

8o52 

8o65 

8078  8091 

4 

56 

3263 

3277 

3290 

33o4 

33i8 

333x 

3 

56 

8xo4 

8xx8 

8x3x 

8x44 

8x57 

8x70 

3 

57 

3345 

3359 

3372 

3386 

3400 

34i4 

2 

57 

8x83 

8x97 

82x0 

8223 

8236 

8249 

2 

58 

3427 

3441 

3455 

3468 

3482 

3496 

I 

58 

8263 

8276 

8289 

83o2 

83i5 

8328 

X 

59 

3509 

3523 

3537 

355o 

3564 

3578 

0 

d 

59 

834218355 

8368 

838x 

8394 

8407 

0 

60" 

50" 

40" 

30" 

20" 

10" 

60"    1  50" 

40" 

30" 

20" 

10' 

Co-sine  of  33  Degrees. 

Co-sine  of  32  Degrees. 

P  P«r^  i  1"  2"  3"  4"  5"  6"  7"  8"  9" 
r.  rare  ^  ^   ^   ^   g   ^   g   jq  11  13 

p  p  ,jl"  3"  3"  4"  5"  6"  7"  8"  9" 
v.i-m-^^     3  4  5  7  8  9  11  13 

LOGAKITHMIC 

Tangents. 

81 

Tangent  of  56  Degrees. 

- 

d 

Tangent  of  57  Degrees. 

5y 

0" 

10" 

20" 

30" 

40"  1  50" 

0"    1  10"  1  20" 

30" 

40" 

50" 
7713 

c 

10. 17101;: 

loSt 

iio3 

"49 

1194 

1240 

5^ 

0 

10.187483 

7529I7575 

7U21 

7667 

I 

1285 

i33i 

1376 

1421 

1467 

l5l2 

58 

I 

7759 

7805 

785i 

7898 

7944  7990 

58 

2 

i558 

i6o3 

1649 

1694 

1739 

1785 

57 

2 

8o36 

8082 

8128 

8174 

822018267 

57 

3 

i83c 

1876 

1921 

1967 

2012 

2o58 

56 

3 

83i3 

8359 

84o5 

845 1 

8497 

8543 

56 

4 

2I03 

2149 

2194 

2239 

2285 

233o 

55 

4 

8590 

8636 

8682 

8728 

8774 

8820 

55 

5 

2376 

2421 

2467 

25l2 

2558 

2603 

54 

5 

8866 

8913 

8959 

9005 

9o5x 

9097 

54 

6 

2649 

2694 

2740 

2785 

283i 

2876 

53 

6 

9143 

9190 

9236 

9282 

9328 

9374 

53 

7 

2922 

2967 

3oi3 

3o58 

3io4 

3i49 

52 

7 

9420 

9467 

95i3 

9559 

9605 

9651 

52 

8 

3195 

3240 

3286 

333i 

3377 

3422 

5i 

8 

9698 

9744 

9790 

9836 

9882 

9929 

5i 

9 

3468 

35i3 

3559 

36o4 

365o 

3695 

5o 

9 

9975 

.  .21 

..67 

.ii3 

.  160 

.206 

5o 

10 

10. 173741 

3786 

3832 

3877 

3923 

3968 

49 

10 

10. 190252 

0298 

o344 

0391 

0437 

o483 

49 

11 

4oi4 

4o6o 

4io5 

4i5i 

4196 

4242 

48 

11 

0529 

0576 

0622 

0668 

0714 

0760 

48 

12 

4287 

4333 

4378 

4424 

4469 

45i5 

47 

12 

0807 

o853 

0899 

0945 

0992 

io38 

47 

i3 

456i 

4606 

4652 

4697 

4743 

4788 

46 

i3 

1084 

ii3o 

1177 

1223 

1269 

i3x5 

46 

i4 

4334 

488o 

4925 

4971 

5oi6 

5o62 

45 

i4 

i362 

i4o8 

1454 

i5oi 

1547 

1593 

45 

i5 

5i07 

5j53 

5199 

5244 

5290 

5335 

44 

i5 

1639 

1686 

1732 

1778 

1824 

1871 

44 

i6 

538i 

5427 

5472 

55i8 

5563 

5609 

43 

16 

1917 

1963 

2010 

2o56 

2102 

2149 

43 

17 

5655 

5700 

5746 

5791 

5837 

5883 

42 

17 

2195 

2241 

2287 

2334 

238o 

2426 

42 

i8 

5928 

5974 

6019 

6o65 

61 1 1 

6i56 

4i 

18 

2473 

25i9 

2565 

26x2 

2658 

2704 

4i 

19 

6202 

6247 

6293 

6339 

6384 

643o 

4o 

19 

2751 

2797 

2843 

2890 

2936 

2982 

4o 

20 

10. 176476 

6521 

6567 

66i3 

6658 

6704 

39 

20 

10. 193029 

3075 

3l21 

3i68 

32x4 

3260 

39 

21 

6749 

6795 

684i 

6886 

6932 

6978 

38 

21 

3307 

3353 

3399 

3446 

3492 

3538 

38 

22 

7023 

7069 

71 15 

7160 

7206 

7252 

37 

22 

3585 

363i 

3678 

3724 

3770 

3817 

37 

23 

7297 

7343 

7389 

7434 

7480 

7526 

36 

23 

3863 

3909 

3956 

4002 

4o49 

4095 

36 

24 

7571 

7617 

7663 

7708 

7754 

7800 

35 

24 

4i4i 

4i88 

4234 

4281 

4327 

4373 

35 

25 

7846 

7891 

7937 

7983 

8028 

8074 

34 

25 

4420 

4466 

45i3 

4559 

46o5 

4652 

34 

26 

8l20 

8i65 

8211 

8257 

83o3 

8348 

33 

26 

4698 

4745 

4791 

4837 

4884 

4930 

33 

27 

8394 

844o 

8485 

853i 

8577 

8623 

32 

27 

4977 

5o23 

5070 

5ii6 

5x62 

5209 

32 

28 

8668 

8714 

8760 

88o5 

885i 

8897 

3i 

28 

5255 

53o2 

5348 

5395 

5441 

5487 

3i 

29 

8943 

8988 

9034 

9080 

9126 

9171 

3o 

29 

5534 

558o 

5627 

5673 

5720 

5766 

3o 

3o 

10. 179217 

9263 

9309 

9354 

9400 

9446 

29 

3o 

10.195813 

5859 

5906 

5952 

5999 

6045 

29 

3i 

9492 

9537 

9583 

9629 

9675 

9720 

28 

3i 

6091 

6i38 

6i84 

6231 

6277 

6324 

28 

32 

9766 

9812 

9858 

9904 

9949 

9995 

27 

32 

6370 

64i7 

6463 

65io 

6556 

66o3 

27 

33 

10. i8oo4i 

0087 

0l32 

0178 

0224 

0270 

26 

33 

6649 

6696 

6742 

6789 

6835 

6882 

26 

34 

o3i6 

o36i 

o4o7 

0453 

0499 

o545 

25 

34 

6928 

6975 

7021 

7068 

7114 

7161 

25 

35 

0590 

o636 

0682 

0728 

0774 

0819 

24 

35 

7208 

7254 

7301 

7347 

7394 

7440 

24 

36 

o865 

091 1 

0957 

ioo3 

io48 

1094 

23 

36 

7487 

7533 

7580 

7626 

7673 

7719 

23 

37 

I  i4o 

1186 

1232 

1278 

i323 

1369 

22 

37 

7766 

7813 

7859 

7906 

7952 

7999 

22 

38 

i4i5 

i46i 

i5o7 

i553 

1598 

1 644 

21 

38 

8045 

8092 

8i38 

8i85 

8232 

8278 

21 

39 

1690 

1736 

1782 

1828 

1874 

1919 

20 

39 

8325 

8371 

84i8 

8465 

85ii 

8558 

20 

4o 

10. 181965 

2011 

2057 

2I03 

2149 

2195 

19 

40 

10. 198604 

865i 

8697 

8744 

8791 

8837 

'9 

4i 

2241 

2286 

2332 

2378 

2424 

2470 

18 

4i 

8884 

8930 

8977 

9024 

9070 

9117 

x8 

42 

25i6 

2562 

2608 

2653 

2699 

2745 

'7 

42 

9164 

9210 

9257 

93o3 

9350 

9397 

17 

43 

2791 

2837 

2883 

2929 

2975 

3021 

16 

43 

9443 

9490 

9537 

9583 

9630 

9676 

16 

44 

3067 

3ll2 

3x58 

3204 

325o 

3296 

i5 

44 

9723 

9770 

9816 

9863 

9910 

9956 

i5 

45 

■3342 

3388 

3434 

3480 

3526 

3572 

i4 

45 

IO.2O0Oo3 

oo5o 

0096 

0143 

0190 

0236 

i4 

46 

36i8 

3664 

3709 

3755 

38oi 

3847 

i3 

46 

0283 

o33o 

0376 

0423 

0470 

o5i6 

i3 

47 

3893 

3939 

3985 

4o3i 

4077 

4i23 

12 

47 

o563 

0610 

o656 

0703 

0750 

0796 

12 

48 

4169 

42l5 

4261 

4307 

4353 

4399 

1 1 

48 

0843 

0890 

0937 

0983 

xo3o 

1077 

11 

49 

4445 

4491 

4537 

4583 

4629 

4674 

10 

49 

II23 

1 170 

1217 

1263 

x3io 

1357 

10 

5o 

10. 184720 

4766 

4812 

4858 

4904 

4950 

9 

5o 

I0.20l4o4 

i45o 

'497 

i544 

159X 

1637 

9 

5i 

4996 

5o42 

5o88 

5 1 34 

5i8o 

5226 

8 

5i 

i684 

1731 

1777 

1824 

187X 

1918 

8 

52 

5272 

53i8 

5364 

5410 

5456 

55o2 

7 

52 

1964 

201 1 

2o58 

2io5 

2l5l 

2198 

7 

53 

5548 

5594 

564o 

5686 

5732 

5778 

6 

53 

2245 

2292 

2338 

2385 

2432 

2479 

6 

54 

5824 

5871 

5917 

5963 

6009 

6o55 

5 

54 

2526 

2572 

2619 

2666 

27x3 

2759 

5 

55 

6101 

6147 

6193 

6239 

6285 

633i 

4 

55 

2806 

2853 

2900 

2947 

2993 

3o4o 

4 

56 

6377 

6423 

6469 

65i5 

656t 

6607 

3 

56 

3087 

3x34 

3i8i 

3227 

3274 

3321 

3 

57 

6653 

6699 

6745 

6791 

6837 

6884 

2 

57 

3368 

34i5 

3461 

35o8 

3555 

36o2 

2 

58 

6930 

6976 

7022 

7068 

7114 

7160 

I 

58 

3649 

3696 

3742 

3789 

3836 

3883 

1 

59 

7206 

7252 

7298 

7344 

7390 

7437 

0 

59 

3930 

3977 

4o23 

4070 

4117 

4i64 

0 

60"    1  50"  1  40" 

30" 

20" 

10" 

60" 

50" 

40" 

30" 

20" 

10" 

'a 

Co-tangent  of  33  Degrees. 

Co-tangent  of  32  Degrees. 

P. 

„„,  j  1"  2"  3"  4"  5"  6"  7"  8"  9" 
(5    9  14  18  23  27  32  37  41 

P. 

Pnrf  i  1"  2"  3"  4"  5"  6"  7" 
^"'^5  9  14  19  23  28  33 

8"  ! 
37  4 

F 


82 


Logarithmic   Sines. 


Sine  of  58  Degrees. 

a 

Sine  of  59  Degrees. 

0" 

10" 

20" 

30" 

40" 

50" 

0"    10" 

20" 

30" 

40" 

50" 

o 

9.928420 

8434 

8447 

846o 

8473 

8486 

59 

0 

9.933066I3078 

3091 

3io4 

3n6 

3129 

59 

1 

8499 

85i3 

8526 

8539 

8552 

8565 

58 

1 

3i4i 

3i54 

3167 

3179 

3192 

32o5 

58 

2 

8578 

8591 

86o5 

86i8 

863i 

8644 

57 

2 

3217 

323o 

3243 

3255 

3268 

3280 

57 

3 

8657 

8670 

8683 

8696 

8710 

8723 

56 

3 

3293 

33o6 

33i8 

333i 

3344 

3356 

56 

4 

8736 

8749 

8762 

8775 

8788 

8801 

55 

4 

3369 

338i 

3394 

3407 

3419 

3432 

55 

5 

88i5 

8828 

884i 

8854 

8867 

8880 

54 

5 

3445 

3457 

3470 

3482 

3495 

35o8 

54 

6 

8893 

8906 

8919 

8933 

8946 

8959 

53 

6 

3520 

3533 

3545 

3558 

3571 

3583 

53 

7 

8972 

8985 

8998 

901 1 

9024 

9037 

52 

7 

3596 

36o8 

3621 

3633 

3646 

3659 

52 

8 

9o5o 

9063 

9077 

9090 

9103 

91 16 

5i 

8 

3671 

3684 

3696 

3709 

3722 

3734 

5i 

9 

9129 

9142 

9155 

9168 

9181 

9194 

5o 

9 

3747 

3759 

3772 

3784 

3797 

38io 

5o 

10 

9.929207 

9220 

9233 

9247 

9260 

9273 

49 

10 

9.933822 

3835 

3847 

386o 

3872 

3885 

49 

II 

9286 

9299 

9312 

9325 

9338 

9351 

48 

1 1 

3898 

3gio 

3923 

3935 

3948 

3960 

48 

12 

9364 

9^77 

9390 

94o3 

9416 

9429 

47 

12 

3973 

3985 

3998 

4oi  I 

4o23 

4o36 

47 

i3 

9442 

9455 

9468 

9482 

9495 

9508 

46 

i3 

4o48 

4o6i 

4073 

4o86 

4098 

4i  II 

46 

i4 

9521 

9534 

9547 

9560 

9573 

9586 

45 

i4 

4i23 

4i36 

4i48 

4i6i 

4174 

4i86 

45 

i5 

9599 

9612 

9625 

9638 

9651 

9664 

44 

i5 

4199 

421 1 

4224 

4236 

4249 

4261 

44 

i6 

9677 

9690 

9703 

9716 

9729 

9742 

43 

16 

4274 

4286 

4299 

43ii 

4324 

4336 

43 

I? 

9755 

9768 

9781 

9794 

9807 

9820 

42 

17 

4349I4361 

4374 

4386 

4399 

44ii 

42 

i8 

9833 

9846 

9859 

9872 

9885 

9898 

4i 

18 

44244436 

4449 

446i 

4474 

4486 

4i 

19 

9911 

9924 

9937 

9950 

9963 

9976 

4o 

>9 

4499  45ii 

4524 

4536 

4549 

456i 

4o 

20 

9.929989 

.  .  .2 

..i5 

..28 

..4i 

..54 

39 

20 

9.9345744586 

4599 

46ii 

4624 

4636 

39 

21 

9.930067 

0080 

0093 

0106 

0119 

Ol32 

38 

21 

4649U661 

4674 

4686 

4699 

4711 

38 

22 

oi45 

oi58 

0171 

0184 

0197 

0210 

37 

22 

4723'4736 

4748 

4761 

4773 

4786 

37 

23 

0223 

0236 

0249 

0262 

0274 

0287 

36 

23 

4798:4811 

4823 

4836 

4848 

486i 

36 

24 

o3oo 

o3i3 

o326 

0339 

o352 

o365 

35 

24 

4873;4885 

4898 

4910 

4923 

4935 

35 

25 

0378 

0391 

o4o4 

o4i7 

o43o 

0443 

34 

25 

4948  4960 

4973 

4985 

4997 

5oio 

34 

26 

o456 

0469 

0482 

0495 

o5o7 

o520 

33 

26 

5o22  5o35 

5o47 

5o6o 

5072 

5o84 

33 

27 

o533 

o546 

0559 

0572 

o585 

0598 

32 

27 

5o97'5io9 

5l22 

5i34 

5i47 

5i59 

32 

28 

061 1 

0624 

0637 

o65o 

o663 

0675 

3i 

28 

5i7i'5i84 

5196 

5209 

5221 

5234 

3i 

29 

068  S 

0701 

0714 

0727 

0740 

0753 

3o 

29 

52465258 

5271 

5283 

5296 

53o8 

3o 

3o 

9.930766 

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59 

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7470 

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7494  75o6  7518 

0 

60" 

50" 

40" 

30" 

20" 

10" 

d 

i 

2 

CO" 

50" 

40" 

30"  1  20"  1  in" 

c 

Co-sine  of  .31  Degrees. 

Co-sine  of  30  Degrees. 

"<• 

P.F 

,„.  j  1"  2"  3"  4"  5"  6"  7"  8"  ! 
^"U  3  4  5  6  8  9  10  1 

P  Porf  i  1"  2"  3"  4"  5"  6"  7"  8"  9" 
r.rarc-^  1   2   4   5   6   7   9  10  11 

Logarithmic 

Tangents. 

83 

Tangent  of  58  Degrees. 

S 

Tangent  of  59  Degrees. 

0" 

10"  1  20" 

30"   40" 

50" 

0" 

10" 

20" 

30" 

40" 

50" 

o 

10.20421 1 

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4398 

4445 

59 

0 

10.221226 

1274 

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4492 

4539 

4586 

4633 

4679 

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1703 

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2 

4773 

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2 

1799 

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1894 

1942 

1990 

2037 

57 

3 

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5289 

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3 

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2181 

2228 

2276 

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56 

4 

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5383 

5430 

5477 

5524 

5570 

55 

4 

2372 

2419 

2467 

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2563 

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55 

5 

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54 

5 

2658 

2706 

2754 

2801 

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6 

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6 

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7 

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6791 

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3901 

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25 

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27 

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28 

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10.212681 

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48 

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10.218369 

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53 

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6715 

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54 

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9559  9606 

9654 

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56 

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58 

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0 

CO"    1  50" 

40" 

30" 

20" 

10" 

a 

60"     50" 

40" 

30" 

20' 

30' 

^ 

Co-tangent  of  31  Degrees. 

Co-tangent  of  30  Degrees. 

p  T,  ,  j  1"  3"  3"  4"  5"  6"  7"  8"  9" 
*^-  ^  "^  ^5  9  14  19  24  28  33  38  43 

P. 

j  1"  2"  3"  4"  5"  6"  7"  8" 
^"^5  10  14  19  24  29  34  39  ' 

9" 
i3 

84 

LOGAKITHMIC  81NES. 

n' 

Sine  of  60  Degrees. 

d 

Sine  of  61  Degrees. 

0" 

10' 

30'' 

30" 

40" 

50" 

0"       !  10" 

20" 

30"   40"  1  50" 

0 

9.937531 

7543 

7555 

7567 

7579 

7591 

59 

0 

9.941819 

i83i 

1843 

i854  1866 

1878 

59 

T 

7604 

7616 

7628 

7640 

7652 

7664 

58 

I 

1889 

1901 

1913 

1924 

1936 

1948 

58 

2 

7676 

7689 

7701 

7713 

7725 

7737 

57 

2 

1959 

1971 

1983 

1994 

2006 

2017 

57 

3 

7749 

7761 

7773 

7786 

7798 

7810 

56 

3 

2029 

204l 

2052 

2064 

2076 

2087 

56 

4 

7822 

7834 

7846 

7858 

7870 

7883 

55 

4 

2099 

21  I  I 

2122 

2i34 

2l46 

2157 

55 

5 

7895 

7907 

7919 

7931 

7943 

7955 

54 

5 

2169 

2180 

2192 

2204 

22l5 

2227 

54 

6 

7967 

7979 

7992 

8oo4 

8016 

8028 

53 

6 

2239 

225o 

2262 

2273 

2285 

2297 

53 

7 

8o4o 

8o52 

8064 

8076 

8088 

8100 

52 

7 

23o8 

2320 

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2343 

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8 

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8125 

8137 

8149 

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9 

8 1 85 

8197 

8209 

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2448 

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9.938258 

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9.942517 

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2587 

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2610 

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2818 

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2841 

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44 

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2864 

2876 

2887 

2899 

2910 

2922 

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8691 

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8715 

8727 

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43 

16 

2934 

2945 

2957 

2968 

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2991 

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8800 

8812 

8824 

42 

17 

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42 

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8836 

8848 

8860 

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8884 

8896 

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18 

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3107 

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8920 

8932 

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19 

3i4i 

3i53 

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3176 

3187 

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20 

9.938980 

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9004 

9016 

9028 

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20 

9.943210 

3222 

3233 

3245 

3256 

3268 

39 

21 

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9064 

9076 

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9099 

91 1 1 

38 

21 

3279 

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33i4 

3325 

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38 

22 

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9135 

9147 

9159 

9171 

9183 

37 

22 

3348 

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3371 

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3394 

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37 

23 

9195 

9207 

9219 

9231 

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36 

23 

3417 

3429 

3440 

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24 

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33 

26 

3624 

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33 

27 

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9494 

9506 

9518 

9530 

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32 

27 

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3704 

3715 

3727 

3738 

3750 

32 

28 

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1959 

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60"   1  50" 

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Co-sine  of  27  Degrees. 

Co-sine  of  26  Degrees. 

P.I 

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0 

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50"  1  40"   30" 

20" 

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i 

Co-tangent  of  27  Degrees, 

Co-tangent  of  26  Degrees. 

P  vor,  i  1"  '^"  ^"   4"  5"  6"  7"  8"  9" 
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9" 
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88 


LOGAEITHMIC     SiNES. 


.s 

Sine  of  64  Degrees. 

- 

.s 

Sine  of  65  Degrees. 

0"    1  10"   20" 

30"  1  40" 

50" 

0"    1  10" 

20" 

30" 

40" 

50" 

o 

9.95366c 

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0 

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3722 

3732 

3742 

3753 

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7335:73447354 

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5579 

5589 

5599 

28 

3i 

9080,9090 

9100 

9109 

9119 

9128 

28 

32 

5609 

5619 

5629 

5639 

5649 

5659 

27 

32 

91389148 

9157 

9167 

9176 

9186 

27 

33 

5669 

5679 

5689  5699 

5709 

5719 

26 

33 

9195  9205 

9215 

9224 

9234 

9243 

26 

34 

5729 

5739 

5749 

5759 

5769 

5779 

25 

34 

9253,9262 

9272 

9282 

9291 

9301 

25 

35 

5789 

3799 

5809 

5819 

5829 

5839 

24 

35 

9310  9320 

9329 

9339 

9348 

9358 

24 

36 

58495859 

5869 

5879 

5889 

5899 

23 

36 

9368  9377 

9387 

9396 

9406 

94i5 

23 

37 

59095919 

5929 

5939 

5949  5959 

22 

37 

9425  9434 

9444 

9453 

9463 

9473 

22 

38 

5969 

3979 

5989 

D999 

6009:6019 

21 

38 

9482  9492 

9501 

9511 

9520 

9530 

21 

39 

6029 

6039 

6049 

6059 

6069 

6079 

20 

39 

9539'9549 

9558 

9568 

9577 

9587 

20 

4o 

9.956089  6099 

6108 

6n8 

6128 

6i38 

19 

4o 

9.959596:9606 

9615 

9625 

9634 

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19 

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6i486£58 

6168 

6178 

6188 

6198 

18 

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9654,9663 

9673 

9682 

9692 

9701 

18 

42 

6208  6218 

6228 

6238 

6248 

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17 

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9711  9720 

9730 

9739 

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17 

43 

6268,6278 

6288 

6298 

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16 

43 

9768:9777 

9787 

9796 

9806 

9815 

16 

44 

63276337 

6347 

6357 

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44 

9825:9834 

9844 

9853 

9863 

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45 

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6427,6437 

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45 

9882  9891 

9900 

9910 

9919 

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46 

64476457 

6466 

6476 

6486  6496 

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46 

9938!9948 

9957 

9967 

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0071 

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6763 

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8 

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0222  0232 

0241 

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0260 

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8 

52 

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6823  6833 

6843 

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7 

52 

0279 

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53 

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6902 

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53 

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6 

54 

6921 

6931 

6941 

6951 

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5 

54 

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0439 

5 

55 

6981J 

6990 

7000 

7010 

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4 

55 

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0467 

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56 

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7079  7089 

3 

56 

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3 

57 

7099 

7109 

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7128 

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2 

57 

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0589 

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2 

58 

7i58 

7168 

7177 

7187 

7197 

7207 

I 

58 

0618  0627 

o636 

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o655 

o665 

I 

59 

7217 

7227 

7236 

7246 

7256  7266 

0 

59 

0674  o683 

0693 

0702 

071 1 

0721 

0 

60" 

50" 

40" 

30" 

20"  1  10" 

60"   !  50"  j 

40" 

30" 

20" 

10" 

Co-sine  of  25  Degrees. 

Co-sine  of  24  Degrees. 

P.P 

(  1"  2"  3"  4"  5"  6"  7"  8"  < 
^■(12345678' 

P. 

p  .  j  1"  2"  3"  4"  5"  6"  7"  8"  9" 
^^"  (123456   789 

Logarithmic 

Tangents, 

89 

Tangent  of  64  Degrees. 

- 

a 

Tangent  of  65  Degrees. 

0" 

10" 

20" 

30" 

40" 

50" 

0" 

10" 

20"  1  30" 

40" 

50" 

c 

io.3ji8ie 

1872 

1925 

1979 

2o32 

2o85 

59 

0 

io.33i327 

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1437  1492 

1 547 

1 602 

59 

I 

2139 

2192 

2246 

2299 

2353 

24o6 

58 

I 

i657 

1712 

1767 

1822 

1877 

1932 

58 

2 

2460 

25i3 

2567 

262c 

267/: 

2727 

57 

2 

1987 

2042 

2097 

2i53 

2208 

2263 

57 

3 

2781 

2834 

2888 

2941 

2995 

3o48 

5b 

3 

23i8 

2373 

2428 

2483 

2538 

2593 

56 

4 

3l02 

3i55 

3209 

3263 

33i6 

3370 

55 

4 

2648 

2703 

2758 

2813 

2868 

2924 

55 

5 

3423 

3477 

353o 

3584 

3637 

3691 

54 

5 

2979 

3o34 

3089 

3i44 

3199 

3254 

54 

6 

3745 

3798 

3852 

3905 

3959 

4oi3 

53 

6 

3309 

3364 

3420 

3475 

353o 

3585 

53 

7 

4o66 

4l20 

4173 

4227 

4281 

4334 

52 

7 

364o 

3695 

3751 

38o6 

386i 

3916 

52 

8 

4388 

4442 

4495 

4549 

46o3|4656 

5i 

8 

3971 

4026 

4082 

4137 

4192 

4247 

5i 

9 

4710 

4764 

4817 

4871 

4925 

4978 

5o 

9 

4302 

4358 

44i3 

4468 

4523 

4579 

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10 

10. 3i 5o32 

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5 1 39 

5193 

5247 

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49 

10 

10 . 334634 

4689 

4744 

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4855 

4910 

49 

II 

5354 

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5569 

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48 

1 1 

4965 

502I 

5076 

5i3i 

5i86 

5242 

48 

12 

5676 

5730 

5784 

5838 

5891 

5945 

47 

12 

5297 

5352 

5408 

5463 

55i8 

5574 

47 

i3 

5999 

6o53 

6 1 06 

6160 

6214 

6268 

46 

i3 

5629 

5684 

5740 

5795 

585o 

5906 

46 

i4 

6321 

6375 

6429 

6483 

6537 

6590 

45 

i4 

5961 

6016 

6072 

6127 

6182 

6238 

45 

i5 

6644 

6698 

6762 

6806 

6860 

6913 

44 

i5 

6293 

6349 

64o4 

6459 

65i5 

6570 

44 

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6967 

7021 

7075 

7129 

7183 

7236 

43 

16 

6625 

6681 

6736 

6792 

6847 

6903 

43 

17 

7290 

7344 

7398 

7452 

75o6 

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42 

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6958 

7oi3 

7069 

7124 

7180 

7235 

42 

i8 

7613 

7667 

7721 

7775 

7829 

7883 

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18 

7291 

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74o2 

7457 

75i3 

7568 

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19 

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10.318260 

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39 

20 

10. 337957 

8012 

8068 

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39 

21 

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38 

21 

8290 

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8568 

38 

22 

8908 

8962 

9016 

9070 

9124 

9178 

37 

22 

8623  8679 

8734 

8790 

8845 

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37 

23 

9232 

9286 

9340 

9394 

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9502 

36 

23 

8957  9012 

9068 

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9179 

9235 

36 

24 

9556 

9610 

9664 

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9826 

35 

24 

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28 

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0962 

1016 

1071 

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28 

0627 

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0738 

0794 

o85o 

0905 

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29 

1 1 79 

1233 

1287 

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1396 

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3o 

29 

0961 

1017 

1073 

1 129 

ii84 

1240 

3o 

3o 

io.32i5o4 

i558 

1612 

1666 

1721 

1775 

29 

3o 

10  .341296 

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i4o8 

i463 

i5i9 

1575 

29 

3i 

1829 

i883 

1938 

1992 

2o46 

2100 

28 

3i 

i63i 

1687 

1742 

1798 

i854 

1910 

28 

32 

2i54 

2209 

2263 

23i7 

2371 

2426 

27 

32 

1966 

2022 

2078 

2i33 

2189 

2245 

27 

33 

2480 

2534 

2588 

2643 

2697 

2751 

26 

33 

23oi 

2357 

24i3 

2469 

2525 

258i 

26 

34 

2806 

2860 

2914 

2968 

3o23 

3077 

25 

34 

2636 

2692 

2748 

2804 

2860 

2916 

25 

35 

3i3i 

3 1 86 

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3294 

3349 

34o3 

24 

35 

2972 

3028 

3o84 

3i4o 

3196 

3252 

24 

36 

3457 

35i2 

3566 

3620 

3675 

3729 

23 

36 

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3420 

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3588 

23 

37 

3783 

3838 

3892 

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22 

37 

3644 

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38 

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4i64 

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4273 

4327 

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2  1 

38 

3980 

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4204 

4260 

21 

39 

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4491 

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4654 

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20 

39 

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4428 

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20 

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10.324763 

4817 

4872 

4926 

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19 

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4821 

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5ioi 

5i57 

52i3 

5269 

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42 

5416 

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5525 

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5634 

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17 

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5438 

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17 

43 

5743 

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16 

44 

6071 

6125 

6180 

6234 

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6000 

6o56 

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6168 

6224 

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45 

6398 

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65o7 

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6616 

6671 

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45 

6337 

6393 

6449 

65o6 

6562 

6618 

i4 

46 

6726 

6780 

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6889 

6944 

6999 

i3 

46 

6674 

6731 

6787 

6843 

6899 

6956 

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47 

7053 

7108 

7162 

7217 

7272 

7326 

12 

47 

7012 

7068 

7125 

7181 

7237 

7293 

12 

48 

7381 

7436 

7490 

7545 

7600 

7654 

1 1 

48 

7350 

7406 

7462 

7519 

7575 

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II 

49 

7709 

7764 

7818 

7873 

7928 

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10 

49 

7688 

7744 

7800 

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10.328037 

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9 

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10.348026 

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9 

5i 

8365 

8420 

8475 

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8584 

8639 

8 

5i 

8364 

8421 

8477 

8533 

8590 

8646 

8 

52 

8694 

8749 

88o3 

8858 

8913 

8968 

7 

52 

8703 

8759 

88i5 

8872 

8928 

8985 

7 

53 

9023 

9077 

9i32 

9187 

9242 

9297 

6 

53 

9041 

9098 

9154 

921  I 

9267 

9324 

6 

54 

9351 

9406 

9461 

9516 

9571 

9625 

5 

54 

9380 

9437 

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9550 

9606 

9663 

5 

55 

9680 

9735 

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9845 

9900 

9955 

4 

55 

9719 

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9832 

9889 

9945 

.  .  .2 

4 

56 

10.330009 

0064 

01 19 

0174 

0229 

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3 

56 

io.35oo58 

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0171 

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3 

57 

0339 

0394 

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2 

57 

0398 

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0567 

0624 

0681 

2 

58 

0668 

0723 

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0888 

0943 

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58 

0737 

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o85o 

0907 

0964 

1020 

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59 

0998 

io53 

1 108 

ii63 

1218 

1272 

0 

59 

1077 

1 1 34 

T 190 

1247 

i3o4 

i36o 

0 

60" 

50" 

40" 

30" 

20" 

10" 

a 

i 

60" 

50" 

40" 

30"   20"  1 

10" 

.9 

Go-tangent  of  25  Degrees. 

Co-tangent  of  24  Degrees. 

P. 

p„,  i  1"  2"  3"  4"  5"  6"  7"  8"  9" 
^^"15  11  16  23  27  33  38  43  49 

P. 

p  ,  j  1"  2"  3"  4"  5"  6"  7"  8"  9" 
''"I  6  11  17  22  28  33  39  45  50 

90 


LoGARiTUMic   Sines. 


a 


Sine  of  6C  Dejjfrees. 


o 
I 

2 

3 
4 
5 
6 

7 

8 

9 

10 

II 

12 

i3 

i4 
i5 
i6 

17 
i8 

'9 

20 
21 
22 
23 

24 
25 

26 
27 

28 
29 

3o 
3i 

32 

33 

34 
35 
36 

37 
38 
39 
4o 
4i 
42 
43 
44 
45 
46 

47 

48 

49 
5o 

5i 

52 

53 

54 
55 
56 

57 
58 

59 


.960730 

0786 
o843 
0899 
0955 

lOI  I 

1067 

1  123 

1179 

12  35 

.9G1290 

1 346 

l402 

i458 
i5i3 
1 569 
1624 
1680 
1735 
1791 
.961846 
1902 
1957 
2012 
2067 

2  123 
2178 
2233 

2288 

2343 

.962398 

2453 

2  5  08 

2562 

2617 

2672 

2727 

2781 

2836 

2890 

.962945 

2999 

3o54 
3io8 
3i63 
3217 
3271 
3325 
3379 
3434 
1.963488 
3542 
3596 
365o 
3704 
3757 
38 1 1 
3865 
3919 
3972 


10" 


0740 
0796 
o852 
0908 
0964 
1020 
1076 

Il32 

II88 
1244 

i3oo 
i356 
i4ii 
1467 
i523 
1578 
i634 
1689 
1745 
1800 
i856 
1911 
1966 
2021 
2077 

2 1  32 

2187 
2242 
2297 

2352 

2407 
2462 
25i7 
2572 
2626 
2681 
2736 
2790 
845 
2899 
2954 
3oo8 
3o63 
3ii7 
3172 
3226 
3280 
3334 
3388 
3443 
3497 
355i 
36o5 
3659 
3713 
3766 
3820 
3874 
3928 
3981 


20"   30"   40"  I  50" 


60" 


0749 
o8o5 
086 
0917 
0973 
o3o 
086 
i4i 
197 
253 
309 
365 
421 
476 
532 
587 
643 
698 
754 
809 
865 
920 
975 

203l 

2086 

2l4l 
2196 
225l 

23o6 

236i 

24i6 

2471 

2526 

258i 

2635 

2690 

2745 

2799 

2854 

2909 

2963 

3oi8 

3072 

3126 

3i8i 

3235 

3289 

3343 

3398 

3452 

35o6 

356o 

36i4 

3668 

3722 

3775 

3829 

3883 

3937 

3990 


50" 


0753 

o8i4 
0871 
0927 
0983 
1039 
1095 
ii5i 
1207 
1263 
i3i8 
1374 
i43o 
i485 

i54i 
1597 
i652 
1708 
1763 
1819 
1874 
1929 
1985 

2o4o 
2095 
2l5o 
2205 
2260 

23i5 
2370 
2425 

2480 

2535 

2590 

2645 

2699 

2754 

2809 

2863 

2918 

2972 

3027 

3o8i 

3x35 

3190 

3244 

3298 

3352 

3407 

3461 

35 1 5 

3569 

3623 

3677 

3730 

3784 

3838 

3892 

3946 

3999 


40" 


0768 

0824 

0880 

0936 

0992 

o48 

io4 

1 60 

216 

272 

328 

3^3 

439 

495 

55o 

606 

661 

717 

772 

828 

883 

939 

994 

2049 

2io4 

2i59 

22l4 
2269 
2325 

2379 

2434 
2489 

2544 
2599 
2  654 
2708 
2763 
2818 
2872 
2927 
2981 
3o36 
3090 

3i44 
3199 
3253 
3307 
336i 
3416 
3470 
3524 
3578 
3632 
3686 
3739 
3793 

3847 
3901 
3955 
4oo8 


.30" 


0777 
o833 
0889 
0945 
1002 
io58 
iii3 
1169 

1225 

I28I 

i337 
1393 

1 448 
i5o4 
i56o 
i6i5 
1671 
1726 
1782 
1837 
1892 
1948 

2003 

2o58 
21 13 
2169 

2224 
2279 
2334 
2389 
2444 
2498 
2553 
2608 
2663 
717 
2772 
2827 
2881 
2936 
2990 
3  045 
3099 
3i53 
3208 
3262 
33i6 
3370 
3425 

3479 
3533 

3587 

364 1 

3695 

3748 

38o2 

3856 

3910 

3963 

4017 


59 

58 

57 
56 

55 

54 
53 

52 

5i 
5o 

49 

48 

47 
46 
45 
44 
43 
42 
4i 
4o 
39 
38 

37 
36 
35 
34 
33 

32 

3i 
3o 


Sine  of  67  Degrees. 


10" 


20" 


29 

28 
27 
26 

25 

24 

23 
22 
21 
20 

■9 

18 

17 
16 

i5 
i4 
i3 
12 
1 1 
10 

9 

8 

7 
6 
5 


10" 


4 
5 
6 

7 
8 

9 
10 

1 1 
12 
i3 
i4 
i5 
16 

17 
18 

19 
20 

21 

22 

23 

24 
25 

26 

27 
28 
29 

3o 
3i 

32 

33 
34 
35 
36 

37 
38 

39 
40 

4i 
42 
43 
44 
45 
46 

47 
48 

49 
5o 
5i 

52 

53 

54 
55 
56 

57 
58 
59 


,  964o26'4o35 

4080:4089 
4i334i42 
4187I4196 
4240J4249 
4294i43o3 
434714356 
44oo'44o9 
44544463 
4507  45i6 

.964560  4569 
46i3|4622 
4666|4675 
4720  4728 
4773:4781 
48264834 
4879'4887 
4931I4940 
4984I4993 
5o37  5o46 

.965090 


20" 


5099 

5i5] 
52o4 
5257 
5309 
5362 
54i4 
5467 
5519 
5572 


Co-sine  of  23  Degrees. 


5i43 
5195 
5248 
53oi 
5353 
5406 
5458 
55ii 
5563 

.965615  5624 
5668i5676 
5720:5729 
5772  5781 
5824j5833 
5876J5885 
5929I5937 
598115989 
6o33,6o4i 
6085,6093 

.966i36|6i45 
6188J6197 
6240  6249 
6292  63oi 
6344J6352 
6395,6404 
6447|6456 
6499;65o7 
655oj6559 
66o2j66io 

1.966653,6662 
67o5|67i3 
6756,6765 
6808:6816 
68596867 
6910  6919 


6961 
7013 
7064 
71 15 


6970 
7021 
7072 
7123 


60" 


4o44 

4098 

4i5i 

42o5 

4258 

43ii 

4365 

44x8 

4471 

4525 

4578 

463i 

4684 

4737 

4790 

4843 

4896 

4949 

5oo2 

5o55 

5i07 

5 1 60 

52i3 

5266 

53i8 

5371 

5423 

5476 

5528 

558o 

5633 

5685 

5737 

5790 

5842 

5894 

5946 

5998 

6o5o 

6102 

6i54 

6206 

6257 

63o9 

636i 

64i3 

6464 

65i6 

6567 

6619 

6670 

6722 

6773 

6825 

6876 

6927 

6978 

7o3o 

7081 

7i32 


4o53  4062 
4io6  4ii5 


30" 


40' 


50' 


50" 


4i6o 

4214 
4267 
4320 
4374 
4427 
4480 
4534 
4587 
464o 
4693 
4746 

4799 
4852 

4905 
4958 
5oi  I 
5o64 
5ii6 
5169 

5222 
5274 
5327 
5379 

5432 

5484 

5537 

5589 

5642 

5694 

5746 

5798 

585o 

5902 

5955 

6007 

6059 

61 II 

6162 

6214 

6266 

63i8 

6370 

6421 

6473 

6525 

6576 

6628 

6679 

6730 

6782 

6833 

6884 

6936 

6987 

7o38 

7089 

7i4o 


4169 
4222 
4276 
4329 


40" 


43b^ 
4436 
4489 
4542 
4596 

4649 
4702 

4755 
4808 
486i| 
4914 
4967 

5o20 

5072 

5i25 

5178 

523o 

5283 

5336 

5388 

5441 

5493 

5546 

5598 

565o 

5702 

5755 

58o7 

5859 

5911 

5963 

6oi5 

6067 

61 19 

6171 

6223 

6275 

6326 

6378 

643o 

6482 

6533 

6585 

6636! 

6688 

6739 

6790 

6842 

6893 

6944 

6995 

7047 
7098 

7149 


4071 

4124 

4178 
423i 
4285 
4338 
4392 
4445 
4498 


30" 


455i 
46o4 
4658 
4711 
4764 
4817 
4870 
4923 

I975 
5o28 
5o8i 
5i34 
5187 
5239 
5292 

5344 
5397 

5449 
55o2 

5554 

5607 

5659 

571 1 

5763 

58i6 

5868 

5920 

5972 

6024 

6076 

6128 

6180 

6232 

6283 

6335 

6387 

6438 

6490 

i6542 

6593 

6645 

6696 

6748 

6799 

685o 

6902 

6953 

7004 

7055 

7106 

7157 


59 

58 

57 
56 

55 
54 
53 

52 

5i 
5o 

49 
48 

47 
46 

45 
44 
43 
42 
4i 
4o 

39 

38 

37 
36 
35 
34 
33 

32 

3i 
3o 
29 
28 
27 
26 

25 

24 

23 
22 
21 
20 

'9 
18 

17 
16 

i5 
i4 
i3 
12 
1 1 
10 


20" 


9 

8 

7 
6 

5 
4 
3 
2 
I 
o 


10" 


Co-sine  of  22  Degrees. 


c 


p.  Part 


il" 

"/  1 


:3" 
3 


4" 
4 


5" 
5 


6" 


8" 

7 


9" 

8 


(  1" 
P.  Part  j  J 


3" 
3 


4" 
3 


6" 
5 


8"  9" 
7   8 


Logarithmic   Tangents. 


91 


Tangent  of  66  Degrees. 

- 

a 

Tangent  of  67  Degrees. 

0" 

10" 

20" 

30" 

40" 

50" 

0" 

10" 

20" 

30" 

40" 

50" 

0 

io.35i4i7 

1474 

i53o 

i587 

1 644 

1700 

59 

0 

10.372148 

2207 

2265 

232i^ 

2382 

2441 

59 

I 

1757 

i8i4 

1870 

1927 

1984 

2o4o 

58 

1 

2499 

2558 

2617 

2675 

2734 

2792 

58 

2 

2097 

2i54 

221 1 

2267 

2324 

238i 

57 

2 

285i 

2910 

2968 

3027 

3o85 

3i44 

57 

3 

2438 

2494 

255i 

2608 

2665 

2721 

56 

3 

32o3 

3261 

3320 

3379 

3437 

3496 

56 

4 

2778 

2835 

2892 

2949 

3oo5 

3o62 

55 

4 

3555 

36i3 

3672 

3731 

3789 

3848 

55 

5 

3i  19 

3176 

32  33 

3290 

3346 

34o3 

54 

5 

3907 

3965 

4024 

4o&3 

4i42 

4200 

54 

6 

3460 

35i7 

3574 

363i 

3687 

3744 

53 

6 

4259 

43i8 

4377 

4435 

4494 

4553 

53 

7 

38oi 

3858 

3915 

3972 

4029 

4o86 

52 

7 

46i2 

4670 

4729 

4788 

4847 

4906 

52 

8 

4r43 

4199 

4256 

43i3 

4370 

4427 

5i 

8 

4964 

5o23 

5082 

5i4i 

5200 

5258 

5i 

9 

4484 

4541 

4598 

4655 

4712 

4769 

5o 

9 

5317 

5376 

5435 

5494 

5553 

56i2 

5o 

lO 

10.354826 

4883 

4940 

4997 

5o54 

5iii 

49 

10 

10.375670 

5729 

5788 

5847 

5906 

5965 

49 

II 

5i68 

5225 

5282 

5339 

5396 

5453 

48 

II 

6024 

6o83 

6142 

6200 

6259 

63 18 

48 

12 

55io 

5567 

5624 

568i 

5738 

5795 

47 

12 

6377 

6436 

6495 

6554 

66i3 

6672 

47 

i3 

5852 

5909 

5966 

6o23 

6080 

613746 

i3 

6731 

6790 

6849 

6908 

6967 

7026 

46 

i4 

6194 

625i 

6309 

6366 

6423 

648o  45 

i4 

7085 

7144 

7203 

7262 

7321 

7380 

45 

i5 

6537 

6594 

665i 

6708 

6765 

6823 

44 

i5 

7439 

7498 

7557 

7616 

7675 

7734 

44 

i6 

6880 

6937 

6994 

7o5i 

7108 

7166 

43 

16 

7793 

7853 

7912 

7971 

8o3o 

8089 

43 

17 

7223 

7280 

7337 

7394 

745i 

7509 

42 

17 

8i48 

8207 

8266 

8325 

8384 

8444 

42 

i8 

7566 

7623 

7680 

7737 

7795 

7852 

4i 

18 

85o3 

8562 

8621 

8680 

8739 

8799 

4i 

19 

7909 

7966 

8024 

8081 

8i38 

8195 

40 

19 

8858 

8917 

8976 

9035 

9094 

9154 

4o 

20 

10. 358253 

83io 

8367 

8425 

8482 

8539 

39 

20 

10.379213 

9272 

9331 

9390 

945o 

9509 

39 

21 

8596 

8654 

8711 

8768 

8826 

8883 

38 

21 

9568 

9627 

9687 

9746 

9805 

9864 

38 

22 

8940 

8998 

9055 

9112 

9170 

9227 

37 

22 

9924 

9983 

.  .42 

.  102 

.161 

.220 

37 

23 

9284 

9342 

9399 

9456 

95i4 

9571 

36 

23 

10.380280 

0339 

0398 

0457 

o5i7 

0576 

36 

24 

9629 

9686 

9743 

9801 

9858 

9916 

35 

24 

o636 

0695 

0754 

o8i4 

0873 

0932 

35 

25 

9973 

..3i 

..88 

.145 

.203 

.260 

34 

25 

0992 

io5i 

I  I  ID 

1 1 70 

1229 

1289 

34 

26 

io.36o3i8 

0375 

0433 

0490 

o548 

o6o5 

33 

26 

1 348 

1407 

1467 

i526 

i586 

1645 

33 

27 

o663 

0720 

0778 

o835 

0893 

0950 

32 

27 

1705 

1764 

1824 

i883 

1943 

2002 

32 

28 

1008 

io65 

II23 

1180 

1238 

1295 

3i 

28 

2061 

2121 

2180 

2240 

2299 

2359 

3i 

29 

i353 

i4io 

i468 

i525 

i583 

i64i 

3o 

29 

2418 

2478 

2538 

2597 

2657 

2716 

3o 

3o 

10.361698 

1756 

i8i3 

1871 

1928 

1986 

29 

3o 

10.382776 

2835 

2895 

2954 

3oi4 

3074 

29 

3i 

2o44 

2101 

2159 

2217 

2274 

2332 

28 

3i 

3i33 

3193 

3252 

33i2 

3372 

343i 

28 

32 

2389 

2447 

25o5 

2562 

2620 

2678 

27 

32 

3491 

355o 

36io 

3670 

3729 

3789 

27 

33 

2735 

2793 

285i 

2908 

2966 

3o24 

26 

33 

3849 

3908 

3968 

4028 

4087 

4i47 

26 

34 

3o8i 

3i39 

3197 

3255 

33i2 

3370 

25 

34 

4207 

4266 

4326 

4386 

4445 

45o5 

25 

35 

3428 

3486 

3543 

36oi 

3659 

3717 

24 

35 

4565 

4625 

4684 

4744 

48o4 

4864 

24 

36 

3774 

3832 

3890 

3948 

4oo5 

4o63 

23 

36 

4923 

4983 

5o43 

5io3 

5i62 

5222 

23 

37 

4l2I 

4179 

4237 

4294 

4352 

44io 

22 

37 

5282 

5342 

5402 

5461 

5521 

558i 

22 

38 

4468 

4526 

4584 

464i 

4699 

4757 

21 

38 

564 1 

5701 

5761 

5820 

588o 

5940 

21 

39 

48i5 

4873 

4931 

4989 

5o46 

5io4 

20 

39 

6000 

6060 

6120 

6180 

6240 

6299 

20 

4o 

io.365i62 

5220 

5278 

5336 

5394 

5452 

19 

40 

10.386359 

6419 

6479 

6539 

6599 

6659 

19 

4i 

55io 

5568 

5626 

5684 

5741 

5799 

18 

4i 

6719 

6779 

6839 

6899 

6959 

7019 

18 

42 

5857 

5915 

5973 

6o3i 

6089 

6147 

17 

42 

7079 

7139 

7199 

7259 

7319 

7379 

17 

43 

6205 

6263 

6321 

6379 

6437 

6495 

16 

43 

7439 

7499 

7559 

7619 

7679 

7739 

16 

44 

6553 

6611 

6669 

6727 

6785 

6843  i5| 

44 

7799 

7859 

7919 

7979 

8039 

8099 

i5 

45 

6901 

6960 

7018 

7076 

7134 

7192 

i4 

45 

8159 

8219 

8279 

8339 

8399 

846o 

i4 

46 

725o 

7308 

7366 

7424 

7482 

7540 

i3 

46 

8520 

858o 

864o 

8700 

8760 

8820 

i3 

47 

7598 

7657 

77i5 

7773 

783i 

7889 

12 

47 

8880 

8941 

9001 

9061 

9121 

9181 

12 

48 

7947 

8oo5 

8064 

8122 

8180 

8238 

II 

48 

9241 

9302 

9362 

9422 

9482 

9542 

II 

49 

8296 

8354 

84i3 

8471 

8529 

8587 

10 

49 

9603 

9663 

9723 

9783 

9844 

9904 

10 

5o 

10.368645 

8704 

8762 

8820 

8878 

8937 

9 

5o 

10.389964 

..24 

..85 

.145 

.205 

.265 

9 

5i 

8995 

9053 

91 1 1 

9170 

9228 

9286 

8 

5i 

10.390326 

o386 

o446 

o5o7 

0567 

0627 

8 

52 

9344 

94o3 

9461 

9519 

9578 

9636 

7 

52 

0688 

0748 

0808 

0869 

0929 

0989 

7 

53 

9694 

9753 

98 1 1 

9869 

9927 

9986 

6 

53 

io5o 

1 1 10 

1 170 

I23l 

1291 

i352 

6 

54 

10.370044 

oio3 

0161 

0219 

0278 

o336 

5 

54 

l4l2 

1472 

i533 

1593 

1 654 

1714 

5 

55 

0394 

0453 

o5i  I 

0569 

0628 

0686 

4 

55 

1775 

i835 

1895 

1956 

2016 

2077 

4 

56 

0745 

o8o3 

0862 

0920 

0978 

io37 

3 

56 

2137 

2198 

2258 

23i9 

2379 

2440 

3 

57 

1095 

ii54 

1212 

1271 

i329 

1 388 

2 

57 

25oo 

256i 

2621 

2682 

2742 

2803 

2 

58 

1 446 

i5o4 

i563 

1621 

1680 

1738 

I 

58 

2863 

2924 

2985 

3o45 

3 1 06 

3i66 

I 

59 

1797 

i855 

1914 

1972 

2o3i 

2090 

0 

59 

3227 

3287 

3348 

3409 

3469 

353o 

0 

60" 

50" 

40" 

30" 

20" 

10" 

60" 

50" 

40" 

30" 

20" 

10" 

a 

Co-tangent  of  23  Degrees. 

Co-tangent  of  22  Degrees. 

P. 

„  J  1"  2"  3"  4"  5"  6"  7"  8"  9" 
^""^^U    12  17  23  29  35  40  46  52 

p  p„,  j  1"  2"  3"  4"  5"  C"  7"  8"  9" 
r.  faring  12  18  24  30  36  43  48  54 

92 


LOGAKITHMIC    SiNES. 


d 

ii 

Sine  of  68  Degrees. 

59 

58 
57 

.5 

Sine  of  69  Degrees. 

0" 

10" 

20" 

7183 
7234 
7285 

30" 

40"  1  50" 

0" 

10" 

20" 

30"  1  40" 

50" 

o 

I 

2 

9.967166 
7217 
726S 
7319 
7370 
7421 

7471 
7522 
7573 
7624 
9.967674 
7725 
7775 

7174 
7225 

7276 
7327 
7378 
7429 
7480 

7191 
7242 
7293 

7200 

725i 

7302 

7208 
7259 
7310 

0 

I 

2 

9.970152 
0200 
0249 

3l60  < 

D208  ( 
3257  < 

3i68 

D2l6 
3265 

0176 
0224 
0273 

oi84 
0233 
0281 

3192 

0241 
0289 

59 

58 
57 

3 

4 
5 
6 

7336 
7387 

7437 
7488 

7344 
7395 

7446 
7497 

7353 

74o4 
7454 
75o5 

7361 

7412 

7463 
75i4 

56 
55 
54 
53 

3 

4 
5 
6 

0297 
o345 
0394 
0442 

33o5 
d353 

d402 

d45o 

33x3 
336i 
d4io 

3458 

032I 

0370 
o4i8 
o466 

0329 
0378 
0426 

0474 

0337 
o386 
0434 
0482 

56 
55 

54 
53 

7 
8 

7531 

7539 

7547 

7556 

7564 

52 

7 

0490 

0498 

o5o6 

o5i4 

o522 

o53o 

52 

7581 

7590 

7598 

7607 

7615 

5i 

8 

o538 

o546 

o554 

o562 

0570 

0578 

5i 

9 

10 

7632 

7640 

7649 

7657 

7666 

5o 

9 

o586 

0594 

o6o3 

0611 

0619 

0627 

5o 

7683 

7691 

7699 

7708 

7716 

49 

10 

9 . 970635 

0643 

o65i 

0659 

0667 

0675 

49 

1 1 

7733 

7742 

7750 

7758 

7767 

48 

II 

o683 

0691 

0699 

0707 

0715 

0723 

48 

12 

7784 

7792 

7801 

7809 

7817 

47 

12 

0731 

0739 

0747 

0755 

0763 

0771 

47 

i3 

7826 

7834 

7843 

785i 

7859 

7868 

46 

i3 

0779 

0787 

0795 

o8o3 

08  II 

0819 

46 

i4 

7876 

7885 

7893 

7901 

7910 

7918 

45 

i4 

0827 

o835 

0842 

o85o 

o858 

0866 

45 

i5 

7027 

7935 

7943 

7952 

7960 

7969 

44 

i5 

0874 

0882 

0890 

0898 

0906 

0914 

44 

i6 

/  7   / 

7977 

7985 

7994 

8002 

8011 

8019 

43 

16 

0922 

0930 

0938 

0946 

0954 

0962 

43 

17 

8027 

8o36 

8044 

8o53 

8061 

8069 

42 

17 

0970 

0978 

0986 

0994 

1002 

lOIO 

42 

18 

8078 

8086 

8094 

8io3 

8111 

8120 

4i 

18 

1018 

1026 

io34 

io42 

io5o 

io58 

4i 

19 
20 

8128 

8i36 

8145 

8i53 

8161 

8170 

4o 

19 

1066 

1073 

1 08 1 

1089 

1097 

iio5 

4o 

9.968178 

8187 

8195 

8203 

8212 

8220 

39 

20 

9.971113 

1 121 

1 129 

II37 

ii45 

ii53 

39 

21 

8228 

8237 

8245 

8253 

8262 

8270 

38 

21 

1161 

1169 

1177 

ii85 

1193 

1200 

38 

22 

8278 

8287 

8295 

83o3 

83i2 

8320 

37 

22 

1208 

1216 

1224 

1232 

1240 

1248 

37 

23 

8329 

8337 

8345 

8354 

8362 

8370 

36 

23 

1256 

1264 

1272 

1280 

1288 

1296 

36 

24 

8379 

8387 

8395 

84o4 

84i2 

8420 

35 

24 

i3o3 

i3ii 

i3i9 

i327 

i335 

i343 

35 

25 

8429 

8437 

8445 

8454 

8462 

8470 

34 

25 

i35i 

1359 

i367 

1375 

i383 

1390 

34 

26 

8479 

8487 

8495 

85o3 

85i2 

8520 

33 

26 

1398 

i4o6 

i4i4 

1422 

i43o 

i438 

33 

27 

8528 

8537 

8545 

8553 

8562 

8570 

32 

27 

1 446 

1454 

1462 

1469 

i477 

i485 

32 

28 

8578 

8587 

8595 

86o3 

8612 

8620 

3i 

28 

1493 

i5oi 

i5o9 

i5i7 

i525 

i532 

3i 

29 

8628 

8636 

8645 

8653 

8661 

8670 

3o 

29 

i54o 

1 548 

i556 

1 564 

1572 

i58o 

3o 

3o 

9.968678 

86868694 
87368744 

8703 

8711 

8719 

29 

3o 

9.971588 

1595 

i6o3 

161 1 

1619 

1627 

29 

3i 

8728 

8752 

8761 

8769 

28 

3i 

i635 

1643 

i65i 

i658 

1666 

1674 

28 

32 

8777 

87868794 
8835  8844 

8802 

8810 

8819 

27 

32 

1682 

1690 

1698 

1706 

1713 

1721 

27 

33 

8827 

8852 

8860 

8868 

26 

33 

1729 

1737 

1745 

1753 

1761 

1768 

26 

34 

8877 

8885 

88g3 

8901 

8910 

8918 

25 

34 

1776 

1784 

1792 

1800 

1808 

i8i5 

25 

35 

8926 

8934  8943 

8951 

8959 

8967 

24 

35 

1823 

i83i 

1839 

1847 

i855 

1862 

24 

36 

8976 

89848992 

9000 

9009 

9017 

23 

36 

1870 

1878 

1886 

1894 

1902 

1909 

23 

37 

9025 

9033  go42 

9o5o 

9o58 

9066 

22 

37 

1917 

1925 

1933 

1941 

1949 

1956 

22 

38 

9075 

9083 

9091 

9099 

9108 

9116 

21 

38 

1964 

1972 

1980 

1988 

1995 

2003 

21 

39 

9124 

9i32 

9141 

9149 

9157 

9165 

20 

39 

2011 

2019 

2027 

2o34 

2042 

2o5o 

2  0 

4o 

9.969173 

9182 

9190 

9198 

9206 

92t5 

19 

4o 

9.972058 

2066 

2073 

2081 

2089 

2097 

19 

4i 

9223 

923i 

9239 

9247 

9256 

9264 

18 

4i 

2io5 

21 12 

2120 

2128 

2i36 

2i44 

18 

42 

9272 

9280 

9288 

9297 

93o5 

93i3 

17 

42 

2l5l 

2159 

2167 

2175 

2i83 

2190 

17 

43 

9821 

9329 

9338 

9346 

9354 

9362 

16 

43 

2198 

2206 

2214 

2221 

2229 

2237 

16 

44 

9370 

9379 

9387 
9436 

9395 

94o3 

941 1 

i5 

44 

2245 

2253 

2260 

2268 

2276 

2284 

i5 

45 

9420 

9428 

9444 

9452 

9461 

i4 

45 

2291 

2299 

23o7 

23i5 

2322 

233o 

i4 

46 

9469 

9477 

,9485 

9493 

9501 

9510 

i3 

46 

2338 

2346 

2354 

236i 

2369 

2377 

i3 

47 

9518 

9526 

9534 

9542 

9550 

9559 

12 

47 

2385 

2392 

2400 

2408 

2416 

2423 

12 

48 

9567 

9575 

9583 

9591 

9599 

9608 

II 

48 

243i 

2439 

2447 

2454 

2462 

2470 

II 

49 

9616 

9624 

19632 

9640 

9648 

9657 

10 

49 

2478 

2485 

2493 

25oi 

25o8 

25i6 

10 

5o 

9.969665 

9673 

9681 

9689 

9697 

97o5 

9 

5o 

9.972524 

2532 

2539 

2547 

2555 

2563 

9 

5i 

97 '4 

9722 

9730 

9738 

9746 

9754 

8 

5i 

2570 

2578 

2586 

2593 

2601 

2609 

8 

52 

9762 

9771 

9779 

9787 

9795 

9803 

7 

52 

2617 

2624 

2632 

2640 

2648 

2655 

7 

53 

981 1 

98.9 

9828 

9836 

9844 

9852 

6 

53 

2663 

2671 

2678 

2686 

2694 

2701 

6 

54 

9860 

986S 

9876 

9884 

9893 

9901 

5 

54 

2709 

2717 

2725 

2732 

2740 

2748 

5 

55 

9909 

99''/ 

992' 

993: 

(  9941 

9949 

4 

55 

2755 

2763 

2771 

2778 

2786 

2794 

4 

56 

9957 

9966 

997Z 

1998s 

.999c 

9998 

3 

56 

2802 

2809 

2817 

2825 

2832 

2840 

3 

57 

9.97000C 

00 1 Z 

.  002: 

!  oo3c 

)  oo3S 

0047 

2 

57 

2848 

2855 

2863 

2871 

2878 

2886 

2 

58 

oo5J 

006' 

i  0071 

007c 

^008;; 

0095 

I 

5S 

2894 

2901 

2909 

2917 

292/ 

2932 

I 

59 

oio2 

OIIIJOIIC 

)OI2- 

J  oi3f 

)  014/ 

0 

5^ 

1    2940 

2947 

2955 
40" 

2962 

297c 

297S 

0 

60" 

50"  i  40" 

30" 

20" 

10" 

_   fl 

60" 

50" 

30" 

20" 

10" 

-  d 

Co-sine  of  21  Degrees, 

S 

Co-sine  of  20  Degrees, 

P  P,,^  i  1"  2"  3"  4"  5"  6"  7"  8"  9" 
r.iarc^j   23345   677 

„  p  ,  (  1"  2"  3"  4"  5"  6"  7"  8"  9" 
f.fart^^  22345667 

Logarithm  10 

Tangents. 

93 

i 

Tangent  of  68  Degrees. 

s 

Tangent  of  69  Degrees. 

59 

0"    I  10"  1  20" 

30" 

40" 

50" 

0" 

10" 

20" 

30" 

jp" 

50" 
6137 

0 

10.393590 

365i 

3712 

3772 

3833 

3894 

59 

0 

io.4i5823  5886 

5948 

601  I 

6074 

I 

3954 

4oi5 

4076 

4i36 

4197 

4258 

58 

I 

6200 

6263 

6326 

6389 

6452 

65i5 

58 

2 

43 1 8 

4379 

4440 

45oo 

456i 

4622 

57 

2 

6578I6641 

6704 

6767 

683o 

6893 

57 

3 

46S3  4743 

48o4 

4865]4926 

4986 

56 

3 

6956 

7020 

7083 

7146 

7209 

7272 

56 

4 

5o47 

D108 

5169 

5229 

3290 

535i 

55 

4 

7335 

7398 

7461 

7524 

7587 

765o 

55 

5 

5412 

5473 

5533 

5594 

5655 

5716 

54 

5 

7714 

7777 

7840 

7903 

7966 

8029 

54 

6 

5777 

5838 

5898 

5959 

6020 

6081 

53 

6 

8093 

8i56 

8219 

8282 

8345 

8409 

53 

7 

6142 

6203 

6264 

6325 

6385 

6446 

52 

7 

8472 

8535 

8598 

8661 

8725 

8788 

52 

8 

65o7 

6568 

6629 

6690 

6751 

6812 

5i 

8 

885i 

8914 

8978 

904 1 

9104 

9168 

5i 

9 

6873 

6934 

6995 

7o56 

7117 

7178 

5o 

9 

923i 

9294 

9358 

9421 

9484 

9547 

5o 

10 

10.397239 

7300 

7361 

7422 

7483 

7544 

49 

10 

10.419611 

9674 

9738 

9801 

9864 

9928 

49 

II 

7605 

7666 

7727 

7788 

7849 

7910 

48 

1 1 

9991 

..54 

.118 

.181 

.245 

.3o8 

48 

12 

7971 

8o32 

8093 

8i54 

8215 

8276 

47 

12 

10.420371 

0435 

0498 

o562 

0625 

0689 

47 

i3 

8337 

8399 

846o 

8521 

8582 

8643 

46 

i3 

0752 

0816 

0879 

0943 

1006 

1070 

46 

i4 

8704 

8765 

8826 

8888 

8949 

9010 

45 

i4 

ii33 

1197 

1260 

i324 

i387 

i45i 

45 

i5 

9071 

9i32 

9194 

9255 

9316 

9377 

44 

i5 

i5i4 

1578 

i64i 

1705 

1769 

i832 

44 

i6 

9438 

9300 

9561 

9622 

9683 

9744 

43 

16 

1896 

1959 

2023 

2086 

2i5o 

22l4 

43 

I? 

9806 

9867 

9928 

9989 

..5i 

.112 

42 

17 

2277 

234l 

24o5 

2468 

2532 

2596 

42 

i8 

10.400173 

0235 

0296 

0357 

0419 

o48o 

4i 

18 

2659 

2723 

2787 

285o 

2914 

2978 

4i 

19 

o54i 

0602 

0664 

0725 

0787 

o848 

4o 

19 

3o4i 

3io5 

3169 

3233 

3296 

336o 

4o 

20 

10.400909 

0971 

io32 

1093 

ii55 

I2l6 

39 

20 

10.423424 

3488 

355i 

36i5 

3679 

3743 

39 

21 

1278 

i339 

i4oo 

1462 

i523 

i585 

38 

21 

3807 

3870 

3934 

3998 

4062 

4126 

38 

22 

i646 

1707 

1769 

i83o 

1892 

1953 

37 

22 

4190 

4253 

4317 

438i 

4445 

4509 

37 

23 

20l5 

2076 

2i38 

2199 

2261 

2322 

36 

23 

4573 

4637 

4701 

4764 

4828 

4892 

36 

24 

2384 

2445 

25o7 

2568 

263o 

2691 

35 

24 

4956 

5020 

5o84 

5i48 

5212 

5276 

35 

25 

2753 

28i5 

2876 

2938 

2999 

3o6i 

34 

25 

5340 

54o4 

5468 

5532 

5596 

566o 

34 

26 

3l22 

3i84 

3246 

3307 

3369 

343o 

33 

26 

5724 

5788 

5852 

5916 

5980 

6o44 

33 

27 

3492 

3554 

36i5 

3677 

3739 

38oo 

32 

27 

6io8 

6172 

6236 

63oo 

6364 

6429 

32 

28 

3862 

3924 

3985 

4o47 

4109 

4170 

3i 

28 

6493 

6557 

6621 

6685 

6749 

68i3 

3i 

29 

4232 

42944356 

4417 

4479 

4541 

3o 

29 

6877 

6941 

7006 

7070 

7134 

7198 

3o 

3o 

io.4o46o2 

4664 

4726 

4788 

485o 

4911 

29 

3o 

10.427262 

7327 

7391 

7455 

7519 

7583 

29 

3i 

4973 

5o35 

5097 

5i58 

5220 

5282 

28 

3i 

7648 

7712 

7776 

7840 

7905 

7969 

28 

32 

5344 

5406 

5468 

5529 

5591 

5653 

27 

32 

8o33 

8097 

8162 

8226 

8290  8355 

27 

33 

5715 

5777 

5839 

5901 

5962 

6024 

26 

33 

8419 

8483 

8548 

8612 

86768741 

26 

34 

6086 

6i48 

6210 

6272 

6334 

6396 

25 

34 

88o5 

8869 

8934 

8998 

9062  9127 

25 

35 

6458 

6520 

6582 

6644 

6706 

6768 

24 

35 

9191 

9256 

9320 

9384 

9449 

95i3 

24 

36 

6829 

6891 

6953 

7oi5 

7077 

7139 

23 

36 

9578 

9642 

9707 

9771 

9836 

9900 

23 

37 

7201 

7263 

7326 

7388 

745o 

75i2 

22 

37 

9965 

..29 

..94 

.i58 

.223 

.287 

22 

38 

7574 

7636 

7698 

7760 

7822 

7884 

21 

38 

io.43o352 

o4i6 

o48i 

o545 

0610 

0674 

21 

39 

7946 

8008 

8070 

8i32 

8195 

8257 

20 

39 

0739 

o8o3 

0868 

0933 

0997 

1062 

20 

4o 

io.4o83i9 

838i 

8443 

85o5 

8567 

863o 

19 

4o 

10.431127 

1 191 

1256 

l320 

i385 

i45o 

19 

4i 

8692 

8754 

8816 

8878 

8940 

9003 

18 

41 

i5i4 

1579 

1 644 

1708 

1773 

i838 

18 

42 

9065 

9127 

9189 

9252 

93i4 

9376 

17 

42 

1902 

1967 

2032 

2097 

2161 

2226 

17 

43 

9438 

9501 

9563 

9625 

9687 

9750 

16 

43 

2291 

2356 

2420 

2485 

255o 

26i5 

16 

44 

9812 

9874 

9937 

9999 

..61 

.  123 

i5 

44 

2680 

2744 

2809 

2874 

2939 

3oo4 

i5 

45 

10.410186 

0248 

o3io 

0373 

0435 

0498 

i4 

45 

3o68 

3i33 

3198 

3263 

3328 

3393 

i4 

46 

o56o 

0622 

o685 

0747 

0809 

0872 

i3 

46 

3458 

3522 

3587 

3652 

3717 

3782 

i3 

47 

0934 

0997 

io59 

1 122 

1184 

1246 

12 

47 

3847 

3912 

3977 

4o42 

4107 

4172 

12 

48 

i3og 

1371 

1434 

1496 

i559 

I62I 

1 1 

48 

4237 

4302 

4367 

4432 

4497 

4562 

11 

49 

1684 

1746 

1809 

1871 

1934 

1996 

10 

49 

4627 

4692 

4757 

4822 

48874952 

10 

5o 

10.412059 

2121 

2184 

2246 

2309 

2371 

9 

5o 

10.435017 

5o82 

5i47 

5212 

5277  5342 

9 

5i 

2434 

2497 

2559 

2622 

2684 

2747 

8 

5i 

5407 

5473 

5538 

56o3 

56685733 

8 

52 

2810 

2872 

2935 

2997 

3o6o 

3i23 

7 

52 

5798 

5863 

5929 

5994 

6059  6124 

7 

53 

3i85 

3248 

33ii 

3373 

3436 

3499 

6 

53 

6189 

6254 

6320 

6385 

645o!65i5 

6 

54 

356i 

3624 

3687 

3749 

38i2 

3875 

5 

54 

658i 

6646 

671 1 

6776 

6842  6907 

5 

55 

3938 

4ooo 

4o63 

4126 

4189 

425l 

4 

55 

6972 

7037 

7103 

7168 

7233 

7299 

4 

56 

43i4 

4377 

4440 

45o2 

4565 

4628 

3 

56 

7364 

7429 

7495 

7560 

7625 

7691 

3 

57 

4691 

4754 

4817 

4879 

4942 

5oo5 

2 

57 

7756 

7822 

7887 

7952 

8018 

8o83 

2 

58 

5o68 

5i3i 

5194 

5256 

5319 

5382 

I 

58 

8149 

8214 

8279 

8345 

84io 

8476 

I 

59 

5445 

55o8 

5571 

5634 

5697 

5760 

0 

59 

854i 

8607 

8672 

8738 

88038869 

0 

60" 

50" 

40" 

30" 

20" 

10" 

i 

60" 

50" 

40"   30"  1 

20"  1  10" 

Co-tangent  of  21  Degrees. 

Co-tangent  of  20  Degrees. 

p  P,r^  i  1"  2"  3"  4"  5"  6"  7"  8"  9" 
'^■"^"'le  12  19  25  31  37  43  49  56 

„  p  ,,  (  1"  2"  3"  4"  5"  6"  7"  8"  9" 
P.Partjg  j3  jg  26  32  39  45  51  58 

94 


Logarithmic   Sines. 


a 

Sine  of  70  Degrees. 

- 

Sine  of  71  Degrees. 

0"    10" 

1  20" 

30"   40" 

50" 

0" 

10" 

20" 

30" 

40"  1  .50" 

c 

9.972986  2993  3ooi 

3009  3oi( 

)  3o2/ 

"5? 

0 

9.97567c 

)5677 

5685 

5692 

5699 

5706 

59 

I 

3o32  3o3c 

>3o4^ 

,  3o55  3062 

307c 

)58 

I 

5714 

5721 

5728 

5735 

5743 

5750 

58 

2 

3078  3o8f 

)  309S 

3ioi  3ioS 

3iie 

57 

2 

5757 

5764 

5771 

5779 

5786 

5793 

5? 

3 

3i2i!3i3i 

3i39 

3i4e 

3i54 

3i62 

56 

3 

58oo 

58o8 

58i5 

5822 

5829 

5837 

56 

A 

3i6( 

?3i77 

3i85 

3192 

3200 

3208 

55 

4 

5844 

585i 

5858 

5865 

5873 

588o 

55 

5 

32i! 

3  3223 

323o 

3238 

3246 

3253 

54 

5 

5887 

5894 

5901 

5909 

5916 

5923 

54 

6 

3-6 

[I326Q 

3276 

3284 

3291 

3299 

53 

6 

5930 

5938 

5945 

5952 

5959 

5966 

53 

7 

33o7!33i4 

3322 

333o 

3337 

3345 

52 

7 

5974 

5981 

5988 

5995 

6002 

6010 

52 

8 

33523360 

3368 

3375 

3383 

3390 

5i 

8 

60x7 

6024 

6o3x 

6o38 

6o46 

6o53 

5i 

9 

339813406 

34i3 

3421 

3428 

3436 

5o 

9 

6060 

6067 

6074 

6081 

6089 

6096 

5o 

10 

9.9734443451 

3459 

3466 

3474 

3482 

49 

xo 

9.976x03 

6x  xo 

6117 

6125 

6x32 

6x39 

49 

II 

3489I3497 

35o4 

35i2 

3519 

3527 

48 

1 1 

6i46 

6x53 

6x60 

6x68 

6x75 

6182 

48  , 

12 

3535|3542 

355o 

3557 

3565 

3572 

47 

X2 

6189 

6x96 

6203 

621 1 

6218 

6225 

47 

i3 

353o3588 

3595 

36o3 

36io 

36x8 

46 

i3 

6232 

6239 

6246 

6254 

6261 

6268 

46 

i4 

3625  3633 

364i 

3648 

3656 

3663 

45 

i4 

6275 

6282 

6289 

6296 

63o4 

63x1 

45 

i5 

3671  3678 

3686 

3694 

3701 

3709 

44 

i5 

63x8 

6325 

6332 

6339 

6347 

6354 

44 

i6 

3716I3724 

3731 

3739 

3746 

3754 

43 

16 

636i 

6368 

6375 

6382 

6389 

6396 

43 

I? 

3761  3769 

3777 

3784 

3792 

3799 

42 

17 

64o4 

64ii 

64x8 

6425 

6432 

6439 

42 

i8 

38o7i38i4 

3822 

3829 

3837 

3844 

4i 

18 

6446 

6454 

646x 

6468 

6475 

6482 

4i 

'9 

3852  3859 

3867 

3875 

3882 

3890 

4o 

19 

6489 

6496 

65o3 

65io 

65x8 

6525 

4o 

20 

9.973897I3905 

3912 

3920 

3927 

3935 

39 

20 

9.976532 

6539 

6546 

6553 

656o 

6567 

39 

21 

3942  3950 

3957 

3965 

3972 

3980 

38 

21 

6574 

6582 

6589 

6596 

66o3 

66x0 

38 

22 

3987  3995 

4002 

4oio 

4017 

4o25 

37 

22 

66x7 

6624 

663x 

6638 

6646 

6653 

37 

23 

4o32  4o4o 

4o47 

4o55 

4062 

4070 

36 

23 

6660 

6667 

6674 

668x 

6688 

6695 

36 

24 

4o77'4o85 

4092 

4 1 00 

4107 

4ii5 

35 

24 

6702 

6709 

6716 

6723 

6731 

6738 

35 

25 

4l22i4l3o 

4i37 

4r45 

4i52 

4x6o 

34 

25 

6745 

6752 

6759 

6766 

6773 

6780 

34 

26 

4167  4175 

4182 

4190 

4197 

42o5 

33 

26 

6787 

6794 

680X 

6808 

68i5 

6823 

33 

27 

42  I  2  4220 

4227 

4235 

4242 

425o 

32 

27 

683o 

6837 

6844 

685i 

6858 

6865 

32 

28 

4257  4264 

4272 

4279 

4287 

4294 

3i 

28 

6872 

6879 

6886 

6893 

6900 

6907 

3i 

29 

43o2  43og 

4317 

4324 

4332 

4339 

3o 

29 

6914 

6921 

6928 

6935 

6942 

6950 

3o 

3o 

9.974347:4354 

436i 

4369 

4376 

4384 

29 

3o 

9.976957 

6964 

697X 

6978 

6985 

6992 

29 

3i 

4391  4399 

44o6 

44i4 

4421 

4428 

28 

3i 

6999 

7006 

70x3 

7020 

7027 

7034 

28 

32 

4436 

4443 

445 1 

4458 

4466 

4473 

27 

32 

7041 

7048 

7o55 

7062 

7069 

7076 

27 

33 

448 1 

4488 

4495 

45o3 

45io 

45x8 

26 

33 

7083 

7090 

7097 

7104 

71 1 1 

71x8 

26 

34 

4525 

4533 

4540 

4547 

4555 

4562 

25 

34 

7125 

7x32 

7x39 

7146 

7x53 

7x60 

25 

35 

45704577 

4585 

4592 

4599 

4607 

24 

35 

7167 

7x74 

7x81 

7188 

7195 

7202 

24 

36 

46x4  4622 

4629 

4636 

4644 

465i 

23 

36 

7209 

72x6 

7223 

723o 

7237 

7244 

23 

37 

4659 

4666 

4674 

468 1 

4688 

4696 

22 

37 

7251 

7258 

7265 

7272 

7279 

7286 

22 

38 

4703 

4711 

4718 

4725 

4733 

4740 

21 

38 

7293 

7300 

7307 

73x4 

7321 

7328 

21 

39 

4748 

4755 

4762 

4770 

4777 

4784 

20 

39 

7335 

7342 

7349 

7356 

7363 

7370 

20 

4o 

9.974792 

4799 

4807 

48i4 

4821 

4829 

19 

4o 

9.977377 

7384 

739X 

7398 

74o5 

74x2 

19 

4i 

4S36 

4844 

485i 

4858 

4866 

4873 

18 

4i 

74x9 

7426 

7433 

7440 

7447 

7454 

18 

42 

483o 

4888 

4895 

4903 

4910 

4917 

17 

42 

746  X 

7468 

7475 

7482 

7489 

7496 

17 

43 

4925 

4932 

4939 

4947 

4954 

4961 

16 

43 

75o3 

75x0 

7517 

7524 

7530 

7537 

16 

44 

4969 

4976 

4984 

4991 

4998 

5oo6 

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44 

7544 

755i 

7558 

7565 

7572 

7579 

i5 

45 

5oi3 

5o20 

5o28 

5o35 

5o42 

5o5o 

i4 

45 

7586 

7593 

7600 

7607 

7614 

7621 

i4 

46 

5o57 

5o64 

5072 

5o79 

5o86 

5094 

i3 

46 

7628 

7635 

7642 

7648 

7655 

7662 

i3 

47 

5ioi 

5 1 08 

5ii6 

5i23 

5i3o 

5x38 

X2 

47 

7669 

7676 

7683 

7690 

7697 

7704 

12 

48 

5i45 

5i52 

5i6o 

5167 

5x74 

5x82 

IX 

48 

77XX 

77x8 

7725 

7732 

7739 

7745 

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49 

5189 

5196 

52o4 

52II 

52x8 

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49 

7752 

7759 

7766 

7773 

7780 

7787 

10 

5o 

r 

9.975233 

524o 

5248 

5255 

5262 

5270 

9 

5o 

9.977794 

780X 

7808 

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7821 

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9 

5i 

5277 

5284 

5292 

5299 

53o6 

53x3 

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5i 

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7849 

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7863 

7870 

8 

52 

r  0 

5321 

5328 

5335 

5343 

535o 

5357 

7 

52 

7877 

7884 

7890 

7897 

7904 

79XX 

7 

53 

5365 

5372 

5379 

5386 

5394 

54ox 

6 

53 

7918 

7925 

7932 

7939 

7946 

7952 

6 

54 

r  r 

54o8 

54t6 

5423 

543o 

5437 

5445 

5 

54 

7959 

7966 

7973 

7980 

7987 

7994 

5 

55 

5452 

5459 

5467 

5474 

5481 

5488 

4 

55 

8001 

8007 

8ox4 

8021 

8028 

8o35 

4 

56 

5496 

55o3 

55io 

55i8 

5525 

5532 

3 

56 

8042 

8o4q 

8o56 

8062 

8069 

8076 

3 

57 

5539 

5547 

5554 

556i 

5568 

5576 

2 

57 

8o83 

J 

8090 

8097 

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81x0 

8x17 

2 

58 

5583 

5590 

5598 

56o5 

56x2 

5619 

I 

58 

8124 

8i3x 

8i38 

8x45 

8i52 

8x58 

I 

59 

5627 

5634 

564: 

5648 

5656 

5663 

0 

59 

8x65 

8172 

8179 

8186 

8x93 

8x99 

0 

60" 

50" 

40" 

30" 

20" 

10" 

60" 

50" 

40"   30"   20" 

10" 

a 

Co-sine  of  19  Degrees. 

' 1 -2 ! 

Co-sine  of  18  Degrees. 

P.P 

„.  jl"  2"  3"  4"  5"  6"  7"  8"  c 
11  1   2  3  4  4  5  6  -; 

1" 

f 

PParfci  1"  2'  3"  4"  5"  6"  7"  8"  9" 
'^•^^"Nl  12  3  4  4  5  6  6 

Logarithmic 

Tangents. 

95 

.s 

Tangent  of  TO  Degrees. 

.9 

■ 

Tangent  of  71  Degrees. 

0" 

10" 

20" 

30" 

40" 

50" 

0" 

10" 

20" 

30" 
3233 

40" 
33o2 

50" 

o 

10.438934 

9000 

9065 

9i3i 

9196 

9262 

59 

0 

io.463o28 

3097 

3i65 

3370 

59 

I 

9327 

9393 

9458 

9524 

9590 

9655 

58 

I 

3439 

3507 

3576 

3644 

3713 

3781 

58 

2 

9721 

9786 

9852 

9918 

9983 

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57 

2 

385o 

3918 

3987 

4o55 

4124 

4192 

57 

3 

10.4401 i5 

0180 

0246 

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0377 

0443 

56 

3 

4261 

4329 

4398 

4466 

4535 

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56 

4 

o5o9 

0574 

o64o 

0706 

0771 

0837 

55 

4 

4672 

4741 

4809 

4878 

4947 

5oi5 

55 

5 

0903 

0969 

io34 

I  100 

1166 

1232 

54 

5 

5o84 

5i53 

522  1 

5290 

5359 

5427 

54 

6 

1297 

i363 

1429 

1495 

1 56 1 

1627 

53 

6 

5496 

5565 

5633 

5702 

5771 

584o 

53 

7 

1692 

1758 

1824 

1890 

1956 

2022 

52 

7 

5908 

5977 

6o46 

6ii5 

6i84 

6252 

52 

8 

2087 

2i53 

2219 

2285 

235i 

2417 

5i 

8 

6321 

6390 

6459 

6528 

6596 

6665 

5i 

9 

2483 

2549 

2615 

2681 

2747 

2813 

5o 

9 

6734 

68o3 

6872 

6941 

7010 

7079 

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lO 

10.442879 

2945 

3oii 

3077 

3i43 

3209 

49 

10 

10.467147 

7216 

7285 

7354 

742  3 

7492 

49 

II 

3275 

3341 

3407 

3473 

3539 

36o5 

48 

1 1 

7561 

7630 

7699 

7768 

7837 

7906 

48 

12 

3671 

3737 

38o3 

3869 

3935 

4ooi 

47 

12 

7975 

8044 

8ii3 

8182 

825i 

8320 

47 

i3 

4067 

4i33 

4200 

4266 

4332 

4398 

46 

i3 

8389 

8458 

8527 

8597 

8666 

8735 

46 

i4 

4464 

453o 

4596 

4663 

4729 

4795 

45 

i4 

8804 

8873 

8942 

901 1 

9080 

9i5o 

45 

i5 

486i 

4927 

4994 

5o6o 

5i26 

5192 

44 

i5 

9219 

9288 

9357 

9426 

9496 

9565 

44 

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5259 

5325 

5391 

5457 

5524 

5590 

43 

16 

9634 

9703 

9772 

9842 

9911 

9980 

43 

17 

5656 

5722 

5789 

5855 

5921 

5988 

42 

17 

10.470049 

01 19 

0188 

0257 

0327 

0896 

42 

i8 

6o54 

6120 

6187 

6253 

6320 

6386 

4i 

18 

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0743 

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65i9 

6585 

6652 

6718 

6784 

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1020 

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1 159 

1228 

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20 

10.446S5I 

6917 

6984 

7o5o 

7117 

7183 

39 

20 

10.471298 

i367 

1437 

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1576 

1645 

39 

21 

725o 

7316 

7383 

7449 

75i6 

7582 

38 

21 

1715 

1784 

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1923 

1993 

2062 

38 

22 

7649 

77i5 

7782 

7848 

7915 

7981 

37 

22 

2l32 

2201 

2271 

234o 

2410 

2480 

37 

2  3 

8o48 

81 1 5 

8181 

8248 

83i4 

838i 

36 

23 

2549 

2619 

2688 

2758 

2828 

2897 

36 

24 

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85i4 

858i 

8647 

8714 

8781 

35 

24 

2967 

3o37 

3 1 06 

3176 

3246 

33i5 

35 

25 

8847 

8914 

8981 

9048 

9114 

9181 

34 

25 

3385 

3455 

3524 

3594 

3664 

3734 

34 

26 

9248 

9314 

9381 

9448 

95i5 

9581 

33 

26 

38o3 

3873 

3943 

4oi3 

4082 

4i52 

33 

27 

9648 

9715 

9782 

9848 

99 1 5 

9982 

32 

27 

4222 

4292 

4362 

4432 

45oi 

4571 

32 

28 

10.450049 

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o3i6 

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3i 

28 

464i 

4711 

4781 

485i 

4921 

4991 

3i 

29 

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0717 

0784 

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29 

5o6o 

5i3o 

5200 

5270 

5340 

5410 

3o 

3o 

io.45o85i 

0918 

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1 1 19 

1186 

29 

3o 

10.475480 

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5620 

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5760 

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29 

3i 

1253 

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1387 

1454 

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28 

3i 

5900 

5970 

6o4o 

6110 

6180 

625o 

28 

32 

i655 

1722 

1789 

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1923 

1990 

27 

32 

6320 

6391 

646 1 

653i 

6601 

6671 

27 

33 

2057 

2124 

2191 

2258 

2325 

2392 

26 

33 

6741 

6811 

6881 

6952 

7022 

7092 

26 

34 

2460 

2527 

2594 

2661 

2728 

2795 

25 

34 

7162 

7232 

7302 

7373 

7443 

75i3 

25 

35 

2862 

2929 

2997 

3o64 

3i3i 

3198 

24 

35 

7583 

7654 

7724 

7794 

7864 

7935 

24 

36 

3265 

3333 

34oo 

3467 

3534 

36o2 

23 

36 

8oo5 

8075 

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8216 

8286 

8357 

23 

37 

3669 

3736 

38o3 

3871 

3938 

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22 

37 

8427 

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8568 

8638 

8708 

8779 

22 

38 

4072 

4i4o 

4207 

4274 

4342 

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21 

38 

8849 

8920 

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9061 

9i3i 

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21 

39 

4476 

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20 

39 

9272 

9342 

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9483 

9554 

9624 

20 

4o 

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4948 

5oi5 

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5218 

19 

40 

10.479695 

9765 

9836 

9906 

9977 

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4i 

5285 

5353 

5420 

5488 

5555 

5623 

18 

4i 

10.4801 18 

0189 

0259 

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18 

42 

5690 

5758 

5825 

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5960 

6028 

17 

42 

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17 

43 

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6298 

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16 

43 

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1178 

1248 

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44 

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6568 

6636 

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6771 

6839 

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44 

1390 

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1602 

1673 

1744 

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45 

6906 

6974 

7042 

7109 

7177 

7245 

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45 

i8i4 

i885 

1956 

2027 

2098 

2169 

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46 

73i2 

7380 

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75i5 

7583 

765i 

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46 

2239 

23l0 

238i 

2452 

2523 

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47 

7719 

7786 

7854 

7922 

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8o57 

12 

47 

2665 

2736 

2807 

2877 

2948 

3019 

12 

48 

8i25 

8193 

8261 

8329 

8397 

8464 

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48 

3090 

3i6i 

3232 

33o3 

3374 

3445 

1 1 

49 

8532 

8600 

8668 

8736 

88o4 

8872 

10 

49 

35i6 

3587 

3658 

3729 

38oo 

3871 

10 

5o 

ro. 458939 

9007 

9075 

9143 

921 1 

9279 

9 

5o 

10.483943 

4oi4 

4o85 

4i56 

4227 

4298 

9 

5i 

9347 

94i5 

9483 

9551 

9619 

9687 

8 

5i 

4369 

4440 

45ii 

4583 

4654 

4725 

8 

52 

9755 

9823 

9891 

9959 

..27 

..95 

7 

52 

4796 

4867 

4938 

5oio 

5o8i 

5i52 

7 

53 

io.46oi63 

023l 

0299 

0367 

0435 

o5o3 

6 

53 

5223 

5295 

5366 

5437 

55o8 

558o 

6 

54 

0571 

0639 

0707 

0776 

0844 

0912 

5 

54 

565i 

5722 

5794 

5865 

5936 

6008 

5 

55 

0980 

io48 

II 16 

ii84 

1253 

l32I 

4 

55 

6079 

6i5o 

6222 

6293 

6364 

6436 

4 

56 

i389 

1457 

i525 

1594 

1662 

1730 

3 

56 

65o7 

6579 

665o 

6722 

6793 

6864 

3 

57 

1798 

1867 

1935 

2oo3 

2071 

2l4o 

2 

57 

6936 

7007 

7079 

7i5o 

7222 

7293 

2 

58 

2208 

2276 

2345 

24i3 

2481 

255o 

I 

58 

7365 

7436 

7508 

7580 

765i 

7723 

I 

59 

2618 

2686 

2755 

2823 

2891 

2960 

0 

59 

7794 

7866 

7937 

8009 

8081 

8i52 

0 

60" 

50"" 

40"   30"   20" 

10" 

c 

60" 

50" 

40" 

30" 

20" 

10" 

Co-tangent  of  19  Degrees. 

^ 

Co-tangent  of  18  Degrees. 

p  p  Ml"  2"  3"  4"  5"  6"  7"  8"  9" 
f.i-artj^  13  20  27  33  40  47  54  60 

„  p  Al"   2"  3"  4"  5"  6"  7"  8"  9" 
P.  Part  j^  14  21  28  35  42  49  56  63 

96 


Logarithmic   Sines. 


Sine  of  72  Decrees, 

Sine  of  73  Degrees. 

0"    I  10"  1  20" 

30" 

40" 

50" 

0" 

10" 

20" 

30" 

40" 

50" 

o 

9.97820618213 

8220 

8227 

8234 

8241 

59 

0 

9.980596 

o6o3 

0609 

06x6 

0622 

0628 

59 

I 

82478254 

8261 

8268 

8275 

8282 

58 

I 

o635 

064  X 

o648 

o654 

0661 

0667 

58 

2 

8288  8295 

83o2 

83o9 

83x6 

8322 

57 

2 

0673 

0680 

0686 

0693 

0699 

0706 

57 

3 

83298336 

8343 

835o 

8357 

8363 

56 

3 

07x2 

0718 

0725 

073X 

0738 

0744 

56 

4 

8370 

8377 

8384 

8391 

8397 

84o4 

55 

4 

0750 

0757 

0763 

0770 

0776 

0783 

55 

5 

84ii 

84i8 

3425 

843x 

8438 

8445 

54 

5 

0789 

0795 

0802 

0808 

o8i5 

0821 

54 

6 

8452 

845q 

8465 

8472 

8479 

8486 

53 

6 

0827 

o834 

o84o 

0847 

o853 

0859 

53 

7 

8493|3499 

85o6 

85x3 

8520 

8527 

52 

7 

0866 

0872 

0878 

o885 

089X 

0898 

52 

8 

8533!854o 

8547 

8554 

856x 

8567 

5i 

8 

0904 

0910 

09x7 

0923 

0930 

0936 

5x 

9 

8574 

858i 

8588 

8594 

860X 

8608 

5o 

9 

0942 

0949 

0955 

096X 

0968 

0974 

5o 

10 

9.978615 

8622 

8628 

8635 

8642 

8649 

49 

xo 

9.980981 

0987 

0993 

1000 

1006 

10x2 

49 

II 

8655 

8662 

8669 

8676 

8682 

8689 

48 

XI 

1019 

X025 

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xo38 

xo44 

xo5x 

48 

12 

8696 

S703 

8709 

87x6 

8723 

8730 

47 

12 

io57 

xo63 

X070 

1076 

1082 

1089 

47 

i3 

8737 

8743 

8750 

8757 

8764 

8770 

46 

i3 

X095 

XlOX 

XX08 

X  xi4 

X120 

1 127 

46 

i4 

8777 

8784 

8791 

8797 

88o4 

8811 

45 

i4 

1x33 

xx39 

xi46 

Il52 

1x58 

1x65 

45 

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8817 

8824 

883i 

8838 

8844 

885x 

44 

x5 

117X 

1x77 

xi84 

II90 

XX96 

X203 

44 

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8858 

8865 

8871 

8878 

8885 

8892 

43 

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1209 

12X5 

1222 

1228 

1234 

1241 

43 

n 

8898 

8905 

8912 

8918 

8925 

8932 

42 

17 

1247 

X253 

1260 

X266 

X272 

1279 

42 

i8 

8939 

8945 

8952 

8959 

8965 

8972 

4i 

x8 

1285 

129X 

1298 

i3o4 

x3xo 

x3x7 

4i 

19 

8979 

8986 

8992 

8999 

9006 

9012 

4o 

19 

i323 

x329 

i336 

1 342  1 348 

x354 

4o 

20 

9.979019 

9026 

9033 

9039 

9046 

9053 

39 

20 

9.98x361 

x367 

x373 

x38o  x386 

1392 

39 

21 

9059 

9066 

9073 

9079 

9086 

9093 

38 

2X 

1399 

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x4x7  1424 

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38 

22 

9100 

9106 

91x3 

9x20 

9x26 

9x33 

37 

22 

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1443 

1449 

x455  x46i 

x468 

37 

23 

9140 

9146 

9x53 

9x60 

9x66 

9x73 

36 

23 

1474 

i48o 

1487 

1493,1499 

x5o5 

36 

24 

9180 

9186 

9193 

9200 

9206 

92x3 

35 

24 

I5X2 

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i53x!i537 

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35 

25 

9220 

9227 

9233 

9240 

9247 

9253 

34 

25 

1549 

x556 

x562 

i568  1574 

x58x 

34 

26 

9260 

9267 

9273 

9280 

9287 

9293 

33 

26 

i587 

X593 

x599 

1606 

16x2 

1618 

33 

27 

9300 

9806 

93x3 

9320 

9326 

9333 

32 

27 

1625 

x63x 

x637 

1643 

i65o 

i656 

32 

28 

9340 

9346 

9353 

9360 

9366 

9373 

3x 

28 

1662 

x668 

X675 

1681 

X687 

X693 

3x 

29 

9380 

9386 

9393 

9400 

9406 

94i3 

3o 

29 

1700 

X706 

X712 

17x8 

1724 

X73x 

3o 

3o 

9.979420 

9426 

9433 

9439 

9446 

9453 

29 

3o 

9.981737 

1743 

X749 

X756  X762 

1768 

29 

3i 

9459 

9466 

9473 

9479 

9486 

9492 

28 

3x 

1774 

X78X 

X787 

X793 

1799 

1806 

28 

32 

9499 

9506 

95x2 

95x9 

9526 

9532 

27 

32 

i3x2 

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27 

33 

9539 

9545 

9552 

9559 

9565 

9572 

26 

33 

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2004 

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60" 

50" 

40" 

30" 

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60"     50" 

40"  1 

30" 

20" 

10" 

Co-sine  of  17  Degrees. 

s 

Co-sine  of  16  Degrees. 

P.F 

„J1"  2"  3"  4"  5"  6"  7"  8"  9" 
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p  p,re  i  1"  2"  3"  4"  5"  6"  7"  8"  9" 
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r  - 

Li  0  G  A  R 

I  T  II  M  I  C 

i  A  N  G  E  N  T  S. 

97 

^ 

Tangent  of  72  Degrees. 

Tangent  of  73  Degrees. 

0"    1  10"  1  20" 

30" 

40" 

50" 

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10" 

20"  i  30" 

40" 

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50" 

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26 

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9665 

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2027 

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2265  2345 

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0 

60" 

5C" 

40" 

30" 

20" 

10" 

60" 

50" 

40" 

30"   20"  1 

10" 

5 

Co-tangent  of  17  Degrees. 

Co-tangent  of  16  Degrees. 

P.] 

^  1"  2"  3"  4"  5"  6"  7"  8"  9" 
"*  "/  7  .  15  23  29  37  44  51  59  G6 

P. 

p  J  1  '  2 '  3"  4"  5"  6"  7"  8"  9" 
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Q 


98 

Log 

ue  of  74  Degrees. 

AKiTHMic  Sines. 

Si 

Sine  of  75  Degrees. 

0" 

10" 

20" 

30" 

40"  1  50" 

0"   1  10" 

ao" 

30" 

40" 

TM" 

o 

9.982842 

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2848 

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2860 

2866  2872 

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2902  2908 

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2938  2944 

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3 

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4 

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2992 

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55 

4 

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5 

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5 

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6 

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3070 

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53 

6 

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53 

7 

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7 

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18 

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19 

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20 

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21 

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21 

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5701 

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3670 

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23 

5712 

5717 

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5728 

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24 

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5832 

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5985 

5991 

5996 

6001 

28 

32 

3981 

3986 

3992 

3998 

4oo4 

4oio 

27 

32 

6007 

6012 

6018 

6023 

6029 

6o34 

27 

33 

4oi5 

402I 

4027 

4o33 

4o39 

4o45 

26 

33 

6039 

6045 

6o5o 

6o56 

6061 

6067 

26 

34 

4o5o 

4o56 

4062 

4068 

4074 

4079 

2  5 

34 

6072 

6077 

6o83 

6088 

6094 

6099 

2  5 

35 

4o85 

4091 

4097 

4io3 

4io8 

4ii4 

24 

35 

6io4 

61 10 

6ii5 

6121 

6126 

6i32 

24 

36 

4l20 

4126 

4t32 

4i37 

4i43 

4i49 

23 

36 

6137 

6142 

6i48 

6i53 

6159 

6i64 

23 

37 

4i55 

4i6i 

4i66 

4172 

4178 

4i84 

12 

37 

6169 

6175 

6180 

6186 

6191 

6196 

22 

38 

4190 

4195 

4201 

4207 

42l3 

4218 

21 

38 

6202 

6207 

6212 

6218 

6223 

6229 

21 

39 

4224 

423o 

4236 

4242 

4247 

4253 

20 

39 

6234 

6239 

6245 

625o 

6256 

6261 

20 

4o 

9.984259 

4265 

4270 

4276 

4282 

4288 

19 

4o 

9. 986266 

6272 

6277 

6282 

6288 

6293 

'9 

4i 

4294 

4299 

43o5 

43ii 

4317 

4322 

18 

4i 

6299 

63o4 

63o9 

63i5 

6320 

6325 

18 

42 

4328 

4334 

4340 

4345 

435i 

4357 

17 

42 

633i 

6336 

6342 

6347 

6352 

6358 

17 

43 

4363 

4368 

4374 

438o 

4386 

4391 

16 

43 

6363 

6368 

6374 

6379 

6384 

6390 

16 

44 

4397 

44o3 

4409 

44i4 

4420 

4426 

i5 

44 

6395 

64oi 

64o6 

64ii 

6417 

6422 

i5 

45 

4432 

4437 

4443 

4449 

4455 

4460 

.4 

45 

6427 

6433 

6438 

6443 

6449 

6454 

i4 

46 

4466 

4472 

4477 

4483 

4489 

4495 

i3 

46 

6459 

6465 

6470 

6475 

648i 

6486 

i3 

47 

45oo 

45o6 

45i2 

45i8 

4523 

4529 

12 

47 

6491 

6497 

65o2 

65o7 

65i3 

65i8 

12 

48 

4535 

4540 

4546 

4552 

4558 

4563 

II 

48 

6523 

6529 

6534 

6539 

6545 

655o 

1 1 

49 

4569 

4575 

458o 

4586 

4592 

4598 

10 

49 

6555 

656i 

6566 

6571 

6577 

6582 

TO 

5o 

9.984603 

4609 

46i5 

4620 

4626^4632 

9 

5o 

9.986587 

6593 

6598 

66o3 

6608 

66i4 

9 

5i 

4638 

4643 

4649 

4655 

466o'4666 

8 

5i 

6619 

6624 

663o 

6635 

664o 

6646 

8 

52 

4672 

4677 

4683 

4689 

4694  4700 

7 

52 

665i 

6656 

6661 

6667 

6672 

6677 

7 

53 

4706 

4712 

4717 

4723 

4729'4734 

6 

53 

6683 

6688 

6693 

6699 

6704 

6709 

6 

54 

4740 

4746 

4751 

4757 

47634768 

5 

54 

6714 

6720 

6725 

6730 

6736 

6741 

5 

55 

4774 

4780 

4785 

4791 

^797 

4802 

4 

55 

6746 

6751 

6757 

6762 

6767 

6773 

4 

56 

4808 

48i4 

4819 

4825 

483 1 

4836 

3 

56 

6778 

6783 

6788 

6794 

6799 

68o4 

3 

57 

4842 

4848 

4853 

4859 

48654870 

2 

57 

6809 

68i5 

6820 

6825 

683i 

6836 

2 

58 

4876 

4882 

4887 

4893 

4899  4904 

I 

58 

684i 

6846 

6852 

6857 

6862 

6867 

I 

59 

4910 

4916 

4921 
40" 

4927 

4932'4938 

0 

59 

6873 

6878 

6883 

6888 

6894 

6899 

0 

60" 

50" 

30' 

20"  1  10" 

60" 

50" 

40" 

30"   20"  1 

10' 

Co-s 

ine  of  16  Degrees. 

Co-sine  of  14  Degrees. 

p.r 

\  1"  2 

'  3" 
2 

4" 

2 

5'  6 
3   3 

'  7" 
4 

8"  9" 
5  5 

ppnrfi  1"  2"  3"  4"  5"  6"  7"  8'  9" 
^•'^'*"/  112   2   3  3   4  4   5 

Logarithmic   Tangents. 


99 


i 

Tantjent  of  74  Dea^rees. 

Tant^ent  of  75  Degrees. 

59 

0" 

10" 

20" 

30" 

40" 

50" 

0" 

10" 

20" 

30" 

40" 

hO" 

0 

io.5425o^ 

2583 

2663 

2742 

2822 

2901 

59 

0 

10.571948 

2o32 

21  l6 

2200 

2285 

2369 

I 

2981 

3o6o 

3i4o 

3219 

3299 

3378 

58 

I 

2453 

2537 

2622 

2706 

2790 

2875 

58 

2 

3458 

3538 

3617 

3697 

3777 

3856 

57 

2 

2959 

3o44 

3128 

3212 

3297 

338i 

57 

3 

3936 

4oi6 

4095 

4175 

4255 

4335 

56 

3 

3466 

35  5o 

3635 

3719 

38o4 

3888 

56 

4 

44 1 4 

4494 

4574 

4654 

4733 

48i3 

55 

4 

3973 

4o58 

4i42 

4227 

43ii 

4396 

55 

5 

4893 

4973 

5o53 

5i33 

52i3 

5292 

54 

5 

448 1 

4565 

465o 

4735 

4819 

4904 

54 

6 

5372 

5452 

5532 

56i2 

5692 

5772 

53 

6 

4989 

5073 

5i58 

5243 

5328 

54i3 

53 

7 

5852 

5932 

6012 

6092 

6172 

6252 

52 

7 

5497 

5582 

5667 

5752 

5837 

5922 

52 

8 

6332 

6412 

6492 

6572 

6653 

6733 

5> 

8 

6007 

6091 

6176 

6261 

6346 

643i 

5i 

9 

68i3 

6893 

6973 

7g53 

7133 

7214 

5o 

9 

65i6 

6601 

6686 

6771 

6856 

6941 

5o 

10 

10.547294 

7374 

7454 

7535 

7615 

7695 

49 

10 

10. 577026 

71 12 

7197 

7282 

7367 

7452 

49 

II 

7775 

7856 

7936 

8016 

8097 

8177 

48 

II 

7537 

7622 

7708 

7793 

7878 

7963 

48 

12 

8257 

8338 

84i8 

8498 

8579 

8659 

47 

12 

804  8 

8 1 34 

8219 

83o4 

8390 

8475 

47 

i3 

8740 

8820 

8901 

8981 

9062 

9142 

46 

i3 

856o 

8646 

8731 

8816 

8902 

8987 

46 

i4 

9223 

93o3 

9384 

9464 

9545 

9625 

45 

i4 

9073 

9i58 

9243 

9329 

94i4 

gSoo 

45 

i5 

9706 

9787 

9867 

9948 

..28 

.  109 

44 

i5 

9585 

9671 

9756 

9842 

9928 

..i3 

44 

i6 

10.550190 

0270 

o35i 

0432 

o5i3 

0593 

43 

16 

10.580099 

0184 

0270 

o356 

044 1 

0527 

43 

17 

0674 

0755 

o836 

0916 

0997 

1078 

42 

17 

06 1 3 

0698 

0784 

0870 

0956 

io4i 

42 

i8 

1 159 

1240 

l320 

i4or 

1482 

i563 

4i 

18 

1 127 

I2l3 

1299 

1 384 

1470 

i556 

4i 

19 

1644 

1725 

1806 

1887 

1968 

2049 

40 

'9 

1642 

1728 

i8i4 

1900 

1986 

2072 

4o 

20 

io.552i3o 

221 1 

2292 

2373 

2454 

2535 

39 

20 

I0.582I58 

2243 

2329 

24i5 

25oi 

2587 

39 

21 

2616 

2697 

2778 

2859 

2940 

3o2I 

38 

21 

2674 

2760 

2846 

2932 

3oi8 

3io4 

38 

22 

3l02 

3i83 

3265 

3346 

3427 

35o8 

37 

22 

3190 

3276 

3362 

3449 

3535 

3621 

37 

23 

3589 

3670 

3752 

3833 

3914 

3995 

36 

23 

3707 

3793 

388o 

3966 

4o52 

4i38 

36 

24 

4077 

4i58 

4239 

4321 

44o2 

4483 

35 

24 

4225 

43ii 

4397 

4484 

4570 

4657 

35 

25 

4565 

4646 

4728 

4809 

4890 

4972 

34 

25 

4743 

4829 

4916 

5o02 

5089 

5175 

34 

26 

5o53 

5i35 

52i6 

5298 

5379 

546t 

33 

26 

5262 

5348 

5435 

5521 

56o8 

5694 

33 

27 

5542 

5624 

5705 

5787 

5868 

5950 

32 

27 

5781 

5868 

5954 

6o4i 

6127 

6214 

32 

28 

6o32 

6ri3 

6195 

6276 

6358 

644o 

3i 

28 

63oi 

6387 

6474 

656i 

6648 

6734 

3i 

29 

6521 

66o3 

6685 

6766 

6848 

6930 

3o 

29 

6821 

6908 

6995 

7081 

7168 

7255 

3o 

3o 

10.557012 

7093 

7175 

7257 

7339 

7421 

29 

3o 

10.587342 

7429 

7516 

7603 

7690 

7776 

29 

3i 

75o3 

7584 

7666 

7748 

783o 

7912 

28 

3i 

7863 

7950 

8037 

8124 

8211 

8298 

28 

32 

7994 

8076 

8r58 

8240 

8322 

84o4 

27 

32 

8385 

8472 

8559 

8647 

8734 

8821 

27 

33 

8486 

8568 

865o 

8732 

88i4 

8896 

26 

33 

8908 

8995 

9082 

9169 

9257 

9344 

26 

34 

8978 

9060 

9142 

9224 

9306 

9388 

25 

34 

9431 

9518 

9605 

9693 

9780 

9867 

25 

35 

9471 

9553 

9635 

9717 

9799 

9881 

24 

35 

9955 

..42 

.  129 

.217 

.3o4 

.  391 

24 

36 

9964 

..46 

.128 

.210 

.293 

.375 

23 

36 

10.590479 

o566 

o654 

0741 

0829 

0916 

23 

37 

10.560457 

o54o 

0622 

0704 

0787 

0869 

22 

37 

ioo4 

1091 

1179 

1266 

t354 

i44i 

22 

38 

0952 

io34 

1116 

1199 

1281 

1 364 

21 

38 

i529 

1616 

1704 

1792 

1879 

[967 

21 

39 

i446 

i529 

161 1 

1694 

1776 

(859 

20 

39 

2o55 

2142 

223o 

23[8 

2406 

2493 

20 

4o 

io.56ig4i 

2024 

2106 

2189 

2272 

2354 

•9 

4o 

10.592581 

2669 

2757 

2845 

2932 

3020 

'9 

4i 

2437 

2520 

2602 

2685 

2768 

285o 

18 

4i 

3io8 

3196 

3284 

3372 

3460 

3548 

18 

42 

2933 

3oi6 

3099 

3i8i 

3264 

334? 

'7 

42 

3636 

3724 

38 1 2 

3900 

3988 

4076 

17 

43 

343o 

35i2 

3595 

3678 

3761 

3844 

16 

43 

4i64 

4252 

4340 

4428 

45i6 

46o4 

16 

44 

3927 

4oio 

4093 

4175 

4258 

4341 

i5 

44 

4692 

4781 

4869 

4957 

5o45 

5i33 

i5 

45 

4424 

4507 

4590 

4673 

4756 

4839 

i4 

45 

5222 

53io 

5398 

5486 

5575 

5663 

i4 

46 

4922 

5oo5 

5o88 

5172 

5255 

5338 

i3 

46 

5751 

584o 

5928 

601 7 

6io5 

6193 

1 3 

47 

5421 

55o4 

5587 

5670 

5754 

5837 

12 

47 

6282 

6370 

6459 

6547 

6636 

6724 

12 

48 

5920 

6oo3 

6086 

6170 

6253 

6336 

1 1 

48 

68i3 

6901 

6990 

7078 

7167 

7256 

1 1 

49 

6420 

65o3 

6586 

6669 

6753 

5836 

10 

49 

7344 

7433 

7522 

7610 

7699 

7788 

10 

5o 

10. 566920 

7003 

7086 

7170 

7253 

7337I  9 

5o 

10.597876 

7965 

8o54 

8143 

823i 

8320 

9 

5i 

7420 

75o4 

7587 

7671 

7754 

7838:  8 

5i 

8409 

8498 

8587 

8675 

8764 

8853 

8 

52 

7921 

8oo5 

8088 

8172 

8255 

S339  7 

52 

8942 

9o3i 

9120 

9209 

9298 

9387 

7 

53 

8423 

85o6 

8590 

8674 

8757 

384 1 

6 

53 

9476 

9565 

9654 

9743 

9832 

9921 

6 

54 

8925 

9008 

9092 

9176 

9260 

9343 

5 

54 

10.600010 

0100 

0189 

0278 

0367 

o456 

5 

55 

9427 

95ii 

9595 

9679 

9763 

9846 

4 

55 

o545 

o635 

0724 

o8i3 

0902 

0992 

4 

56 

9930 

..i4 

..98 

.182 

.266 

.35o 

3 

56 

1 08 1 

1 170 

1260 

1 349 

i438 

i528 

3 

57 

10  570434 

o5i8 

0602 

0686 

0770 

o854 

2 

57 

1617 

1706 

1796 

i885 

1975 

2064 

2 

58 

0938 

1022 

1106 

1 190 

1274 

i358 

1 

58 

2i54 

2243 

2333 

2422 

25l2  2601 

I 

59 

1442 

i527 

161 1 

1695 

1779 

i863 

0 

59 

2691 

2781 

2870 

2960 

3o5o3i39 

0 

c 
1Z 

60" 

50" 

40" 

30" 

20" 

10" 

^ 

60" 

50" 

40" 

30'' 

20"   10" 

Co-tans^ent  of  15  Degrees. 

Co-tangent  of  14  Degrees. 

PPartl^"  2"  3"  4"  5"  6'  7"  8"  9' 
j-.i-art^g  jg  25  33  41  49  57  65  74 

pp„^  (1"  2"    r    4"  5"  6"  7"  8"  9" 
P.rartjg  17  26  35  43  52  61  C9  78 

100 


LOGAKITHMIC     SiNES. 


a 


o 
I 

2 

3 

4 
5 
6 

7 
8 

9 

lO 

1 1 

12 

i3 
i4 
i5 
i6 

n 

i8 

19 
20 

21 

22 

23 

24 

25 

26 

27 
28 
39 

3o 
3i 

32 

33 

34 
35 
36 

37 
38 
39 

4o 
4i 
42 
43 
44 
45 
46 

47 
48 

49 
5o 

5i 

52 

53 
54 
55 
56 

57 
58 
59 


Sine  of  76  Degrees. 


10' 


20' 


.986904  6909  6915 
6936:6941  6946 


6967  6972 
6998  7004 
7o3o  7035 
7061J7066 
7092  7098 
712417129 
7i55  7160 
718617191 


.987217 
7248 
7279 
7310 

7341 
7372 
74o3 
7434 
7465 
7496 
.987526 
7557 
7588 
7618 
7649 


7222 
7253 
7284 
73t5 
7346 
7377 
7408 
7439 
7470 
75oi 
7531 
7562 
7593 
7623 
7654 


7679  7684 
7710  77i5 
77407745 

7771  7776 

78017806 

.987832  7837 


7867 
7897 


7862 

7892 

7922:7927 

79537958 

79837988 

8oi38oi8 

8o43|8o48 

80738078 

8io38io8 

.9881338138 
8i63 
8193 
8223 
8252 
8282 
83i2 
8342 
8371 
84oi 

.988430 


8168 
8198 
8227 
8257 
8287 
83i7 
8346 
8376 
84o6 
8435 


846o8465 
848918494 
85i9 
8548 


8578 
8607 
8636 
8666 
8695 


8524 
8553 
8583 
8612 
864i 
8670 
8700 


60' 


6978 
7009 
7040 
7072 
7io3 
7i34 
7i65 
7196 
7228 
7259 
7290 
7321 
7352 
7383 
74i3 
7444 
7475 
7506 
7537 
7567 
7598 
7628 
7659 
7690 
7720 
7750 
7781 
7811 
7842 
7872 
7902 
7932 
7963 

7993 
8023 
8o53 
8o83 
8ii3 
8i43 
8173 
8203 

8232 

8262 

8292 

8322 

835i 

838i 
84ii 
844  o 
8470 

8499 
8529 
8558 
8587 
8617 
8646 
8675 
8704 


30"   40' 


50' 


6920 
6951 
6983 
7014 
7045 
7077 
7108 
7139 
7170 
7202 
7233 
7264 
7295 
7326 
7357 
7388 
7419 
7449 
7480 
75i  I 
7542 
7572 
7603 
7634 
7664 
7695 
7725 
7756 
7786 
7816 

7847 
7877 
7907 
7937 
7968 
7998 
8028 
8o58 
8088 
8n8 
8i48 
8178 
8208 
8237 
8267 
8297 
8327 
8356 
8386 
84i6 
8445 


6925 
6957 
6988 
7019 
7o5i 
7082 
71 13 
7144 
7176 
7207 
7238 
7269 
7300 
7331 
7362 
7393 
7424 
7454 
7485 
7516 
7547 

7577 
7608 

7639 

7669 

7700 

7730 

7761 

7791 

7821 

7852 

7882 

7912 

7942 

7973 

8oo3 

8o33 

8o63 

8093 

8i23 

8i53 

8i83 

82i3 

8242 

8272 

83o2 

8332 

836i 

8391 

8420 

845o 


6930 
6962 
6993 
7025 
7o56 
7087 
7118 
7i5o 
7181 
7212 
7243 
7274 
73o5 
7336 
7367 
7398 
7429 
7460 
7490 
7521 
7552 
7583 
7613 
7644 
7674 
7705 
7735 
7766 
7796 
7826 
7857 
7887 
7917 

7947 
7978 
8008 
8o38  23 
8068  22 
809821 
8128  20 


59 

58 

57 
56 

55 
54 
53 

52 

5i 
5o 

49 

48 

47 
46 
45 
44 
43 
42 
4i 
4o 

39 

38 

37 
36 
35 

34 
33 

32 

3i 
3o 
29 

28 
27 
26 

25 

24 


84758480 
85o485o9 
85348538 
85638568 
8592  8597 
8622  8626 
865i  8656 


8680 
8709 


50"  I  40' 


30' 


8685 
8714 


8i58 

8188 

8218 

8247 

8277 

8  307 

8337 

8366 

8396 

842  5 

8455 

8484 

85i4 

8543 

8573 

8602 

863i 

8661 

8690 

8719 


20" 


19 

18 

17 
16 

i5 
i4 
i3 
12 
1 1 
10 

9 

8 

7 
6 

5 
4 
3 

o 

1 
o 


10" 


Co-sine  of  13  Degrees. 


o 
1 
2 
3 

4 
5 
6 

7 
8 

9 
10 

1 1 
12 
i3 
i4 
i5 
16 

17 

18 

19 
20 

21 

22 

23 

24 
25 

26 

27 
28 
29 

3o 
3i 

32 

33 
34 
35 
36 

37 
38 

39 
40 

4i 
42 
43 
44 
45 
46 

47 
48 

49 
5o 

5i 

52 

53 
54 
55 
56 

57 
58 

59 


Sine  of  77  Degrees. 


0" 


.988724 
8753 
8782 
8811 
884o 
8869 
8898 
8927 
8956 
8985 

.989014 
9042 
9071 
9100 
9128 
9157 
9186 
9214 
9243 
9271 

.989300 
9328 
9356 
9385 
94i3 


10" 


8729 
8758 
8787 
8816 
8845 
8874 
8903 
8932 
8961 
8990 
9018 

9047 
9076 
9105 
9133 
9162 
9190 
9219 

9247 
9276 

93o4 
9333 
9361 
9389 
9417 


20"   30"  I  40" 


9441  9446 


9469 

9497 
9525 
9553 
,989582 
9610 
9637 
9665 
9693 
9721 
9749 

9777 
9804 
9832 
.989860 
9887 
9915 
9942 
9970 

9997 

.990025 

oo52 

0079 

0107 

990134 

0I6I 

0188 

02l5 

0243 
0270 
0297 
o324 
o35i 
0378 


8734 
8763 
8792 
8821 
885o 
8879 
8908 
8937 
8966 
8994 
9023 
9o52 
9081 
9109 
9i38 
9167 
9195 
9224 
9252 
9281 
9309 

9337 
9366 

9394 
9422 
945o 


8739 
8768 
8797 


8743 
8772 
8802 


8826  883i 


9474 

9502 

9530 

9558 

9586 

9614 

9642 

9670 

9698 

9726 

9753^ 

9781  9786 

9809  9814 


8855 
8884 
8913 
8942 
8970 
8999 
9028 
9057 
9085 
9114 
9143 
9171 
9200 
9228 
9257 
9285 
93i4 
9342 
9370 
9399 
9427 
9455 


9479  9483 


9507 
9535 
9563 
9591 
9619 
9647 
9675 
9703 
9730 
9758 


60" 


9837 
9864 
9892 
9919 

9947 
9974 
2 
0029 

oo57 
0084 
01 1 1 
oi38 
0166 
0193 
0220 
0247 
0274 
o3oi 
o328 
o355 
o382 


50" 


9841 
9869 
9896 
9924 
9952 

9979 
...6 

oo34 
0061 
0088 
0116 
0x43 
0170 
0197 

0225 
0252 


50" 


9311 

9539 

9568 

9596 

9623 

9651 

9679 

9707 

9735 

9763 

9790 

9818 

9846 

9873 

9901 

9929 

9956 

9984 

.  .  II 

oo38 

0066 

0093 

0120 

or48 

0175 

0202 

0229 

0256 


0279  0283 
o3o6  o3io 
o333  0337 
o36olo364 
o386Jo39i 


8860 
8889 
8918 
8946 
8975 
9004 
9033 
9062 
9090 
9T19 
9148 
9176 
9205 
9233 
9262 
9290 
9318 

9347 

9375 

94o3 

9432 

9460 

9488 

95i6 

9544 

9572 

9600 

9628 

9656 

9684 

9712 

9740 

9767 

9795 

9823 

9850 

9878 

9906 

9933 

9961 

9988 

..16 

oo43 

0070 

0098 

0125 

01  52 
0179 
0206 
0234 
0261 
0288 
o3i5 
o342 
0369 
0395 


40"   30"   20" 


8748 

8777 

8806 

8835 

8864 

8893 

8922 

8951 

8980 

9009 

9o38 

9066 

9095 

9124 

9152 

9181 

9209 

9238 

9266 

9295 

9323 

9352 

9380 

9408 

9436 

9464 

9493 

9521 

9549 

9577 

9605 

9633 

9661 

9689 

9716 

9744 
9772 
9800 
9827 
9855 
9883 
9910 
9938 
9965 
9993 
20 
oo48 
0075 
0102 
0129 
0157 
oi84 
021 1 
0238 
0265 
0292 
o3i9 
o346 
0373 
o4oo 


59 

58 

57 
56 
55 
54 
53 

52 

5i 
5o 

49 

48 

47 
46 

45 
44 
43 
42 
4i 
4o 

39 

38 

37 
36 
35 
34 
33 

32 

3t 
3o 
29 

28 
27 
26 

25 

24 

23 
22 
21 
20 

19 

18 

17 
16 

i5 

i4 
i3 
12 
1 1 
10 


10" 


Co-sine  of  12  Degrees. 


"  3"  4"  5"  6"  7"  8"  9" 
4  4  5 


P,  Part  ]  1   1   2   2   3  3 


„  ^  J  1"  2"  3"  4"  5"  6"  7"  8"  9" 
P.FartJQ  112   2   3   3   4   4 


Logarithmic   Tangents. 


101 


Tangent  of  76  Degrees. 

d 

ii 

Tangent;  0 

IB 

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I 

0" 

10"   30" 

30" 

40" 

50" 

0"    1  .10"  f 

20"* 

30"  1  40" 

50" 

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10.603229 

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3408 

3498 

3588 

3678  59I 

0 

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6  8a  8 

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3767 

3857 

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7309 

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76'97 

/O94 

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2 

43o6 

4396 

4486 

4576 

4666 

4756 

57 

2 

7790 

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7983 

8079 

8175 

8272 

57 

3 

4846 

4936 

5026 

5ii6 

5206 

5296 

56 

3 

8368 

8465 

856i 

8657 

8754 

885o 

56 

4 

5386 

5477 

5567 

5657 

5747 

5837 

55 

4 

8947 

9043 

9140 

9237 

9333 

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55 

5 

5927 

6017 

6108 

S198 

6288 

6378 

54 

5 

9526 

9623 

9720 

9816 

9913 

. .  10 

54 

6 

6469 

6559 

6649 

6740 

683o 

6920 

53 

6 

10.640107 

02o3 

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0397 

0494 

0591 

53 

7 

701 1 

7101 

7192 

7282 

7372 

7463 

52 

7 

0687 

0784 

0881 

0978 

1075 

1 172 

52 

8 

7553 

7644 

7734 

7825 

7915 

8006 

5i 

8 

1269 

i366 

i463 

i56o 

1657 

1754 

5i 

9 

8097 

8187 

8278 

8368 

8459 

855o 

5o 

9 

i85i 

1948 

2o46 

2143 

2240 

2337 

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10 

10.608640 

8731 

8822 

S913 

9003 

9094 

49 

10 

10.642434 

253i 

2629 

2726 

2823 

2921 

49 

1 1 

9185 

9276 

9367 

9457 

9548 

9639 

48 

1 1 

3oi8 

3ii5 

32i3 

33 10 

3407 

35o5 

48 

12 

9730 

9821 

9912 

...3 

..94 

.185 

47 

12 

36o2 

3700 

3797 

3895 

3992 

4090 

47 

i3 

10.610276 

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0549 

o64o 

0731 

46 

i3 

4187 

4285 

4383 

4480 

4578 

4676 

46 

i4 

0822 

0913 

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1095 

1186 

1278 

45 

i4 

4773 

4871 

4969 

5o66 

5i64 

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45 

i5 

1369 

i46o 

i55i 

1642 

1734 

1825 

44 

i5 

536o 

5458 

5555 

5653 

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5849 

44 

i6 

1916 

2008 

2099 

2190 

2282 

2373 

43 

16 

5947 

6045 

6143 

6241 

6339 

6437 

43 

17 

2464 

2556 

2647 

2739 

283o 

2922 

42 

17 

6535 

6633 

6731 

6829 

6927 

7026 

42 

i8 

3oi3 

3io5 

3196 

3288 

3379 

3471 

4i 

18 

7124 

7222 

7320 

7418 

7517 

7615 

4i 

19 

3562 

3654 

3746 

3837 

3929 

4021 

4o 

19 

7713 

7811 

7910 

8008 

8106 

8205 

4o 

20 

io.6i4i 12 

4204 

4296 

4388 

4479 

4571 

39 

20 

io.6483o3 

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85oo 

8599 

8697 

8796 

39 

21 

4663 

4755 

4847 

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5 1 22 

38 

21 

8894 

8993 

9091 

9190 

9288 

9387 

38 

22 

52i4 

53o6 

5398 

5490 

5582 

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37 

22 

9486 

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9782 

9880 

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23 

5766 

5858 

5950 

6042 

61 34 

6226 

36 

23 

10.650078 

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0276 

0374 

0473 

0572 

36 

24 

63r8 

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65o3 

6595 

6687 

6779 

35 

24 

0671 

0770 

0869 

0968 

1067 

1166 

35 

25 

6871 

6964 

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7241 

7333 

34 

25 

1265 

1 364 

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1 66 1 

1760 

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26 

7425 

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33 

26 

1859 

1958 

2o58 

2i57 

2256 

2355 

33 

27 

7980 

8072 

8164 

8257 

8349 

8442 

32 

27 

2455 

2554 

2653 

2752 

2852 

2951 

32 

28 

8534 

8627 

8720 

8812 

8905 

8997 

3i 

28 

3o5i 

3i5o 

3249 

3349 

3448 

3548 

3i 

29 

9090 

9183 

9275 

9368 

9461 

9554 

3o 

29 

3647 

3747 

3846 

3946 

4o46 

4i45 

3o 

3o 

10.619646 

9739 

9832 

9925 

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29 

3o 

10.654245 

4344 

4444 

4544 

4643 

4743 

29 

" 

3i 

10.620203 

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0482 

0575 

0668 

28 

3i 

4843 

4943 

5o43 

5i42 

5242 

5342 

28 

32 

0761 

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1226 

27 

32 

5442 

5542 

5642 

5742 

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27 

33 

i3i9 

r4i2 

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1598 

1691 

1784 

26 

33 

6042 

6t42 

6242 

6342 

6442 

6542 

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34 

1878 

1971 

2064 

2157 

225o 

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2  5 

34 

6642 

6742 

6842 

6943 

7043 

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25 

35 

2437 

253o 

2624 

2717 

2S10 

2904 

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35 

7243 

7344 

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7544 

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24 

36 

2997 

3090 

3i84 

3277 

3371 

3464 

23 

36 

7845 

7946 

8o46 

8147 

8247 

8348 

23 

37 

3558 

365i 

3745 

3838 

3932 

4025 

22 

37 

8448 

8549 

8649 

8750 

885o 

8951 

22 

38 

4119 

42i3 

43o6 

44oo 

4494 

4587 

2  1 

38 

9052 

9i52 

9253 

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9454 

9555 

21 

39 

4681 

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20 

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3298 

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8633 

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3907 

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9201 

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54 

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3476 

3572 

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54 

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9018 

9121 

9224 

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3763 

3858 

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4o49 

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4240 

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55 

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9532 

9635 

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i 

60"     50"  1  40" 

30" 

1  20" 

10" 

60" 

50" 

40" 

30" 

20" 

10" 

Co-tangent  of  13  Degree 

s. 

Co-tangent  of  12  Degrees. 

P. 

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'  3" 

28 

4"  ; 

37  4 

>"  6 
6  5( 

'  7" 
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8" 
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4" 
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5"  6' 

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'  7" 
1  70 

8" 
80 

102 


LoGAKiTiiMic   Sines. 


a 

Sibe  of  '?0  Degrees. 

s 

Sine  of  79  Degrees. 

^                   r ■ : 1 1 

- 

0" 

10" 

^91 

3Q" 

40" 

50" 

0" 

10" 

20" 

1  30" 

40"  1  50" 

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o4i3 

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0427 

59 

0 

9.991947 

1951 

1955 

1959 

1963 

1967 

59 

I 

d43i 

o43o 

o44o 

0445 

0449 

0454 

58 

I 

1971 

1975 

1979 

1983 

1987 

1992 

58 

2 

o45S 

0462 

0467 

0471 

0476 

o48o 

57 

2 

1996 

2000 

2004 

2008 

2012 

20l6 

57 

3 

o485 

0489 

0494 

0498 

o5o3 

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56 

3 

2020 

2024 

2028 

2o32 

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4 

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4 

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2069 

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22 

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33 

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57 

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2 

57 

3284 

3288 

3292 

3296 

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2 

58 

1897 

1901 

1906 

1910 

1914 

1918 

I 

58 

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33ii 

33i4 

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59 

1922 

1926 

1930 

1934 

1938 

1942 

0 

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3329 

3333 

3337 

3340 

3344 

3348 

0 

GO" 

50" 

40" 

30" 

20" 

10" 

60" 

50" 

40" 

30" 

20" 

10" 

a 

Co-sine  of  11  Degrees, 

Co-sine  of  10  Degrees. 

P.P 

„,  i  1"  2"  3"  4"  5"  6"  7"  8"  9" 

P  Parti  1"  2"  3"  4"  5"  6"  7"  8"  9" 
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<01   1   22   333   4 

L  0  G  A  ]i  IT  H  M  1  C  ' 

r  A  M  G  E  N  T  S. 

1U3 

1 

1 

1  .s 

Tangent  of  78  Degrees. 

d 

Tangent  of  79  Degrees. 

1 

s 

0" 

10" 

20" 

30" 

40" 

50" 

0" 

10" 

30" 

30" 

40" 

50" 

0 

10.672525 

2629 

2733 

2836 

2940 

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59 

0 

10.71 1 348 

1 460 

1573 

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4497 

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3714 

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5225 

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5 

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5 

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4846 

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5072 

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53 

6 

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7 

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6320 

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7626 

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7230 

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2570 

2676 

2782 

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2266 

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2496 

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2726 

2841 

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17 

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33ii 

3417 

3523 

3629 

3735 

42 

17 

2957 

3072 

3187 

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3418 

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18 

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3947 

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5966 

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5847 

5963 

6079 

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22 

6392 

6499 

6606 

6712 

6819 

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37 

22 

6427 

6543 

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6775 

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37 

23 

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32 

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33 

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4271 

4389 

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26 

34 

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4239 

4348 

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4565 

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25 

34 

4862 

4980 

5098 

5217 

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25 

35 

4782 

4890 

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5io7 

5216 

5325 

24 

35 

5572 

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5433 

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5868 

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6639 

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6739 

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7066 

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39 

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20 

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9018 

20 

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8049 

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19 

40 

9137 

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18 

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9581 

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7764 

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54 

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55 

10.750002 

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56 

8881 

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58 

2206 

2329 

2452 

2574 

2697 

2820 

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59 

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1235 

0 

59 

2943 

3o66 

3189 

33i2 

3435 

3558 

0 

e 

5 

P 

60" 

50" 

40" 

30" 

20" 

10" 

s 

60"    1  50" 

40" 

30" 

20" 

10" 

Co-tangent  of  11  Degrees. 

Cotangent  of  10  Degrees. 

(1"  3"  3"  4"  5"  6"  7"  8"  9" 
■^"'^'1  n    22  32  43  54  65  75  86  97 

P 

(  1"  2"  3"  4"  5"  6"  7"  8" 
• '  "'^  i  12  23  35  47  59  70  82  94  1 

9" 
06 

104 

Logarithmic  Sines. 

o 

Sine  of  80  Degrees. 

.S 

Sine  of  81  Degrees. 

0" 

10" 

20"  1  30" 
3359I3363 

40" 

so" 

0" 

10" 

20" 

30" 

40" 

50" 

9.993351 

3355 

3366  3370 

59 

0 

9.994620 

462  3 

4627 

463o 

4633 

4637 

59 

I 

33743377 

338i:'3385 

3389 

3392 

58 

I 

464o 

4643 

4647 

465o 

4653 

4657 

58 

2 

3396  34oo 

34o3 

3407 

341 1 

34i4 

57 

2 

4660 

4663 

4667 

4670 

4673 

4676 

57 

3 

3418 

3422 

3426 

3429 

3433 

3437 

56 

3 

4680 

4683 

4686 

4690 

4693 

4696 

56 

4 

3440 

3444 

3448 

345i 

3455 

3459 

55 

4 

4700 

4703 

4706 

4710 

4713 

4716 

55 

5 

3462 

3466 

3470 

3473 

3477 

3481 

54 

5 

4720 

4723 

4726 

4729 

4733 

4736 

54 

6 

3484 

3488 

3492 

3495 

3499 

35o3 

53 

6 

4739 

4743 

4746 

4749 

4752 

4756 

53 

7 

35o6 

35io 

35 1 4 

35 1 7 

3521 

3525 

52 

7 

4759 

4762 

4766 

4769 

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4776 

52 

8 

3528 

3532 

3536 

3539 

3543 

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8 

4779 

4782 

4785 

4789 

4792 

4795 

5i 

9 

355o 

3554 

3558 

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3565 

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9 

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3583 

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9.994818 

4821 

4825 

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3598 

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36o5 

3609 

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48 

1 1 

4838 

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4844 

4848 

485i 

4854 

48 

12 

36i6 

3620 

3623 

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363i 

3634 

47 

12 

4857 

486i 

4864 

4867 

4870 

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3638 

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3649 

3652 

3656 

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4877 

488o 

4883 

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366o 

3663 

3667 

3670 

3674 

3678 

45 

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4896 

4900 

4903 

4906 

4909 

4913 

45 

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368 1 

3685 

3689 

3692 

3696 

3699 

44 

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4916 

4919 

4922 

4926 

4929 

4932 

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3703 

3707 

3710 

3714 

3717 

3721 

43 

16 

4935 

4938 

4942 

4945 

4948 

4951 

43 

17 

3725 

3728 

3732 

3735 

3739 

3743 

42 

17 

4955 

4958 

4961 

4964 

4968 

4971 

42 

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3746 

3750 

3753 

3757 

3761 

3764 

4i 

18 

4974 

4977 

4980 

4984 

4987 

4990 

4i 

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3768 

3771 

3775 

3779 

3782 

3786 

4o 

19 

4993 

4997 

5ooo 

5oo3 

5oo6 

6009 

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20 

9.993789 

3793 

3797 

38oo 

38o4 

3807 

39 

20 

9.995013 

5oi6 

5oi9 

5022 

5o25 

5o29 

39 

21 

38ii 

38i4 

38i8 

3822 

3825 

3829 

38 

21 

5o32 

5o35 

5o38 

5o4i 

5o45 

5o48 

38 

22 

3832 

3836 

384o 

3843 

3847 

385o 

37 

22 

5o5i 

5o54 

5o57 

5o6i 

5o64 

5067 

37 

23 

3854 

3857 

386 1 

3864 

3868 

3872 

36 

23 

5070 

5073 

5o77 

5o8o 

5o83 

5o86 

36 

24 

3875 

3879 

3882 

3886 

3889 

3893 

35 

24 

5089 

5092 

5096 

5o99 

5 1 02 

5io5 

35 

25 

3897 

3900 

3904 

3907 

3911 

3914 

34 

25 

5io8 

5i  12 

5ii5 

5ii8 

5l2I 

5 1 24 

34 

26 

3918 

3921 

3925 

3928 

3932 

3936 

33 

26 

6127 

5i3i 

5i34 

5i37 

5i4o 

5 1 43 

33 

27 

3939 

3943 

3946 

3950 

3953 

3957 

32 

27 

5i46 

5i5o 

5i53 

5i56 

5 1 59 

5i62 

32 

28 

3c)6o 

3964 

3967 

3971 

3974 

3978 

3i 

28 

5i65 

5169 

5j72 

5175 

5178 

5i8i 

3i 

29 

3982 

3985 

3989 

3992 

3996 

3999 

3o 

29 

5i84 

5i88 

5191 

5194 

5197 

5200 

3o 

3o 

9.994003 

4oo6 

4oio 

4oi3 

4017 

4020 

29 

3o 

g. 995203 

6206 

5210 

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59 

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4607 

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59 

5735 

5738 

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5744;5747 

5750 

0 

60" 

50" 

40" 

30" 

so- 

10" 

60" 

50" 

40" 

30"  1  20" 

10" 

Co-sine  of  9  Degrees. 

Co-sine  of  8  Degrees. 

P.l 

,„,  i  1"  2"  3"  4"  5"  6"  7"  8" 
(01112223 

9" 
3 

p  p^  .  j  1"  2"  3"  4"  5"  6'  r  8"  9" 
t-.l-art-JQ  1112   2   2   3   3 

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L  0  G  A  K  I  T  U  M  I  C 

Tangents. 

105 

a 

Tangent  of  80  Degrees. 

s 

Tangent  of  81  Degrees. 

59 

0" 

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Co-tangent  of  9  Degrees. 

Co-tangent  of  8  Degrees. 

P. 

p  Ml"  2"   8"  4"  5"  6"  7"  8"  9" 
^""■^  13  26  39  52  60  78  91  103  116 

P. 

(  1"  2"  3"  4 '  5"  6"  7"  8"  9" 
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106 


Logarithmic   Sines. 


6 

Sine  of  82  Dej^rees. 

.5 

Sine  of  83  Degrees, 

. 1 1 i i 1 

0" 

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1  20" 

30" 

40" 

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9.996269 

6271 

6274 

6277 

6280 

6282 

29 

3o 

9.  997199 

7202 

7204 

7206 

7209 

721 1 

29 

3i 

6285 

628S 

6291 

6293 

6296 

6299 

28 

3i 

72x4 

72x6 

72x8 

7221 

7223 

7226 

28 

32 

63o2 

63o5 

63o7 

63io 

63i3 

63x6 

27 

32 

7228 

723o 

7233 

7235 

7238 

7240 

27 

33 

63i8 

6321 

6324 

6327 

6329 

6332 

26 

33 

7242 

7245 

7247 

7249 

7252 

7254 

26 

34 

6335 

6338 

634o 

6343 

6346 

6349 

25 

34 

7257 

7259 

7261 

7264 

7266 

7268 

25 

35 

635i 

6354 

6357 

6359 

6362 

6365 

24 

35 

727X 

7273 

7276 

7278 

7280 

7283 

24 

36 

6368 

6370 

6373 

6376 

6379 

638i 

23 

36 

7285 

7287 

7290 

7292 

7294 

7297 

23 

37 

6384 

6387 

6390 

6392 

6395 

6398 

22 

37 

7299 

7301 

73o4 

7306 

7309 

73xx 

22 

38 

64oo 

64o3 

64o6 

6409 

64x1 

64x4 

21 

38 

73x3 

73x6 

73x8 

7320 

7323 

7325 

21 

39 

64i7 

6419 

6422 

6425 

6428 

643o 

20 

39 

7327 

7330 

7332 

7334 

7337 

7339 

20 

40 

9.996433 

6436 

6438 

644 1 

6444 

6447 

19 

4o 

9-997341 

7344 

7346 

7348 

735x 

7353 

19 

4i 

6449 

6452 

6455 

6457 

646o 

6463 

18 

4i 

7355 

7358 

7360 

7362 

7365 

7367 

x8 

42 

6465 

6468 

6471 

6474 

6476 

6479 

17 

42 

7369 

7372 

7374 

7376 

7379 

738x 

17 

43 

6482 

6484 

6487 

6490 

6492 

6495 

16 

43 

7383 

7386 

7388 

7390 

7393 

7395 

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44 

6498 

65oo 

65o3 

65o6 

65o8 

65xx 

i5 

44 

7397 

7399 

7402 

74o4 

7406 

7409 

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45 

65i4 

65i7 

65i9 

6522 

6525 

6527 

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45 

741 X 

74i3 

74x6 

74i8 

7420 

7423 

i4 

46 

653o 

6533 

6535 

6538 

654x 

6543 

i3 

46 

7425 

7427 

7429 

7432 

7434 

7436 

i3 

47 

6546 

6549 

655i 

6554 

6557 

6559 

X2 

47 

7439 

744 1 

7443 

7445 

7448 

7450 

X2 

48 

6562 

6565 

6567 

6570 

6573 

6575 

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48 

7452 

7455 

7457 

7459 

7461 

7464 

XI 

49 

6578 

658o 

6583 

6586 

6588 

6591 

10 

49 

7466 

7468 

747' 

7473 

7475 

7477 

ID 

5o 

9.996594 

6596 

6699 

6602 

66o4 

6607 

9 

5o 

9.997480 

7482 

7484 

7487 

7489 

7491 

9 

5i 

6Q10 

6612 

66i5 

6618 

6620 

6623 

8 

5i 

7493 

7496 

7498 

7500 

7502 

75o5 

8 

52 

6625 

6628 

663i 

6633 

6636 

6639 

7 

52 

7507 

7509 

75i  I 

75x4 

75x6 

75x8 

7 

53 

664i 

6644 

6646 

6649 

6652 

6654 

6 

53 

7520 

7523 

7525 

7527 

7530 

7532 

6 

54 

6657 

6660 

6662 

6665 

6667 

6670 

5 

54 

7534 

7536 

7539 

7541 

7543 

7545 

5 

55 

6673 

6675 

6678 

6681 

6683 

6686 

4 

55 

7547 

755o 

7552 

7554 

7556 

7559 

4 

56 

6688 

6691 

6694 

6696 

6699 

6701 

3 

56 

7561 

7563 

7565 

7568 

7570 

7572 

3 

57 

6704 

6707 

6709 

6712 

6714 

6717 

2 

57 

7574 

7577 

7579 

7581 

7583 

7585 

2 

58 

6720 

6722 

6725 

6727 

6730 

6733 

I 

58 

7588 

7590 

7592 

7594 

7597 

7599 

I 

59 

6735 

6738 

674c 

6743 

6746 

6748 

0 

59 

7601 

7603 

7605 

7608 

7610 

76x2 

0 

60" 

50" 

40" 

30" 

20" 

10" 

S 

60" 

50" 

40" 

30" 

20" 

10' 

d 

Co-sine  of  Y  Degrees. 

Co-sine  of  6  Degi-ees. 

p. 

„„.  j  1"  2"  8"  4"  5"  6"  7"  8"  9" 

p 

p,  ,  j  1"  2"  3"  4"  5"'  6"  7"  8"  9" 
*^^^"  10  0  11112  2   2 

(011112222 

i.  • 

Logarithmic 

Tangents. 

107 

Tangent  of  82  Degrees. 

ii 

Tangent  of  83  Degrees. 

0"    1  10" 

20" 

30" 

40" 

SO" 

0" 

10" 

20" 

30" 

40" 

50" 

o 

lo. 852197 

235o 

25o3 

2656 

2809 

2962 

59 

0 

10.910856 

1080 

I205 

1879 

i553 

1727 

2775 

59 

58 

I 

3ii5 

3268 

3421 

3575 

3728 

388i 

58 

I 

1902 

2076 

225l 

2426 

2600 

2 

4o34 

4i88 

4341 

4495 

4649 

4802 

57 

2 

2950 

3 1 25 

83oo 

3475 

865o 

3825 

57 
56 

3 

4956 

5iio 

5263 

5417 

5571 

5725 

56 

3 

4ooo 

4176 

435i 

4527 

4702 

4878 

4 

5879 

6o33 

6187 

634i 

6496 

665o 

55 

4 

5o53 

5229 

54o5 

558i 

5757 

5988 

55 

5 

6804 

6958 

7ii3 

7267 

7422 

7576 

54 

5 

6109 

6285 

646i 

6638 

6814 

6990 
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54 

6 

773i 

7886 

8o4i 

8195 

835o 

85o5 

53 

6 

7167 

7343 

7520 

7697 

7874 

53 

7 

8660 

88i5 

8970 

9125 

9280 

9436 

52 

7 

8227 

84o4 

858i 

8759 

8986 

9118 

52 

8 

9591 

9746 

9902 

..57 

.212 

.368 

5i 

8 

9290 

9468 

9645 

9828 

•  •  •  • 

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5i 

9 

io.86o524 

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9 

10.920356 

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0712 

0890 

1068 

1246 

5o 

10 

i458 

1614 

1770 

1926 

2082 

2239 

49 

lO 

1424 

1602 

1781 

1959 

2188 

2816 

49 

1 1 

2395 

255i 

2708 

2864 

3o20 

3177 

48 

1 1 

2495 

2678 

2852 

3o8i 

3210 

3389 

48 

12 

3333 

3490 

3647 

38o3 

3960 

4i  17 

47 

12 

3568 

3747 

8926 

4io5 

4285 

4464 

47 

i3 

4274 

443i 

4588 

4745 

4902 

5o59 

46 

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4644 

4828 

5oo3 

5i83 

5362 

5542 

46 

i4 

5216 

5374 

553i 

5688 

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6oo3 

45 

i4 

5722 

5902 

6082 

6262 

6442 

6628 

45 

i5 

6161 

63i9 

6476 

6634 

6792 

6950 

44 

i5 

68o3 

6984 

7164 

7345 

7525 

7706 

44 

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7107 

7265 

7423 

758i 

7739 

7898 

43 

16 

7887 

8068 

8249 

843o 

8611 

8792 

43 

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8o56 

8214 

8372 

853i 

8689 

8848 

42 

17 

8973 

9154 

9886 

9517 

9699 

9880 

42 

i8 

9006 

9165 

9324 

9482 

9641 

9800 

4i 

18 

10.980062 

0244 

0425 

0607 

07S9 

0971 

4i 

'9 

9959 

.118 

.277 

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.595 

.754 

4o 

19 

ii54 

1886 

i5i8 

1700 

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2o65 

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20 

10.870913 

1072 

1232 

1391 

i55i 

1710 

39 

20 

2248 

2480 

2618 

2796 

2979 

8162 

39 

21 

1870 

2029 

2189 

2349 

25o8 

2668 

38 

21 

3345 

3528 

871 1 

8894 

4078 

4261 

38 

22 

2828 

2988 

3i48 

33o8 

3468 

3629 

37 

22 

4444 

4628 

48i2 

4995 

5179 

5363 

37 

23 

3789 

3949 

4109 

4270 

443o 

4591 

36 

23 

5547 

5781 

5915 

6099 

6283 

6467 

86 

24 

4751 

4912 

5073 

5234 

5394 

5555 

35 

24 

6652 

6836 

7021 

72o5 

7890 

7575 

35 

25 

5716 

5877 

6o38 

6199 

636o 

6522 

34 

25 

7760 

7945 

8180 

88i5 

85oo 

8685 

34 

•26 

6683 

6844 

7006 

7167 

7329 

7490 

33 

26 

8870 

9o56 

9241 

9427 

9612 

9798 

33 

27 

7652 

7813 

7975 

8137 

8299 

846i 

32 

27 

9984 

.  169 

.355 

.541 

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.914 

82 

28 

8623 

8785 

8947 

9109 

9271 

9433 

3 1 

28 

10.941100 

1286 

1472 

1659 

1845 

2082 

3i 

29 

9596 

9758 

9921 

..83 

.246 

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3o 

29 

2219 

2406 

2592 

2779 

2966 

3i53 

3o 

3o 

10.880571 

0734 

0896 

1059 

1222 

i385 

29 

3o 

834i 

3528 

8715 

8902 

4090 

4277 

29 

3i 

i548 

171  T 

1874 

2o38 

2201 

2364 

28 

3i 

4465 

4653 

484i 

5o28 

5216 

54o4 

28 

32 

2528 

2691 

2855 

3oi8 

3i82 

3345 

27 

32 

5593 

5781 

5969 

6157 

6346 

6534 

27 

33 

3509 

3673 

3837 

4ooi 

4i65 

4329 

26 

33 

6723 

6912 

7100 

7289 

7478 

7667 

26 

34 

4493 

4657 

4821 

4985 

5i5o 

53r4 

25 

34 

7856 

8045 

8234 

8424 

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25 

35 

5479 

5643 

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6187 

63o2 

24 

35 

8992 

9182 

9871 

9561 

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24 

36 

6467 

6632 

6796 

6961 

7127 

7292 

23 

36 

10.950181 

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28 

37 

7457 

7622 

7787 

7953 

8118 

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22 

37 

1278 

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1 654 

1845 

2086 

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22 

38 

8449 

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8946 

91 12 

9278 

21 

38 

24i8 

2609 

2800 

2991 

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21 

39 

9444 

9610 

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9942 

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20 

39 

8566 

3757 

8949 

4i4i 

4332 

4524 

20 

4o 

10.890441 

0607 

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1 106 

1273 

19 

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4716 

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5ioi 

5293 

5485 

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19 

4i 

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1606 

1773 

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2107 

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18 

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6255 

6448 

664 1 

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18 

42 

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2608 

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3 1 10 

3277 

17 

42 

7027 

7220 

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7800 

7998 

17 

43 

3444 

36i2 

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43 

8187 

8880 

8574 

8768 

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16 

44 

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46 1 8 

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5 1 22 

5290 

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44 

9849 

9544 

9738 

9982 

.  126 

.821 

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45 

5458 

5626 

5795 

5963 

6i3i 

63oo 

i4 

45 

10.960515 

0710 

0905 

1099 

1294 

1489 

i4 

46 

6468 

6637 

6806 

6974 

7143 

7812 

i3 

46 

1684 

1879 

2074 

2270 

2465 

2661 

i3 

47 

748  r 

7650 

7819 

7988 

8i57 

8326 

12 

47 

2856 

3o52 

8247 

8443 

8689 

3835 

12 

48 

8496 

8665 

8834 

9004 

9173 

9343 

1 1 

48 

4o3i 

4227 

4424 

4620 

48i6 

5oi8 

1 1 

49 

95 1 3 

9683 

9852 

.  .22 

.  192 

.362 

10 

49 

5209 

5406 

56o3 

58oo 

5997 

6194 

10 

5o 

10.900532 

0702 

0873 

io43 

I2l3 

1 384 

9 

5o 

6891 

6588 

6785 

6988 

7180 

7377 

9 

5i 

i554 

1724 

1895 

2066 

2236 

2407 

8 

5i 

7575 

7778 

7971 

8169 

8867 

8565 

8 

52 

2578 

2749 

2920 

309  r 

3262 

3433 

7 

52 

8768 

8961 

9159 

9358 

9556 

9755 

7 

53 

36o5 

3776 

3947 

4119 

4290 

4462 

6 

53 

9954 

.l52 

.85i 

.55o 

•749 

.948 

6 

54 

4633 

48o5 

4977 

5i49 

5320 

5492 

5 

54 

10.971148 

i347 

i546 

1746 

1945 

2145 

5 

55 

5664 

5837 

6009 

6181 

6353 

6526 

4 

55 

2345 

2545 

2745 

2945 

8145 

3345 

4 

56 

6698 

687J 

7043 

7216 

7888 

7561 

3 

56 

3545 

3746 

8946 

4i47 

4347 

4548 

3 

57 

7734 

7907 

8080 

8253 

8426 

8599 

2 

57 

4749 

4950 

5i5i 

5852 

5553 

5755 

2 

58 

8772 

8946 

9119 

9292 

9466 

9639 

I 

58 

5956 

6i57 

6359656116762 

6964 

1 

59 

9813 

9987 

.161 

.334 

.5o8 

.682 

0 

59 

7166 

7868 

7570|7773i7975 

8177 

0 

d 

60" 

50" 

40" 

30" 

SO- 

10" 

s 

60" 

50" 

40"  1  30"  1  20" 

10" 

Co-tangent  of  7  Degrees. 

Co-tangent  of  6  Degrees. 

P. 

„   (1"  2"  3"  4"    5"  6"  7"  8"  9" 
^^"'(16  33  49  65  81  98  114  130  146 

„  „  J  1"  2'  3"  4"  5"  6 '  7"  8"  9" 
r.  fart  ^  jg  g^  56  75  94  112  131150  168 

108 


Logarithmic   Sines. 


Sine  of  84  Degrees. 

- 

.5 

{     Sine  of  85  Deejrees. 

0" 

10" 

_20^ 

30" 

40" 

50" 

1    0"    1  10" 

20" 

30" 

40"   50" 

0 

9.99761^ 

1761^ 

]  761^ 

,7621 

762:: 

7625 

59 

0 

'9.998344|»346 

8348 

835o 

8352  8353 

59 

I 

762!: 

J763r 

)  763^ 

7634 

763e 

7639 

58 

I 

8355 

8357 

8359 

836i 

8363 

8364 

58 

2 

7641 

7642 

7645 

7647 

g^bc 

7652 

57 

2 

8366 

8368 

8370 

8372 

8374 

8375 

57 

3 

765/ 

765e 

7658 

7661 

7663 

7665 

56 

3 

8377 

8379 

838i 

8383 

8385 

8386 

56 

4 

766^ 

7669 

7672 

7674 

7676 

7678 

55 

4 

8388 

8390 

8392 

8394 

8395 

8397 

55 

5 

768c 

.  7682 

7685 

7687 

7689 

7691 

54 

5 

8399 

84oi 

84o3 

84o4 

84o6 

84o8 

54 

6 

7693 

7696 

7698 

7700 

7702 

7704 

53 

6 

84io 

84i2 

84i3 

84i5 

84i7 

8419 

53 

7 

770C 

7709 

77" 

7713 

77i5 

7717 

52 

7 

842  1 

8422 

8424 

8426 

8428 

843o 

52 

8 

7719 

7722 

7724 

7726 

7728 

7730 

5i 

8 

843i 

8433 

8435 

8437 

8439 

844o 

5i 

9 

7732 

7735 

7737 

7739 

7741 

7743 

5o 

9 

8442 

8444 

8446 

8448 

8449 

845i 

5o 

10 

9.997745 

7747 

7750 

7752 

7754 

7756 

49 

10 

9.998453 

8455 

8456 

8458 

846o 

8462 

49 

1 1 

7758 

7760 

7762 

7765 

7767 

7769 

48 

II 

8464 

8465 

8467 

8469 

8471 

8472 

48 

12 

7771 

7773 

7775 

7777 

7780 

7782 

47 

12 

8474 

8476 

8478 

8479 

848i 

8483 

47 

i3 

7784 

7786 

7788 

7790 

7792 

7794 

46 

i3 

8485 

8487 

8488 

8490 

8492 

8494 

46 

i4 

7797 

7799 

7801 

7803 

7805 

7807 

45 

i4 

8495 

8497 

8499 

85oi 

85o2 

85o4 

45 

i5 

7809 

781. 

7814 

7816 

7818 

7820 

44 

i5 

85o6 

85o8 

85o9 

85ii 

85x3 

85i5 

44 

i6 

7S22 

7824 

7826 

7828 

7830 

7833 

43 

16 

85i6 

85i8 

8520 

8522 

8523 

8525 

43 

17 

7835 

7837 

7839 

7841 

7843 

7845 

42 

17 

8527 

8529 

853o 

8532 

8534 

8535 

42 

i8 

7847 

7849 

7852 

7854 

7856 

7858 

4i 

18 

8537 

8539 

854i 

8542 

8544 

8546 

4i 

'9 

7860 

7862 

7864 

7866 

7868 

7870 

4o 

J9 

8548 

8549 

855i 

8553 

8554 

8556 

4o 

20 

9.997872 

7875 

7877 

7«79 

7881 

7883 

39 

20 

9.998558 

856o 

856i 

8563 

8565 

8566 

39 

21 

7885 

7887 

7889 

7891 

7893 

7895 

38 

21 

8568 

8570 

8572 

8573 

8575 

8577 

38 

22 

7897 

7900 

7902 

7904 

7906 

7908 

37 

22 

8578 

858o 

8582 

8584 

8585 

8587 

37 

23 

7910 

7912 

7914 

7916 

7918 

7920 

36 

23 

8589 

8590 

8592 

8594 

8595 

8597 

36 

24 

7922 

7924 

7926 

7929 

7931 

7933 

35 

24 

8599 

8601 

8602 

86o4 

8606 

8607 

35 

25 

7935 

7937 

7939 

7941 

7943 

7945 

34 

25 

8609 

8611 

8612 

86i4 

8616 

8617 

34 

2G 

7947 

7949 

7951 

7953 

7955 

7957 

33 

26 

8619 

8621 

8622 

8624 

8626 

8627 

33 

27 

7959 

7961 

7963 

7965 

7967 

7970 

32 

27 

8629 

863i 

8633 

8634 

8636 

8638 

32 

28 

7972 

7974 

7976 

7978 

7980 

7982 

3i 

28 

8639 

864 1 

8643 

8644 

8646 

8648 

3i 

29 

7984 

7986 

7988 

7990 

7992 

7994 

3o 

29 

8649 

865i 

8653 

8654 

8656 

8657 

3o 

3o 

9.997996 

7998 

8000 

8002 

8004 

8006 

29 

3o 

9.998659 

8661 

8662 

8664 

8666 

8667 

29 

3i 

8008 

8010 

8012 

80 1 4 

8016 

8018 

28 

3i 

8669 

8671 

8672 

8674 

8676 

8677 

28 

32 

8020 

8022 

8024 

8026 

8028 

8o3o 

27 

32 

8679 

8681 

8682 

8684 

8686 

8687 

27 

33 

8o32 

8o34 

8o36 

8o38 

8o4o 

8042 

26 

33 

8689 

8690 

8692 

8694 

8695 

8697 

26 

34 

8o44 

8o46 

8o48 

8o5o 

8o52 

8o54 

25 

34 

8699 

8700 

8702 

8704 

8705 

8707 

25 

35 

8o56 

8o58 

8060 

8062 

8064 

8066 

24 

35 

8708 

8710 

8712 

8713 

8715 

8717 

24 

36 

8068 

8070 

8072 

8074 

8076 

8078 

23 

36 

8718 

8720 

8721 

8723 

8725 

8726 

23 

37 

8080 

8082 

8084 

8086 

8088 

8090 

22 

37 

8728 

8729 

8731 

8733 

8734 

8736 

22 

38 

8092 

8094 

8096 

8098 

8100 

8102 

21 

38 

8738 

8739 

8741 

8742 

8744 

8746 

21 

39 

8io4 

8106 

8108 

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8112 

81 14 

20 

39 

8747 

8749 

8750 

8752 

8754 

8755 

20 

4o 

9.9981 16 

8118 

8120 

8122 

8124 

8126 

19 

4o 

9.998757 

8758 

8760 

8762 

8763 

8765 

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4i 

8128 

8i3o 

8i3i 

8i33 

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18 

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8768 

8769 

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8773 

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18 

42 

8139 

8i4i 

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8145 

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42 

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8779 

8781 

8782 

8784 

17 

43 

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8i53 

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8161 

16 

43 

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8788 

8790 

8792 

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16 

44 

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8i65 

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8168 

8170 

8172 

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8798 

8799 

8801 

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8174 

8176 

8178 

8180 

8182 

8i84 

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45 

8804 

8806 

8807 

8809 

8810 

8812 

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46 

8186 

8188 

8190 

8192 

8194 

8195 

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46 

88 1^3 

88i5 

8817 

8818 

8820 

8821 

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47 

8.97 

8199 

8201 

8203 

82o5 

8207 

12 

47 

8823 

8824 

8826 

8827 

8829 

883i 

12 

48 

8209 

8211 

8213 

8215 

8217 

8218 

II 

48 

8832 

8834 

8835 

8837 

8838 

884o 

1 1 

49 

8220 

8222 

8224 

8226 

8228 

823o 

10 

49 

884i 

8843 

8844 

8846 

8848 

8849 

10 

5o 

9.998232 

8234 

8236 

8238 

8239 

8241 

9 

5o 

9.998851 

8852 

8854 

8855 

S857 

8858 

9 

5i 

8243 

8245 

8247 

8249 

825i 

8253 

8 

5i 

8860 

8861 

8863 

8864 

8866 

8867 

8 

52 

8255 

8257 

8258 

8260 

8262 

8264 

7 

52 

8869 

8870 

8872 

8873 

8875 

8877 

7 

53 

8266 

8268 

8270 

8272 

8273 

8275 

6 

53 

8878 

8880 

8881 

8883 

8884 

8886 

6 

54 

r  r 

8277 

8279 

8281 

8283 

8285 

8287 

5 

54 

8887 

3889 

8890 

8892 

S893 

8895 

5 

55 

8289 

8290 

8292 

8294 

8296 

8298 

4 

55 

8896 

3898 

8899 

8901 

8902 

8904 

4 

56 

83oo 

83o2 

83o3 

83o5 

83o7 

83o9 

3 

56 

8905 

S907 

8908 

8910 

8911 

8913 

3 

57 

r  /-, 

83ii 

83i3 

83i5 

83i6 

83i8 

8320 

2 

57 

8914 

S916 

8917 

8919 

8920 

8922 

2 

58 

8322 

8324 

8326 

8328 

8329 

833i 

I 

58 

8923 

S925 

8926 

8927 

8929 

8930 

I 

59 

8333 

8335 

8337 

8339 

834i 

8342 

0 

59 

8932 

S933 

S935 

8936 

8938 

8939 

0 

60" 

50" 

40" 

30" 

20" 

10" 

60" 

50" 

40" 

30" 

20"  1 

10" 

Co-sine  of  5  Dea^rees. 

Co-sine  of  4  Degrees. 

P.P 

„.  i  1"  2"  3"  4"  5"  6"  7"  8"  9" 
lo  0   1   1   1   1   12   2 

p  Parf  i  1"  2"  3"  4"  5"  6"  7"  8"  9" 
^-  *^^"  /  0  0  0  1   1   1  1  1   1 

LOGAKITHMIC     TaNGENTS. 


lUl) 


Tangent  of  84  Degrees. 

S 

Tangent  of  85  Degrees. 

0" 

10" 

20" 

3u"   40"  1  50" 

0" 

10"  1 

20" 

30" 

40" 

50" 

o 

10.9783S0 

8582 

8785 

8988  9191I 

9394, 

59 

0 

1 1  .o58o48  8291 

8533 

8776 

9019' 

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59 

I 

9597 

9800 

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.206 

.410 

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58 

I 

9506  9749 

9993 

.236 

.480 

.724 

58 

2 

10.980817 

1021 

1224 

1428 

1 632 

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57 

2 

1 1  .060968 

1 2 1 2 

i456 

1701 

1945 

2190 

57 

3 

2o4l 

2245 

2449 

2654 

2858 

3o63 

56 

3 

2435 

2680 

2925 

3170 

3416 

366i 

56 

4 

3268 

3472 

3677 

3882 

4087 

4293 

55 

4 

3907 

4i53 

4399 

4645 

4891 

5 1 38 

55 

5 

4498 

4703 

4909 

5i  i4 

5320 

5526 

54 

5 

5384 

563i 

5877 

6124 

6371 

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54 

6 

5732 

5938 

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6556 

6763 

53 

6 

6866 

71 13 

7361 

7609 

7857 

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53 

7 

6969 

7176 

7382 

7589 

7796 

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52 

7 

8353 

8601 

885o 

9098 

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9596 

52 

8 

8210 

8417 

8624 

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9039 

9246 

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8 

9845 

.  .94 

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.593 

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1092 

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9 

9454 

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9869 

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9 

1 1 .071342 

1592 

1842 

2092 

2343 

2593 

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lO 

10.990702 

0910 

II 18 

1 327 

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1744 

49 

10 

2844 

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3346 

3597 

3848 

4 100 

49 

1 1 

1953 

2162 

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2998 

48 

II 

435i 

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48 

12 

3208 

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3627 

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47 

12 

5864 

6m6 

6369 

6622 

6875 

7128 

47 

i3 

4466 

4676 

4886 

5096 

5307 

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46 

i3 

7381 

7635 

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8i42 

8396 

865o 

46 

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5728 

5939 

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6571 

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8904 

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9668 

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6993 

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44 

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1 1 .080432 

0688 

0943 

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1710 

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8262 

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9323 

43 

16 

1966 

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9748 

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42 

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4019 

4276 

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1 1 .000812 

102  5 

1238 

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i665 

1878 

4i 

18 

5o49 

5307 

5565 

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6  340 

4i 

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2092 

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2733 

2947 

3i6i 

4o 

19 

6599 

6858 

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7376 

7635 

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20 

3376 

3590 

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4019 

4234 

4448 

39 

20 

8i54 

84i4 

8674 

8934 

9194 

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39 

21 

4663 

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5524 

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38 

21 

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9975 

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38 

22 

5955 

6170 

6386 

6602 

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22 

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3378 

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24 

8549 

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8982 

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24 

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4694 

4957 

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5485  5749 

35 

2  5 

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34 

25 

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34 

26 

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1376 

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2o3i 

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33 

26 

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8931 

33 

27 

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2687 

2906 

3i25 

3344 

3563 

32 

27 

9197 

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9730 

9996 

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32 

28 

3783 

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4222 

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4661 

488i 

3i 

28 

1 1 . 100797 

io65 

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I  600 

1868 

2i36 

3i 

29 

5ioi 

5321 

5541 

5762 

5982 

6202 

3o 

29 

24o4 

2672 

2940 

3209 

3478 

3747 

3o 

3o 

6423 

6644 

6865 

7086 

7307 

7528 

29 

3o 

4oi6 

4285 

4555 

4824 

5094 

5364 

29 

3i 

7749 

7971 

8192 

84i4 

8636 

8857 

28 

3i 

5634 

5904 

6175 

6445 

6716 

6987 

28 

32 

9079 

9301 

9524 

9746 

9968 

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27 

32 

7258 

7529 

7801 

8072 

8344 

8616 

27 

33 

1  I  .0204l4 

o636 

0859 

1082 

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26 

33 

8888 

9160 

9433 

9705 

9978 

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26 

34 

1752 

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2199 

2X22 

2646 

2870 

25 

34 

II .  I io524 

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1071 

1 345 

1618 

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25 

35 

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33i8 

3542 

3767 

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24 

35 

2167 

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2990 

3265 

3540 

24 

36 

4440 

4665 

4890 

5ii5 

5340 

5565 

23 

36 

38i5 

4090 

4366 

4642 

4917 

5193 

23 

37 

5791 

6016 

6242 

6468 

6693 

6919 

22 

37 

5470 

5746 

6023 

6299 

6576 

6853 

22 

38 

7145 

7372 

7598 

7824 

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8277 

21 

38 

7i3i 

7408 

7686 

7963 

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8520 

21 

39 

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8731 

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9412 

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20 

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2432 

2713 

2994 

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42 

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17 

42 

3838 

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4683 

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17 

43 

3981 

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4671 

4901 

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16 

43 

553i 

58i3 

6096 

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6663 

6946 

16 

44 

536i 

5592 

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6284 

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44 

7230 

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7798 

8082 

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45 

6745 

6977 

7208 

7439 

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45 

8936 

9221 

9506 

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46 

8i34 

8366 

8598 

883o 

9062 

9295 

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46 

1 1 . i3o649 

0935 

1221 

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1794 

2081 

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47 

9527 

9760 

9992 

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12 

47 

2368 

2656 

2943 

323  r 

35i8 

38o6 

12 

48 

II .040925 

ii58 

1391 

1625 

1859 

2092 

II 

48 

4094 

4383 

4671 

4960 

5249 

5538 

II 

49 

2326 

256i 

2795 

3029 

3264 

3498 

10 

49 

5827 

6117 

6407 

6697 

6987 

7277 

10 

5o 

3733 

3968 

42o3 

4438 

4673 

4908 

9 

5o 

7567 

7858 

8149 

8440 

8731 

9023 

9 

5i 

5i44 

5379 

56i5 

585i 

6087 

6323 

8 

5i 

93i4 

9606 

9898 

.  190 

.483 

.775 

8 

52 

6559 

/  7 

6795 

7032 

7268 

75o5 

7742 

7 

52 

1 1 . 1 4 1068 

i36i 

i654 

1947 

224' 

2535 

7 

53 

7979 

8216 

8453 

8691 

8928 

9166 

6 

53 

2829 

3i23 

3417 

3712 

4007 

43oi 

6 

54 

'7*7 

94o3 

9641 

9879 

.117 

.356 

.594 

5 

54 

4597 

4892 

5187 

5483 

5779 

6075 

5 

55 

11  .o5o832 

7  ^ 
IO7I 

i3io 

i549 

1788 

2027 

4 

55 

6372 

6668 

6965 

7262 

7559 

7856 

4 

56 

2266 

25o6 

2745 

2985 

3225 

3465 

3 

56 

8i54 

8452 

8750 

9048 

9346 

9645 

3 

57 

3705 

3945 

4i85 

4426 

4666 

4907 

2 

57 

9943 

.242 

.542 

.84i 

ii4i 

i44o 

2 

58 

5i48 

5389 
6837 

563o 

5871 

61 12 

6354 

I 

58 

11 .  i5i74o 

204l 

234i 

2642 

2942 

3243 

I 

5g 

6596 

7070 

7321 

7563 

7806 

0 

1 

59 

3545 

3846 

4i48 

4449 

4752 

5o54 

0 

60" 

1  50"   40" 

30"   20" 

10" 

60" 

50" 

40"  1  30" 

20" 

10" 

_d 

-1 

Co-tangent  of  5  Degrees. 

Co-tangent  of  4  Degrees. 

P. 

„   (  !'•  2'  3"  4"  5"  6"  7"  8"  9" 
^'"■'  ■(  22  44  66  88  110  132  154  177  199 

„  „  J  1"  2"  3"  4"  5"  6"  7"  8"  9" 
P.  Part  ^  27  54  81  108  135  162  188  215  242 

110 


LOGAKITHMIC     SiNES. 


s 

Sine  of  86  Degrees. 

- 

i 

Sine  of  87  Degrees. 

0" 

10" 

■Hd" 

8944 

30"  1  40" 

1  50" 

0" 

10" 

20"  j  30"  1  40" 

50" 

o 

9- 99^^94 1 

8942 

8945 

»947 

"8948 

59 

0 

9.999404 

9406 

9407  9408  9409 

9410 

59 

I 

8950 

8951 

8953 

8954 

^8955 

8957 

58 

I 

94 1 1 

I9412 

94i3  94i4!94i5 

9416 

58 

2 

8958 
8967 

8960 

8961 

8963 

8964 

8966 

57 

2 

9418 

9419 

942o'942i 

9422 

9423 

57 

3 

,8969 
8977 

8970 

8971 

'S973 

8974 

56 

3 

9424 

19425 

9426  9427 

9428 

943o 

56 

4 

8976 

8979 

8980 

,8982 

8983 

55 

4 

943i 

9432 

94339434 

9435 

9436 

55 

5 

89S4 

8986 

8987 

8989  8990 

8992 

54 

5 

9437 

9438 

943919440 

9441 

9442 

54 

6 

8993 

8995 

8996 

8997:8999 

9000 

53 

6 

9443 

9445 

9446  9447 

9448 

9449 

53 

7 

0002 

9003 

9005 

9006,9007 

9009 

52 

7 

9450 

945i 

9452  9453 

9454 

9455 

52 

8 

i 

9010 

9012 

9013 

9015  9016 

9017 

5i 

8 

9456  9457 

94589459 

9460 

9461 

5i 

9 

9019 

9020 

9022 

9023|9024 

9026 

5o 

9 

9463  9464 

9465  9466 

9467 

9468 

5o 

10 

9.999027 

9029 

9o3o 

9o32 

9033 

9034 

49 

10 

9.999469 

9470 

9471  9472 

9473 

9474 

49 

1 1 

9o36 

9037 

9039 

9040 

9041 

9o43[48 

1 1 

9475'9476 

94779478 

9479 

9480 

48 

12 

9044 

9046 

9047 

9048 

9o5o 

905 1 

47 

12 

9481  9482 

94839484 

9485 

9486 

47 

i3 

9053 

9054 

9055 

9057 

9o58 

9059 

46 

i3 

9487  9488 

9489  9490 

9491 

9492 

46 

>4 

9061 

9062 

9064 

9065 

9066 

9068 

45 

i4 

9493 

9495 

9496  9497 

9498 

9499 

45 

i5 

9069 

9071 

9072 

9073 

9075 

9076 

44 

i5 

9500 

95oi 

9502  95o3 

95o4 

95o5 

44 

i6 

9077 

9079 

9080 

9082 

9083 

9084 

43 

16 

9506 

9507 

95089509 

9510 

95ii 

43 

»7 

9086 

9087 

9088 

9090 

9091 

9092 

42 

17 

9512 

95i3 

95i4  95i5 

95i6 

9  ,7 

42 

i8 

9094 

9095 

9097 

9098 

9099 

9101 

4i 

18 

9518 

9519 

9520  9521 

9522 

9523 

4i 

'9 

9102 

9103 

9105 

9106 

9107 

9109 

40 

19 

9524 

9525 

9526  9527 

9527 

9528 

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20 

9.999110 

91 1 1 

91 13 

91 14 

91 15 

9117 

39 

20 

9.999529 

9530 

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9533 

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39 

21 

9118 

9120 

9121 

9122 

9124 

9125 

38 

21 

9535 

9536 

95379538 

9539 

9540 

3« 

22 

9126 

9128 

9129 

9i3o 

9i32 

9133 

37 

22 

9541 

9542 

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9545 

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37 

23 

9134 

9i36 

9137 

9i38 

9140 

9141 

36 

23 

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9548 

9549  9550 

9551 

9552 

36 

24 

9142 

9143 

9145 

9146 

9147 

9149 

35 

24 

9553 

9554 

95559556 

9557 

9557 

35 

25 

91  5o 

9i5i 

9i53 

9154 

9155 

9157 

34 

25 

9558 

9559 

9560  9561 

9562 

9563 

34 

26 

9i58 

9i5g 

9161 

9162 

9163 

9165 

33 

26 

9564 

9565 

9566  9567 

9568 

9569 

33 

27 

9166 

9167 

9168 

9170 

9171 

9172 

32 

27 

9570 

9571 

9572 

9573 

9573 

9574 

32 

28 

9174 

9175 

9176 

9178 

9179 

9180 

3i 

28 

9575 

9576 

957719578 

9579 

9580 

3i 

29 

9.8, 

9183 

9184 

9185 

9.87 

9188 

3o 

29 

9581 

9582 

9583  9584 

9585 

9586 

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9.999189 

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9194 

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29 

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9.999586 

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29 

3i 

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9198 

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9201 

9202 

9203 

28 

3i 

9592 

9593 

9594  9595 

9596 

9597 

28 

32 

9205 

9206 

9207 

9208 

9210 

921 1 

27 

32 

9597 

9598 

9599  9600 

9601 

9602 

27 

33 

9212 

9213 

9215 

9216 

9217 

9219 

26 

33 

9603 

9604 

9605  9606 

9606 

9607 

26 

34 

9220 

9221 

9222 

9224 

9225 

9226 

25 

34 

9608 

9609 

9610  961 1 

9612 

9613 

25 

35 

9227 

9229 

9230 

9231 

9232 

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24  '35 

9614 

9614 

9615 

9616 

9617 

9618 

24 

36 

9235 

9236 

9237 

9239 

9240 

9241 

23 

36 

9619 

9620 

9621 

9622 

9622 

9623 

23 

37 

9242 

9244 

9245 

9246 

9247 

9249 

22 

37 

9624 

9625 

9626 

9627 

9628 

9629 

22 

38 

9250 

9251 

9252 

9254 

9255 

9256 

21 

38 

9629 

9630 

9631 

9632 

9633 

9634 

21 

39 

9257 

9258 

9260 

9261 

9262 

9263 

20 

39 

9635 

9635 

9636 

9637 

9638 

9639 

20 

4o 

9.999265 

9266 

9267 

9268 

9270 

9271 

19 

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9.999640 

9641 

9641 

9642 

9643 

9644  19 

4i 

9272 

9273 

9274 

9276 

9277 

9278 

18 

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9645 

9646 

9647 

9647 

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9649  18 

42 

9279 

9280 

9282 

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9284 

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42 

9650 

9651 

9652 

9653 

9653 

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43 

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9288 

9289  9290 

9291 

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16 

43 

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44 

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58 

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58 

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9727 

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59 

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9402 

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59 

9731 

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97329733 

9734 

9735 

0 

60"     50"  1  40"  1  30" 

20" 

10" 

d 

60" 

50" 

40"  1  30" 

20" 

10" 

Co-sine  of  3  Degrees. 

Co-sine  of  2  Degrees. 

p.r 

^,J1"  2"  3"  4"  5"  6"  7"  8"  < 
/O  0  0   1   1   1   1   1 

9" 

P  p„,  U  '  2"  3"  4"  5"  6"  7"  8"  9" 
^-  *^^"  ]  0  0  0  0  0   1   1  1  1 

Logarithmic 

Tangents. 

f  87  Deg 

111 

d 

Tangent  of  86  Degrees. 

a 

Tangent  0 

rees. 

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1 

0" 

10" 

20" 

30" 

40" 

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0 

60" 

50" 

40" 

30"   20" 

60" 

50" 

40"  1  30" 

20"  '    10" 

Co-tangent  of  3  Degrees. 

Co-tangent  of  2  Decrees. 

P, 

^1"  2"   3"  4"  5"  6"  7"  8"  9" 
^  **"  ]  3.5  G9  104  138  173  207  242  276  311 

P. 

(1"  2"  3"  4"  r,"  6'  7" 
^^'^ '(  48  97  14o  193  242  290  338 

8" 
387  4 

9"~ 
35 

112 


LOGAKITHMIC      SiNES. 


Sine  of  88  Dejjrees. 

- 

Sine  of  89  Degrees. 

0" 

1  10" 

20" 
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.30" 

40" 

50" 

0"      10" 

SO" 

30" 

40"  1  50" 

0 

9.999735 

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9746 

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28 

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9981 

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29 

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9983 

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9857 

28 

3i 

9985 

9985 

9985 

9985 

9985 

9985 

28 

32 

9858 

9858 

9859 

9859 

9860 

9860 

27 

32 

9986 

9986 

9986 

9986 

9986 

9986 

27 

33 

9861 

9861 

9862 

9863 

9863 

9864 

26 

33 

9987 

9987 

9987 

9987 

9987 

9987 

26 

34 

9864 

9865 

9865 

9866 

9866 

9867 

25 

34 

9988 

9988 

9988 

9988 

9988 

9988 

25 

35 

9867 

9868 

9868 

9869 

9869 

9870 

24 

35 

9989 

9989 

9989 

9989 

9989 

9989 

24 

36 

9870 

9871 

9871 

9872 

9872 

9873 

23 

36 

9989 

9990 

9990 

9990 

9990 

9990 

23 

37 

9873 

9874 

9874 

9875 

9875 

9876 

22 

37 

9990 

9990 

999' 

9991 

9991 

9991 

22 

38 

9876 

9877 

9877 

9878 

9878 

9879 

21 

38 

9991 

9991 

9991 

9992 

9992 

9992 

21 

39 

9879 

9880 

9880 

9881 

9881 

9882 

20 

39 

9992 

9992 

9992 

9992 

9992 

9993 

20 

4o 

9.999882 

9883 

9883 

9884 

9884 

9885 

19 

4o 

9.999993 

9993 

9993 

9993 

9993 

9993 

19 

4i 

9885 

9886 

9886 

9887 

9887 

9888 

18 

4i 

9993 

9993 

9994 

9994 

9994 

9994 

18 

42 

9888 

9889 

9889 

9890 

9890 

9891 

17 

42 

9994 

9994 

9994 

9994 

9994 

9995 

17 

43 

9891 

9892 

9892 

9892 

9893 

9893 

16 

43 

9995 

9995 

9995 

9995 

9995 

9995 

16 

44 

9B94 

9894 

9895 

9895 

9896 

9896 

i5 

44 

9995 

9995 

9995 

9996 

9996 

9996 

i5 

45 

9897 

9897 

9898 

9898 

9898 

9899 

i4 

45 

9996 

9996 

9996 

9996 

9996 

9996 

i4 

46 

9899 

9900 

9900 

9901 

9901 

9902 

i3 

46 

9996 

9996 

9997 

9997 

9997 

9997 

i3 

47 

9902 

9903 

9903 

9903 

9904 

9904 

12 

47 

9997 

9997 

9997 

9997 

9997 

9997 

12 

48 

99o5 

9905 

9906 

9906 

9906 

9907 

1 1 

48 

9997 

9997 

9997 

9998 

9998 

9998 

1 1 

49 

9907 

9908 

9908 

9909 

9909 

9910 

10 

49 

9998 

9998 

9998 

9998 

9998 

9998 

10 

5o 

9.999910 

9910 

99" 

99" 

9912 

9912 

9 

5o 

9.999998 

9998 

9998 

9998 

9998 

9998 

9 

5i 

52 

53 
54 

9913 

9913 

9913 

9914 

9914 

9915 

8 

5i 

9999 

9999 

9999 

9999 

9999 

9999 

8 

99i5 

9915 

9916 

9916 

9917 

9917 

7 

52 

9999 

9999 

9999 

9999 

9999 

9999 

7 

9918 

9918 

9918 

9919 

9919 

9920 

6 

53 

9999 

9999 

9999 

9999 

9999 

9999 

6 

9920 

9920 

9921 

9921 

9922 

9922 

5 

54 

9999 

9999 

9999 

9999 

9999 

.... 

5 

55 

9922 

9923 

9923 

9924 

9924 

9924 

4 

55 

0.000000 

0000 

0000 

0000 

0000 

0000 

4 

56 

9925 

9925 

9926 

9926 

9926 

9927 

3 

56 

0000 

0000 

0000 

0000 

0000 

0000 

3 

57 

9927 

9927 

9928 

9928 

9929 

9929 

2 

57 

0000 

0000 

0000 

0000 

0000 

0000 

2 

58 

99?.q 

9930 

9930 

9931 

9931 

9931 

I 

58 

0000 

0000 

0000 

0000 

0000 

0000 

1 

59 

9932 

9932 

9932 

9933 

9933 

9933 

0 

59 

0000 

0000 

0000 

0000 

0000 

0000 

0 

60" 

50" 

40" 

30" 

20" 

10" 

6 

60" 

SO- 

40" 

30" 

20" 

10" 

Co-sine  of  1  Detjrce. 

Co-sine  of  0  Decree. 

P.P 

„.  j  1"  2"  3"  4"  5"  «"  7"  8"  9" 
'^"'lOO  0  00   000   1 

p  p«rf  i  1"  2"  3"  4"  5"  6"  7"  8"  9" 

^'  '^^"  /ooooooooo 

L 

OGAEITHMIC  TaNGENTS. 

113 

1 

T 

angent  of 

88  Degree 

!S. 

p.  Part 
to  1". 

0" 

10" 

30" 

30" 

40" 

50" 

o 

IX. 456916 

II .457520 

II. 458125 

11.458731 

11.459338 

11.459945 

59 

60.6 

I 

46o553 

46ii63 

461773 

462383 

462995 

4636o8 

58 

61. 1 

2 

464221 

464836 

465451 

466067 

46GGS4 

467302 

57 

61.6 

3 

467920 

46854o 

469160 

469782 

470404 

471027 

56 

62.2 

4 

47i65i 

472276 

472902 

473528 

474i56 

474785 

55 

62.7 

5 

475414 

476044 

476676 

477308 

477941 

478575 

54 

63.3 

6 

479210 

479846 

480482 

481 120 

481759 

482398 

53 

63.8 

7 

483o39 

483680 

484323 

484966 

485611 

486256 

52 

64.4 

8 

486902 

487549 

488198 

488847 

489497 

490148 

5i 

65. 0 

9 

490800 

491453 

492107 

492762 

493418 

494075 

5o 

65.5 

lO 

11.494733 

1 1 .495392 

1 1 .496052 

11.496713 

11.497375 

11.498038 

49 

66.1 

n 

498702 

499367 

5ooo33 

500700 

5oi368 

5o2o37 

48 

66.8 

12 

502707 

503378 

5o4o5i 

504724 

505398 

506073 

47 

67.4 

i3 

506750 

507427 

5o8io6 

508785 

509466 

5ioi48 

46 

68.0 

i4 

5io83o 

5i i5i4 

5 1 2199 

5i2885 

513572 

5i426o 

45 

68.6 

i5 

5i495o 

5i564o 

5i633i 

517024 

517717 

5i84i2 

44 

69.3 

i6 

519108 

519805 

52o5o3 

52I202 

521903 

522604 

43 

70.0 

17 

523307 

524010 

524715 

525421 

526128 

526837 

42 

70.7 

18 

527546 

528257 

528969 

529682 

530396 

53i 1 1 1 

4i 

71.3 

19 

531828 

532545 

533264 

533984 

534705 

535428 

4o 

72.1 

20 

ii.536i5i 

11.536876 

11 .537602 

II.538330 

11.539058 

11.539788 

39 

72.8 

21 

54o5i9 

54i25i 

541984 

542719 

543455 

544192 

38 

73.5 

22 

544930 

545670 

54641 1 

547153 

547896 

548641 

37 

74.3 

23 

549387 

55oi34 

55o883 

55i632 

552384 

553i36 

36 

75.0 

24 

553890 

554645 

555401 

556i59 

556918 

557678 

35 

75.8 

25 

558440 

559203 

559967 

560733 

56i5oo 

562268 

34 

76.6 

26 

563o38 

5638o9 

564581 

565355 

566i3o 

566907 

33 

77.5 

27 

567685 

568464 

569245 

570027 

57081 1 

571596 

32 

78.3 

28 

572382 

573170 

573959 

574750 

575542 

576336 

3i 

79.1 

29 

577131 

577928 

578726 

579525 

58o326 

581128 

3o 

80.0 

3o 

II. 581932 

11.582737 

11.583544 

11.584353 

ii.585i63 

11.535974 

29 

80.9 

3i 

586787 

587601 

588417 

589235 

590054 

590874 

28 

81.8 

32 

591696 

592520 

593345 

594172 

595000 

595830 

27 

,  82.8 

33 

596662 

597495 

598330 

599166 

600004 

600844 

26 

83.7 

34 

6oi685 

602528 

603372 

604218 

6o5o66 

605915 

25 

84.7 

35 

606766 

607619 

608474 

609330 

610187 

611047 

24 

85.7 

36 

611908 

612771 

6i3636 

6i45o2 

615370 

616240 

23 

86.7 

37 

617111 

617985 

618860 

619737 

620615 

621496 

22 

87.8 

38 

622378 

623262 

624147 

625o35 

625924 

626815 

21 

88.8 

39 

627708 

628603 

629500 

63o399 

631299 

63220I 

20 

89.9 

4o 

ii.633io5 

II .634oi2 

11 ,634919 

11.635829 

II. 636741 

11.637655 

19 

91. 1 

4i 

638570 

639488 

64o4o7 

64i329 

642252 

643177 

18 

92.2 

42 

644io5 

645o34 

645965 

646899 

647834 

648771 

17 

93.4 

43 

64971 1 

65o652 

65i595 

652541 

653488 

654438 

16 

94.6 

44 

655390 

656343 

657299 

658257 

659217 

660179 

i5 

95.9 

45 

661144 

662110 

663o79 

664o5o 

665023 

665998 

i4 

97.2 

46 

666975 

667955 

668936 

669920 

670907 

671895 

i3 

98.5 

47 

672886 

673879 

674874 

675871 

676871 

677873 

12 

99,8 

48 

678878 

679885 

680894 

681905 

682919 

683935 

II 

101,3 

49 

684954 

685975 

686998 

688024 

689052 

690083 

10 

102,7 

5o 

II .6911 16 

11 .692151 

11.693189 

11.694230 

11.695273 

11.696318 

9 

104.2 

5i 

697366 

698417 

699470 

700526 

7oi584 

702645 

8 

105.7 

52 

703708 

704774 

7o5843 

706914 

707988 

709065 

7 

107.2 

53 

710144 

711226 

712311 

713398 

714488 

7i558i 

6 

108.9 

54 

716677 

717775 

718876 

719980 

721087 

722196 

5 

no. 5 

55 

723309 

724424 

725542 

726663 

727787 

728914 

4 

112. 2 

56 

730044 

731176 

732312 

733451 

734592 

735737 

3 

114.0 

r   0 

57 

736885 

738o35 

739189 

74o346 

74i5o6 

742669 

2 

ii5.8 

58 

743835 

745oo4 

746177 

747352 

748531 

749713 

I 

117.7 

59 

750898 

752087 

753279 

754474 

755672 

756874 

0 

119.7 

60" 

50" 

40" 

30" 

20" 

10" 

d 

C( 

>taDgent  c 

)f  1  Degre 

je. 

H 


114 


Auxiliary  Table  for   Sines,  &c. 


8 

Hi 

2 

3 

a 
!5 

0  Degree 

■o 
a 
0 

CO 

2 
a 

1  Degree 

— 1 r 

• 

log.  sin.  A- 
log.  A". 

log.  Ian.  A- 
log.  A- . 

log.  cot.  A+ 
log.  A". 

log.  sin.  A  — 
log.  A". 

log.  tan.  A  - 
log.  A". 

log.  col.  A-)- 
log.  A". 

o'  o 
60  I 

4.685575 
575 

4.685575 
575 

i5.3i4425 

425 

60 
59 

36oo 
366o 

0 
I 

4.685553 
552 

4.685619 
620 

i5.3i438i 
38o 

60 
59 

120 

2 

575 

575 

425 

58 

3720 

2 

55i 

622 

378 

58 

180 

3 

575 
575 
575 

575 

425 

57 

3780 

3 

55i 

623 

377 

57 

24o 

3oo 

4 
5 

575 

425 

56 

384o 

4 

55o 

625 

375 

56 

575 

425 

55 

3900 

5 

549 

627 

373 

55 

36o 

6 

/ 

575 

575 

425 

541 

3960 

6 

548 

628 

372 

54 

420 

7 

8 

575 

575 

425 

53! 

4o20 

7 

547 

63o 

370 

53 

48o 

574 

576 

424 

52 

4o8o 

8 

547 

632 

368 

52 

540 

9 
10 

574 

576 

424 

5i 

4i4o 

9 

546 

633 

367 

5i 

600 

4.685574 

4.685576 

i5.3i4424 

5o 

4200 

10 

4.685545 

4.685635 

i5.3i4365 

5o 

660 

1 1 

574 

576 

424 

49 

4260 

II 

544 

637 

363 

49 

720 

780 
84o 

12 

574 

577 

423 

48 

4320 

12 

543 

638 

362 

48 

i3 

574 

577 

423 

47 

438o 

i3 

542 

64o 

36o 

47 

i4 

574 

577 

423 

46 

444o 

i4 

54 1 

642 

358 

46 

900 

960 

1020 

i5 

573 

578 

422 

45 

45oo 

i5 

540 

644 

356 

45 

16 

573 

578 

422 

44 

456o  16 

539 

646 

354 

44 

17 

573 

578 

422 

43 

4620 

17 

539 

647 

353 

48 

1080 

18 

573 

579 

421 

42 

468o 

18 

538 

649 

35i 

42 

I  i4o 

19 

20 

573 

579 

421 

4i 

4740 

'9 

537 

65i 

349 

4i 

1200 

4.685572 

4.685580 

i5.3i442o 

4o 

48oo 

20 

4.685536 

4.685653 

i5.3i4347 

40 

1260 

21 

572 

58o 

420 

39 

486o 

21 

535 

655 

345 

39 

1820 

22 

572 

58i 

419 

38 

4920 

22 

534 

657 

343 

38 

i38o 

23 

572 

58i 

419 

37 

4980 

23 

533 

659 

34 1 

37 

i44o 

24 

571 

582 

4i8 

36 

5o4o24 

532 

661 

339 

36 

i5oo 

25 

571 

583 

417 

35 

5ioo 

25 

53i 

663 

337 

35 

i56o 

26 

571 

583 

417 

34 

5 1 60 

26 

53o 

665 

335 

34 

1620 

27 

570 

584 

4i6 

33 

5220 

27 

529 

668 

332 

33 

1680 

28 

670 

584 

4i6 

32 

5280 

28 

527 

670 

33o 

32 

1740 

29 

570 

585 

4i5 

3i 

5340 

29 

526 

672 

328 

3i 

1 800 

3o 

4.685569 

4.685586 

i5.3i44i4 

3o 

5400 

3o 

4.685525 

4.685674 

i5.3i4326 

3o 

i860 

3i 

569 

587 

4i3 

29 

546o 

3i 

524 

676 

324 

29 

1920 

32 

569 

587 

4i3 

28 

5520 

32 

523 

679 

321 

28 

1980 

33 

568 

588 

4l2 

27 

558o 

33 

522 

681 

319 

27 

2o4o 

34 

568 

589 

4ii 

26 

564o 

34 

521 

683 

3i7 

26 

2100 

35 

567 

590 

4io 

25 

5700 

35 

520 

685 

3i5 

25 

2160 

36 

667 

691 

409 

24 

5760 

36 

5i8 

688 

3l2 

24 

2220 

37     566 

592 

4o8 

23 

5820 

37 

517 

6go 

3io 

23 

2280 

38 

566 

593 

407 

22 

588o 

38 

5i6 

693 

307 

22 

234o 

39 

566 

593 

407 

21 

5940 

39 

5i5 

695 

3o5 

21 

2400 

4o 

4.685565 

4.685594 

i5.3i44o6 

20 

6000 

4o 

4.6855i4 

4.685697 

i5.3i43o3 

20 

2460 

4i 

565 

595 

4o5 

^9 

6060 

4i 

5l2 

700 

3oo 

19 

2520 

42 

564 

596 

4o4 

18 

6120 

42 

5ii 

702 

298 

j8 

258o 

43 

564 

598 

402 

>7 

6180 

43 

5io 

7o5 

295 

17 

264o 

44 

563 

599 

4oi 

16 

1  6240 

44 

509 

707 

293 

16 

2700 

45 

562 

600 

4oo 

i5 

;63oo 

45 

5o7 

710 

290 

i5 

2760 

46 

562 

601 

399 

i4 

636o 

46 

5o6 

7i3 

287 

i4 

2820 

47 

56i 

602 

398 

I  3  1;  6420 

47 

5o5 

7i5 

285 

i3 

2880 

48 

56i 

6o3 

397 

12 

648o 

48 

5o3 

718 

282 

12 

2940 

49 

56o 

6o4 

396 

II 

654o 

49 

502 

720 

280 

1 1 

3ooo 

5o 

4.685560 

4.6856o5 

15.314395 

10 

6600 

5o 

4.685501 

4.685723 

i5. 814277 

TO 

3o6o 

5i 

559 

607 

393 

9 

6660 

5i 

499 

726 

274 

9 

3l20 

52 

558 

608 

392 

8 

6720 

52 

498 

729 

271 

8 

3i8o 

53 

558 

609 

391 

7  !:  6780 

53 

497 

73. 

269 

7 

324o 

54 

557 

611 

389 

6^840 

54 

495 

734 

266 

6 

33oo 

55 

556 

612 

388 

5  ;;  6900 

55 

494 

737 

263 

5 

336o 

56 

556 

6i3 

387 

4  1 6960 

56 

492 

740 

260 

4 

3420 

57 

555 

6i5 

385 

3  li  7020 

57 

491 

743 

257 

3 

348g 

58 

554 

616 

384 

2 

1  7080 

58 

490 

745 

255 

2 

354o 

59 

554 

618 

382 

I 

7i4o|59 

488 

748 

252 

I 

log.  COS.  A- 

log.  cot.  A- 

log.  tan.  A+ 

IS 

log.  COS.  A- 

log.  cot.  A  — 

log.  tan  A+ 

m 

log.  c  A". 

log.  c.  A". 

log.  c.  A". 

-  i 

log.  c.  A". 

log.  c.  A". 

log.  c.  A". 

J  3 

a 

i 

89  Degre 

es. 

i 

88  Degrees, 

L 

OGAKITHMIC  TANGENTS. 

115 

Tangent  of 

89  Degrees. 

59 

p.  Part 
to  1". 

0" 

10" 

30" 

30" 

40" 

50" 

o 

II .758079 

II  .759287 

11.760498 

II .761714 

II .762932 

II. 764154 

121  .7 
123.8 

I 

765379 

766608 

767840 

769076 

77o3i5 

77i558 

58 

2 

772805 

774o55 

775308 

776566 

777826 

779091 

57 

125.9 
128.1 

3 

780359 

781631 

782907 

784186 

785470 

786757 

56 

4 

788047 

789342 

790641 

791943 

793250 

794560 

55 

i3o.4 

5 

795874 

797192 

7985i5 

799841 

801 171 

8o25o6 

54 

i32.8 

6 

8o3844 

805187 

806534 

807885 

809240 

810600 

53 

135.3 

7 

811964 

8i3332 

814704 

816081 

817462 

818847 

52 

137.9 

8 

820237 

821632 

823o3i 

824434 

825842 

827255 

5i 

i4o.6 

9 

828672 

830094 

83i52o 

832951 

834387 

835828 

5o 

143.4 

lO 

11.837273 

11.838724 

II .840179 

II. 841639 

1 1. 843 1 04 

11.844574 

49 

i46.2 

II 

846o48 

847528 

849013 

85o5o3 

85 1 999 

853499 

48 

149.3 

12 

855oo4 

8565i5 

858o3£ 

859553 

861079 

86261 1 

47 

l52.4 

i3 

864i49 

865692 

867240 

868794 

870354 

871919 

46 

155.7 

i4 

873490 

875067 

876649 

878237 

879831 

88i43i 

45 

159. 1 

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85° 

84°    83° 

82° 

81° 

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Natural  Co-tangents. 

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4.85 

4.86 

4.87 

4.88 

4.89 

4.91 

4.93 

4.96 

4.98 

118 

Natural  Sines. 

c 

10° 

11° 

12° 

13° 

14° 

15° 

16° 

17° 

18° 

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Natural  Co-sines. 

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4.73 

4.71 

4.69 

4.67 

4.65 

4.62 

4.60 

4.57 

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Tangents. 

119 

10° 

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12°    13°    14° 

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770 

76° 

75° 

74°   73° 

72° 

71° 

70° 

i 

Natural  Co-tanjjents, 

1: — : 1 

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5.o5 

5.09 

5.i3 

5.17 

5.22 

5.27 

5.33 

5.39 

5.46 

120 

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s 

s 

20° 

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24° 

25° 

26° 

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5906 

1948 

7867 

3659 

93x9 

4842 

480223 

5459  18 

43 

3747 

370017 

6174 

22X4 

8i3x 

3921 

9579 

5x00 

0479 

57X1  17 

44 

4019 

0287 

6443 

2480 

8396 

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9839 

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0734 

5964  16 

45 

4291 

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2747 

8660 

4445 

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0989 

62x7  i5 

46 

4563 

0828 

6979 

3oi3 

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4707 

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5872 

1244 

6469 

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47 

4835 

1098 

7247 

3279 

9188 

4969 

0618 

6129 

1499 

6722 

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48 

5io7 

1 368 

75i6 

3545 

9452 

523x 

0878 

6387 

1754 

6974 

12 

49 

5379 

i638 

7784 

38ii 

97x6 

5493 

1x37 

6644 

2009 

7226 

XI 

5o 

355651 

371908 

388o52 

404078 

4x9980 

435755 

45x397 

466901 

482263 

497479 

10 

5i 

5923 

2178 

8320 

4344 

420244 

6017 

i656 

7x58 

25x8 

7731 

9 

52 

6194 

2448 

8588 

46x0 

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6278 

1916 

74x6 

2773 

7983 

8 

53 

6466 

2718 

8856 

4876 

0772 

654o 

2x75 

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3028 

8236 

7 

54 

6738 

2988 

9124 

5x42 

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6802 

2435 

7930 

3282 

8488 

6 

55 

7010 

3258 

9392 

5408 

i3oo 

7063 

2694 

8x87 

3537 

8740 

5 

56 

7281 

3528 

9660 

5673 

x563 

7325 

2953 

8444 

3792 

8992 

4 

57 

7553 

3797 

9928 

5939 

1827 

7587 

32x3 

870X 

4o46 

9244 

3 

58 

7825 

4067 

390196 

6205 

2091 

7848 

3472 

8958 

43oi 

9496 

2 

59 

8096 

4337 

o463 

6471 

2355 

81x0 

3731 

92x5 

4555 

9748 

1 

69° 

68° 

67° 

66° 

65° 

64° 

63° 

62° 

61° 

60° 

l4 

Natural  Co-sines. 

P.l 

tol 

\4.54 

4.5i 

4.48 

4.45 

4.41 

4.38 

4.34 

4.3o 

4.26 

4.22 

Natural 

Tangents. 

121 

a 

20° 

21° 

22° 

23° 

24° 

25° 

26° 

27° 

28° 

29° 

60 

o 

363970 

383864  404026 

424475 

445229 

4663o8 

487733 

509525 

531709 

554309 
4689 

I 

43oo 

4198 

4365 

48i8 

5577 

6662 

8093 

9892 

2o83 

59 

58 

2 

4629 

4532 

4703 

5162 

5926 

7016 

8453 

510258 

2456 

5070 

3 

4959 

4866 

5o42 

55o5 

6275 

7371 

88i3 

0625 

2829 

545o 

57 

4 

5288 

5200 

538o 

5849 

6624 

7725 

9174 

0992 

32o3 

583j 

56 

5 

56i8 

5534 

5719 

6192 

6973 

8080 

9534 

1359 

3577 

6212 

55 

6 

5948 

5868 

6o58 

6536 

7322 

8434 

9895 

1726 

3950 

6593 

54 

7 

6278 

6202 

6397 

6880 

7671 

8789 

490256 

2093 

4324 

6974 

53 

8 

6608 

6536 

6736 

7224 

8020 

9144 

0617 

2460 

4698 

7355 

52 

9 

6938 

6871 

7075 

7568 

8369 

9499I  0978 

2828 

5072 

7736 

5i 

10 

367268 

387205 

407414 

427912 

448719 

469854 

491339 

5i3i95 

535446 

558ii8 

5o 

1 1 

7598 

7540 

7753 

8256 

9068 

470209 

1700 

3563 

5821 

8499 

49 

12 

7928 

7874 

8092 

8601 

9418 

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2061 

3930 

6195 

8881 

48 

i3 

8259 

8209 

8432 

8945 

9768 

0920 

2422 

4298 

6570 

9263 

47 

i4 

8589 

8544 

8771 

9289 

45oi 17 

1275 

2784 

4666 

6945 

9645 

46 

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8919 

8879 

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9634 

0467 

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3i45 

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7319 

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45 

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9250 

9214 

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9979 

0817 

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3507 

54o2 

7694 

0409 

44 

I? 

9581 

9549 

9790 

43o323 

1 167 

2342 

3869 

5770 

8069 

0791 

43 

i8 

9911 

9884 

4ioi3o 

0668 

i5i7 

2698 

423i 

6i38 

8445 

1 1 74 

42 

19 

370242 

390219 

0470 

ioi3 

1868 

3o54 

4593 

65o7 

8820 

i556 

4i 

20 

370573 

390554 

410810 

43i358 

452218 

473410 

494955 

516875 

539195 

561939 

40 

21 

0904 

0889 

ii5o 

1703 

2568 

3766 

5317 

7244 

9571 

2322 

39 

22 

1235 

1225 

1490 

2o48 

2919 

4l22 

5679 

7613 

9946 

2705 

38 

23 

1 566 

i56o 

i83o 

2393 

3269 

4478 

6o42 

7982 

54o322 

3o88 

37 

24 

1897 

1896 

2170 

2739 

3620 

4835 

64o4 

835i 

0698 

3471 

36 

25 

2228 

223l 

25l  t 

3o84 

3971 

5191 

6767 

8720 

1074 

3854 

35 

26 

2559 

2567 

285i 

3430 

4322 

5548 

7i3o 

9089 

i45o 

4238 

34 

27 

2890 

2903 

3192 

3775 

4673 

5905 

7492 

9458 

1826 

4621 

33 

28 

3222 

3239 

3532 

4l2I 

5o24 

6262 

7855 

9828 

2203 

5oo5 

32 

29 

3553 

3574 

3873 

4467 

5375 

6619 

8218 

520197 

2579 

5389 

3i 

3o 

373885 

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434812 

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476976 

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542956 

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3o 

3i 

4216 

4247 

4554 

5 1 58 

6078 

7333 

8945 

0937 

3332 

6157 

29 

32 

4548 

4583 

4895 

55o4 

6429 

7690 

9308 

i3o7 

3709 

654i 

28 

33 

488o 

4919 

5236 

585o 

6781 

8047 

9672 

1677 

4086 

6925 

27 

34 

52II 

5255 

5577 

6197 

7i32 

84o5 

5ooo35 

2047 

4463 

7310 

26 

35 

5543 

5592 

5919 

6543 

7484 

8762 

0399 

2417 

484o 

7694 

25 

36 

5875 

5928 

6260 

6889 

7836 

9120 

0763 

2787 

5218 

8079 

24 

37 

6207 

6265 

6601 

7236 

8188 

9477 

1 127 

3i58 

5595 

8464 

23 

38 

6539 

6601 

6943 

7582 

854o 

9835 

1491 

3528 

5973 

8849 

22 

39 

6872 

6938 

7284 

7929 

8892 

480193 

i855 

3899 

635o 

9234 

2  1 

4o 

377204 

397275 

417626 

438276 

459244 

48o55i 

502219 

524270 

546728 

569619 

20 

4i 

7536 

7611 

7967 

8622 

9596 

0909 

2583 

464i 

7106 

570004 

19 

42 

7869 

7948 

83o9 

8969 

9949 

1267 

2948 

5oi2 

7484 

0390 

18 

43 

8201 

8285 

865i 

9316 

46o3oi 

1626 

33i2 

5383 

7862 

0776 

17 

44 

8534 

8622 

8993 

9663 

o654 

1984 

3677 

5754 

8240 

1 161 

16 

45 

8866 

8960 

9335 

44001 1 

1006 

2343 

4o4i 

6125 

8619 

i547 

i5 

46 

9199 

9297 

9677 

o358 

1359 

2701 

4406 

6497 

8997 

1933 

i4 

47 

9532 

9634 

420019 

0705 

1712 

3o6o 

4771 

6868 

9376 

2319 

i3 

48 

9864 

9971 

o36i 

io53 

2o65 

3419 

5i36 

7240 

9755 

2705 

12 

49 

380197 

4oo3o9 

0704 

i4oo 

2418 

3778 

55o2 

7612 

55oi34 

3092 

II 

5o 

38o53o 

4oo646 

421046 

441748 

462771 

484i37 

5o5867 

527984 

55o5i3 

573478 

10 

5i 

o863 

0984 

1389 

2095 

3i24 

4496 

6232 

8356 

0892 

3865 

9 

52 

1196 

I  322 

1731 

2443 

3478 

4855 

6598 

8728 

1271 

4252 

8 

53 

i53o 

1660 

2074 

2791 

383i 

52i4 

6963 

9100 

i65o 

4638 

7 

54 

1 863 

1997 

2417 

3i39 

4i85 

5574 

7329 

9473 

2o3o 

5026 

6 

55 

2196 

2335 

2759 

3487 

4538 

5933 

7695 

9845 

2409 

54i3 

5 

56 

253o 

2673 

3l02 

3835 

4892 

6293 

8061 

53o2i8 

2789 

58oo 

4 

5? 

2863 

3oi  I 

3445 

4i83 

5246 

6653 

8427 

0591 

3169 

6187 

3 

58 

3197 

335o 

3788 

4532 

56oo 

7013 

8793 

0963 

3549 

6575 

2 

59 

353o 

3688 

4l32 

4880 

5954 

7373 

9159 

i336 

3929 

6962 

I 

69° 

68° 

67° 

66° 

65° 

64° 

63° 

62°   61° 

60° 

a 

Natural  Co-tangents. 

P-P;5.53 
tol". 

5.60 

5.68 

5.76 

5.85 

5.95 

6.o5 

6.16 

6.28 

6.40 

122 

» 

Natural  Sines. 

30° 

31° 

32° 

33° 

34° 

35° 

36° 

37° 

38° 

39° 

o 

Sooooo 

5i5o38[5299i9 

544639 

559193 

573576 

587785 

6oi8i5 

6i566i 

629320 

60 

1 

0252 

52871 53oi66 

4883 

9434 

38i5 

8021 

2047 

6891 

9546 

59 

2 

o5o4 

5537 

o4i3 

5i27 

9675 

4o53 

8256 

2280 

6120 

9772 

58 

3 

0755 

5786 

0659 

5371 

9916 

4291 

8491 

25l2 

6349 

9998 

57 

4 

1007 

6o35 

0906 

56i5 

56oi57 

4529 

8726 

2744 

6578 

63o224 

56 

5 

/ 

1259 

6284 

Il52 

5858 

0398 

4767 

8961 

2976 

6807 

o45o 

55 

6 

i5u 

6533 

1399 

6102 

0639 

5oo5 

9196 

3208 

7o36 

0676 

54 

7 
8 

1762 

6782 

1645 

6346 

0880 

5243 

9431 

3440 

7265 

0902 

53 

20l4 

7o3i 

1891 

6589 

1121 

5481 

9666 

3672 

7494 

1127 

52 

9 

10 

2266 

7280 

2i38 

6833 

i36i 

5719 

9901 

3904 

7722 

i353 

5i 

5o25i7 

517529 

532384 

547076 

56i6o2 

575957 

590136 

6o4i36 

617951 

63i578 

5o 

1 1 

2769 

7778 

263o 

7320 

1843 

6195 

0371 

4367 

8180 

i8o4 

49 

12 

3020 

8027 

2876 

7563 

2o83 

6432 

0606 

4599 

84o8 

2029 

48 

i3 

3271 

8276 

3l22 

7807 

2324 

6670 

o84o 

483i 

8637 

2255 

47 

i4 

3523 

8525 

,  3368 

8o5o 

2564 

6908 

1075 

5062 

8865 

2480 

46 

i5 

3774 

8773 

36i5 

8293 

28o5 

7145 

i3io 

5294 

9094 

2705 

45 

i6 

4o25 

9022 

386i 

8536 

3o45 

7383 

1 544 

5526 

9322 

293J 

44 

'7 

4276 

9271 

4io6 

8780 

3286 

7620 

1779 

5757 

9551 

3i56 

43 

i8 

4528 

9519 

4352 

9023 

3526 

7858 

20l3 

5988 

9779 

338i 

42 

19 

4779 

9768 

4598 

9266 

3766 

8095 

2248 

6220 

620007 

36o6 

4i 

7 

20 

5o5o3o 

520016 

534844 

549509 

564oo7 

578332 

592482 

6o645i 

620235 

633831 

4o 

21 

5281 

0265 

5090 

9752 

4247 

8570 

2716 

6682 

o464 

4o56 

39 

22 

5532 

o5i3 

5335 

9995 

4487 

8807 

2951 

6914 

0692 

4281 

38 

23 

5783 

0761 

558i 

55o238 

4727 

9044 

3i85 

7145 

0920 

45o6 

37 

24 

6o34 

lOIO 

5827 

o48i 

4967 

9281 

3419 

7376 

ii48 

4731 

36 

25 

6285 

1258 

6072 

0724 

5207 

9518 

3653 

7607 

1376 

4955 

35 

26 

6535 

i5o6 

63i8 

0966 

5447 

9755 

3887 

7838 

i6o4 

5i8o 

34 

27 

6786 

1754 

6563 

1209 

5687 

9992 

4l2I 

8069 

i83i 

54o5 

33 

28 

7037 

2002 

6809 

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5927 

580229 

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2059 

5629 

32 

29 

7288 

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7054 

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2747 

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6646 

0940 

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2742 

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29 

32 

8o4o 

2995 

7790 

2422 

6886 

1176 

5290 

9223 

2970 

6527 

28 

33 

8290 

3242 

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2664 

7125 

i4i3 

5524 

9454 

3197 

6751 

27 

34 

854i 

3490 

8281 

2907 

7365 

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3425 

6976 

26 

35 

8791 

3738 

8526 

3i49 

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9915 

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25 

36 

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3986 

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3392 

7844 

2123 

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7424 

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37 

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23 

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22 

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8096 

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4o 

5 1 0043 

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61 1067 

624789 

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20 

4i 

0293 

5224 

9996 

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7392 

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8544 

19 

42 

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5472 

540240 

4844 

9280 

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5243 

8768 

18 

43 

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3777 

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1757 

5470 

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17 

44 

1043 

5967 

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8092 

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9215 

16 

45 

1293 

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46 

1 543 

646i 

1219 

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4486 

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9663 

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47 

1793 

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6o54 

0475 

4722 

8791 

2677 

6377 

9886 

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48 

2043 

6956 

1708 

6296 

0714 

4958 

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2907 

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64oi 10 

12 

49 

2293 

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6537 

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5o 

5i2543 

527450 

542197 

556779 

571 191 

585429 

599489 

613367 

627057 

64o557 

10 

5i 

2792 

7697 

2442 

7021 

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5665 

9722 

3596 

7284 

0780 

9 

52 

3o42 

7944 

2686 

7262 

1669 

5901 

9955 

3826 

75io 

ioo3 

8 

53 

3292 

8191 

2930 

75o4 

1907 

6137 

600188 

4o56 

7737 

1226 

7 

54 

3541 

8438 

3174 

7745 

2i46 

6372 

0420 

4285 

7963 

i45o 

6 

55 

3791 

8685 

3419 

7987 

2384 

6608 

o653 

45i5 

8189 

1673 

5 

56 

4o4o 

8932 

3663 

8228 

2623 

6844 

o885 

4744 

84i6 

1896 

4 

57 

4290 

9179 

3907 

8469 

2861 

7079 

1118 

4974 

8642 

21 19 

3 

58 

453o 

9426   4i5i 

8710 

3ioo 

73i4 

i35o 

52o3 

8868 

2342 

2 

59 

4789 

9673 

4395 

8952 

3338 

7550 

i583 

5432 

9094 

2565 

I 

59° 

58° 

57° 

56° 

55° 

54° 

53° 

52° 

51° 

50° 

Natural  Co-sines. 

P.  1 

tol 

;,  4.18 

4.i3 

4.09 

4.04 

4.00   3.95 

3.90 

3.85 

3.80 

3.74 

Natural   Tangents. 


123 


a 

30° 

31° 

32° 

33° 

34° 

35° 

36° 

37° 

38° 

39° 

60 

0 

577350  600861 

624869 

649408J 674509 

700208 

726543 

753554 

78i2»6 

8o97«4 

I 

7738 

1257 

527^ 

9821 

4932 

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6987 

4oio 

1754 

810266 

59 

2 

8126 

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5679 

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5355 

1075 

7432 

4467 

2223 

0748 

58 

3 

85i4 

2049 

6o83 

0649 

5779 

i5o9 

7877 

4923 

2692 

123o 

57 

4 

8903 

2445 

6488 

io63 

6203 

1943 

8322 

538o 

3i6i 

1712 

56 

5 

9291 

2842 

6894 

1477 

6627 

2377 

8767 

5837 

363i 

2195 

55 

6 

9680 

3239 

7299 

1892 

7o5i 

2812 

9213 

6294 

4ioo 

2678 

54 

7 

58oo68 

3635 

7704 

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7475 

3246 

9658 

6751 

4570 

3i6i 

53 

8 

0457 

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8110 

2721 

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368i 

73oio4 

7209 

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3644'52 

9 

0846 

4429 

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3i36 

8324 

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7667 

55io 

4128  5i 

lO 

581235 

604827 

628921 

653551 

678749 

704551 

730996 

758125 

785981 

8i46i2  5o 

1 1 

1625 

5224 

9327 

3966 

9174 

4987 

1443 

8583 

645i 

5096  49 

12 

20l4 

5622 

9734 

4382 

9599 

5422 

1889 

9041 

6922 

558o48 

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4797 

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52 1 3 

o45o 

6294 

2783 

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7865 

6549 

46 

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3i83 

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0953 

5629 

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6730 

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760418 

8336 

7034 

45 

i6 

3573 

7213 

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6045 

l302 

7166 

3678 

0877 

8808 

7519 

44 

17 

3963 

761 1 

1767 

646i 

1728 

7603 

4i25 

i336 

9280 

8oo5 

43 

i8 

4353 

8010 

2174 

6877 

2l54 

8039 

4573 

1796 

9752 

8491 

42 

19 

4743 

84o8 

258i 

7294 

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8604 

I 

59° 

58° 

57° 

56° 

55° 

54° 

53° 

52° 

51° 

50° 

ii 

Natural  Co-tangents. 

P-P:6.53 
tol". 

6.67 

6.82 

6.97 

7.14 

7.3i 

7.5o 

7.70 

7.92 

8.i4 

124 

Natural  biNES. 

a 

s 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

48° 

49°  . 

60 

0 

642788 

656o59 

6691 3r 681998 

694658 

707107 

719340 

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743145 

754710 

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3oio 

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6498 
6717 

9347 

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4868 

73i2 

9552 

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3339 

4900 

59 

2 

3233 

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1750 

3534 

5091 

58 

3 

3456 

9779 

2636 

5286 

7724 

9946 

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3728 

5282 

57 

4 

3679 
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4124 

6937 

9995 

2849 

5495 

7929 

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2147 

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56 

5 

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6 

7375 

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3274 

5913 

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2543 

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54 

7 
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4346 

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3486 

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53 

4569 

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3698 

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52 

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6539 

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658252 

671289 

684123 

696748 

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721357 

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4335 

6957 

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1721 

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2032 

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8969 

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12 

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6749 

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2353 

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7113 

9168 

1000 

2606 

3984 

1 1 

5o 

653861 

666966 

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692563 

7o5o47 

717316 

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741195 

752798 

764171 

10 

5i 

4081 

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680081 

2773 

5253 

7519 

9566 

1391 

2989 

4359 

9 

52 

43oi 

7399 

0295 

2983 

5459 

7721 

9765 

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3i8i 

4547 

8 

53 

4521 

7616 

o5o8 

3192 

5665 

7924 

9963 

1781 

3372 

4734 

7 

54 

4741 

7833 

0721 

3402 

5872 

8126 

730162 

1976 

3563 

4921 

6 

55 

4961 

8049 

o(j3/i 

36ii 

6078 

8329 

o36i 

2171 

3755 

5109 

5 

56 

5i8o 

8265 

1147 

3821 

6284 

853i 

o56o 

2366 

3946 

5296 

4 

57 

54oo 

8482 

i36o 

4o3o 

6489 

8733 

0758 

256i 

4i37 

5483 

3 

58 

5620   8698 

1573 

4240 

6695 

8936 

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2755 

4328 

5670 

2 

5g 

5839   8914 

1786 

4449 

6901 

9x38 

ii55 

2950   4519 

5857 

I 

49° 

48° 

47° 

46° 

45° 

44° 

48° 

42°   41° 

40° 

a 

i 

Natural  Co-sines. 

;oiv-^9 

3.63 

3.57 

3.52 

3.46 

3.40 

3.34 

3.27 

3.21 

3.i5 

Natural 

Tangents. 

125 

1  -^0° 

41° 

42° 

43° 

44° 

45° 

46° 

47° 

48° 

49° 

0  839100 

869287  900404 

9325i5 

965689 

1. 00000 

1.03553 

1.07237 

I.I  1061 

i.i5o37 

60 

I   9695 

9798 

0931 

3o59 

625i 

oo58 

36i3 

7299 

1 126 

5io4 

59 

58 

2'  840092 

870309 

i458 

36o3 

6814 

01 16 

3674 

7362 

1191 

5172 

3 

o588 

0820 

1985 

4i48 

7377 

0175 

3734 

7425 

1256 

6240 

57 

4 

io84 

i332 

25i3 

4693 

7940 

0233 

3794 

74B7 

l32I 

53o8 

56 

5 

i58i 

i843 

3o4i 

5238 

85o4 

0291 

3855 

7550 

i387 

5375 

55 

6 

2078 

2356 

3569 

5783 

9067 

o35o 

3915 

7613 

i452 

5443 

54 

7 

2575 

2868 

4098 

6329 

9632 

o4o8 

3976 

7676 

i5i7 

55ii 

53 

« 

3073 

338i 

4627 

6875 

970196 

0467 

4o36 

7738 

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5579 

52 

9 

3571 

38g4 

5i56 

7422 

0761 

o525 

4097 

7801 

i648 

5647 

5i 

10 

844069 

874407 

9o5685 

937968 

971326 

i.oo583 

i.o4i58 

1.07864 

1.11713 

i.i57i5 

5o 

11   4567 

4920 

62i5 

65i5 

1892 

0642 

4218 

7927 

1778 

5783 

49 

12'   5o66 

5434 

6745 

9063 

2458 

0701 

4279 

7990 

1 844 

585i 

48 

13;   5564 

5948 

7275 

9610 

3o24 

0759 

4340 

8o53 

1909 

5919 

47 

i4   6o63 

6462 

7805 

94oi58 

3590 

08 1 8 

44oi 

8116 

1975 

5987 

46 

i5:   6562 

6976 

8336 

0706 

4i57 

0876 

4461 

8179 

204l 

6o56 

45 

16,   7062 

7491 

8867 

1255 

4724 

0935 

4522 

8243 

2106 

6124 

44 

17!   7562 

8006:   9398 

i8o3 

5291 

0994 

4583 

83o6 

2172 

6192 

43 

18:   8062 

8521   9930 

2352 

5859 

io53 

4644 

8369 

2238 

6261 

42 

19'   8562 

9037  910462 

2902 

6427 

1 1 12 

4705 

8432 

23o3 

6329 

4i 

20 

849062 

879553 

910994 

943451 

976996 

t. 01170 

r. 04766 

1.08496 

1. 12369 

1. 16398 

4o 

21 

9563 

880069 

i526 

4ooi 

7564 

1229 

4827 

8559 

2435 

6466 

39 

22 

85oo64 

o585 

2059 

4552 

8i33 

1288 

4888 

8622 

25oi 

6535 

38 

23 

o565 

1102 

2592 

5l02 

8703 

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4949 

8686 

2567 

66o3 

3? 

24 

1067 

1619 

3i25 

5653 

9272 

i4o6 

5oio 

8749 

2633 

6672 

36 

25 

i568 

2i36 

3659 

6204 

9842 

i465 

6072 

88i3 

2699 

6741 

35 

26 

2070 

2653 

4193 

6756 

980413 

i524 

5i33 

8876 

2765 

6809 

34 

27 

2573 

3171 

4727 

7307 

0983 

i583 

5194 

8940 

283i 

6878 

33 

28 

3075 

3689 

5261 

7859 

i554 

1642 

5255 

9003 

2897 

6947 

32 

29 

3578 

4207 

5796 

84l2 

2126 

1702 

53i7 

9067 

2963 

7016 

3i 

3o 

854o8i 

884725 

9i633i 

948965 

982697 

1.01761 

1.05378 

1. 091 3 1 

i.i3o29 

1. 17085 

3o 

3i 

4584 

5244 

6866 

9518 

3269 

1820 

5439 

9195 

3096 

7154 

29 

32 

5087 

5763 

7402 

g5oo7i 

3842 

1879 

55oi 

9258 

3i62 

7223 

28 

33 

5591 

6282 

7938 

0624 

44i4 

1939 

5562 

9322 

3228 

7292 

27 

34 

6095 

6802 

8474 

1178 

4987 

1998 

5624 

9386 

3295 

7361 

26 

35 

6599 

7321 

9010 

1733 

556o 

2057 

5685 

9450 

336i 

7430 

25 

36 

7104 

7842 

9547 

2287 

6 1 34 

2117 

5747 

95i4 

3428 

7500 

24 

37 

7608 

8362 

920084 

2842 

6708 

2176 

5809 

9578 

3494 

7569 

23 

38 

8ii3 

8882 

0621 

3397 

7282 

2236 

5870 

9642 

356i 

7638 

22 

39 

8619 

94o3 

1159 

3953 

7857 

2295 

5932 

9706 

3627 

7708 

21 

4o 

859124 

889924 

921697 

954508 

988432 

1.02355 

1.05994 

1.09770 

1. 13694 

1. 17777 

20 

4i 

9630 

890446 

2235 

5o64 

9007 

24i4 

6o56 

9834 

3761 

7846 

19 

42 

86oi36 

0967 

2773 

5621 

9582 

2474 

6117 

9899 

3828 

7916 

l8 

43 

0642 

1489 

33i2 

6177 

99oi58 

2533 

6179 

9963 

3894 

7986 

17 

44 

ii48 

2012 

385i 

6734 

0735 

2593 

6241 

1. 10027 

3961 

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16 

45 

i655 

2534 

4390 

7292 

i3ii 

2653 

63o3 

0091 

4028 

8125 

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46 

2162 

3o57 

4930 

7849 

1888 

2713 

6365 

oi56 

4095 

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47 

2669 

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5470 

8407 

2465 

2772 

6427 

0220 

4162 

8264 

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48 

3177 

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6010 

8966 

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2832 

6489 

0285 

4229 

8334 

12 

49 

3685 

4627 

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9524 

3621 

2892 

655i 

0349 

4296 

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II 

5o 

864193 

895151 

927091 

960083 

994199 

1.02952 

i.o66i3 

i.io4i4 

1. 14363 

1. 18474 

ID 

5i 

4701 

5675 

7632 

0642 

4778 

3oi2 

6676 

0478 

443o 

8544 

9 

52 

5209 

6199 

8174 

1202 

5357 

3072 

6738 

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4498 

86i4 

8 

53 

5718 

6724 

8715 

1761 

5936 

3i32 

6800 

0607 

4565 

8684 

7 

54 

6227 

7249 

9257 

2322 

65i5 

3192 

6862 

0672 

4632 

8754 

6 

55 

6735 

'  7774 

9800 

2882 

7095 

3252 

6925 

0737 

4699 

8824 

5 

56 

7246 

8299 

930342 

3443 

7676 

33 1 2 

6987 

0802 

4767 

8894 

4 

57 

7756 

8825 

o885 

4oo4 

8256 

3372 

7049 

0867 

4834 

8964 

3 

58 

8266 

9351 

1428 

4565 

8837 

3433 

7112 

0931 

4902 

9035 

2 

59 

8776 

9877 

1971 

6127 

9418 

3493 

7174 

0996 

4969 

9io5 

I 

49° 

48° 

47° 

46° 

45° 

44° 

4.3° 

42° 

41° 

40° 

Natural  ( 

>o-tang€ 

mts. 

^•P;B.38 

tol  . 

8.64 

8.92 

9.21 

9.53 

0.99 

1 .02 

1.06 

1. 10 

i.i5 

126 

Natural  Sines. 

is 
o 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

58° 

59° 

7G6044 

777146 

788011 

798636^ 

809017 

819152 

829038 

838671 

0  0 

848o48 

0 

857167 

_  0 

60 
59 

I 

623i 

7329 

75l2 

8190 

8811 

9188 

9319 

9200 

8829 

0202 

7317 

2 

64 1 8 

8369 

8985 

9359 

9486 

9363 

8987 

8356 

7467 

58 

3 

66o5   7605 

8548 

9160 

9530 

9652 

9525 

9146 

85io 

7616 

57 

4 

6792 
6979 
7165 

7878 

8727 

9335 

9700 

9819 

9688 

9304 

86G4 

776G 

56 

5 

8060 

8905 

9510 

9871 

9985 

985o 

9462 

8818 

7915 

55 

G 

8243 

9084 

9685 

810042 

820152 

83ooi2 

9620 

8972 

8oG5 

54 

7 
8 

7352 

8426 

9263 

9859 

0212 

o3i8 

0174 

9778 

9125 

8214 

53 

7538 

7725 

767911 

8608 

9441 

8ooo34 

o383 

o485 

0337 

9936 

9279 

8364 

52 

9 

10 

8791 

9620 

0208 

o553 

o65i 

0499 

840094 

9433 

85i3 

5i 

778973 

789798 

8oo383 

810723 

820817 

83o66i 

84o25i 

849586  858662 

5o 

1 1 

8097 

9i56 

9977 

o557 

0894 

0983 

0823 

0409 

9739 

8811 

49 

12 

8284 

9338 

790155 

0731 

1064 

ii49 

0984 

0567 

9893 

8960 

48 

i3 

8470 

9520 

o333 

0906 

1234 

i3i5 

ii46 

0724  85oo4G| 

9109 

47 

i4 

8656 

9702 

o5i  I 

1080 

i4o4 

i48i 

i3o8 

0882 

0199 

9258 

46 

i5 

8842 

9884 

0690 

1254 

1574 

1647 

1470 

1039 

o352 

9406 

45 

i6 

9028 

780067 

0868 

1428 

1744 

i8i3 

i63i 

1196 

o5o5 

9555 

44 

17 

9214 

0249 

io46 

1602 

1914 

1978 

1793 

i354 

o658 

9704 

43 

lb 

9400 

o43o 

1224 

1776 

2084 

2i44 

1954 

i5i  I 

0811 

9852 

42 

IQ 

9585 

0612 

i4oi 

1949 

2253 

23lO 

2Il5 

1668 

0964 

860001 

4i 

7 

20 

769771 

780794 

791579 

802123 

812423 

822475 

832277 

841825 

85iii7 

860149 

4o 

21 

9957 

0076 

1757 

2297 

2592 

2641 

2438 

1982 

1269 

0297 

39 

22 

770142 

1137 

1935 

2470 

2762 

2806 

2599 

2139 

l422 

o446 

38 

23 

o328 

1339 

21 12 

2644 

2931 

2971 

2760 

2296 

1575 

0594 

37 

24 

o5i3 

l520 

2290 

2817 

3ioi 

3i36 

2921 

2452 

1727 

0742 

36 

25 

0699 

1702 

2467 

2991 

3270 

33o2 

3082 

2609 

1879 

0890 

35 

26 

0884 

i883 

2644 

3i64 

3439 

3467 

3243 

2766 

2032 

io38 

34 

27 

1069 

2o65 

2822 

3337 

36o8 

3632 

34o4 

2922 

2184 

1186 

33 

28 

1254 

2246 

2999 

35ii 

3778 

3797 

3565 

3079 

233G 

i334 

32 

29 

i44o 

2427 

3176 

3684 

3947 

3961 

3725 

3235 

2488 

i48i 

3i 

3o 

771625 

782608 

793353 

8o3857 

8i4ii6 

824126 

833886 

843391 

852640 

861629 

3o 

3i 

1810 

2789 

353o 

4o3o 

4284 

4291 

4o46 

3548 

2792 

1777 

29 

32 

1995 

2970 

3707 

42o3 

4453 

4456 

4207 

3704 

2944 

1924 

28 

33 

2179 

3i5i 

3884 

4376 

4622 

4620 

4367 

386o 

309G 

2072 

27 

34 

2364 

3332 

4o6i 

4548 

4791 

4785 

4527 

4oi6 

3248 

2219 

26 

35 

2549 

35i3 

4238 

4721 

4959 

4949 

4688 

4172 

3399 

2366 

25 

36 

2734 

3693 

44i5 

4894 

5i28 

5ii3 

4848 

4328 

355i 

25i4 

24 

37 

2918 

3874 

4591 

5o66 

5296 

5278 

5oo8 

4484 

3702 

2661 

23 

38 

3io3 

4o55 

4768 

5239 

5465 

5442 

5i68 

464o 

3854 

2808 

22 

39 

3287 

4235 

4944 

54ii 

5633 

56o6 

5328 

4795 

4oo5 

2955 

21 

4o 

773472 

784416 

795121 

8o5584 

8i58oi 

825770 

835488 

844951 

854i56 

863102 

20 

4i 

3656 

4596 

5297 

5756 

5969 

5934 

5648 

5io6 

43o8 

3249 

19 

42 

384o 

4776 

5473 

5928 

6i38 

6098 

5807 

5262   4459 

3396 

18 

43 

4024 

4957 

565o 

6100 

63o6 

6262 

5967 

5417   46io 

3542 

17 

44 

4209 

5i37 

5826 

6273 

6474 

6426 

6127 

5573 

4761 

3689 

16 

45 

4393 

53x7 

6002 

6445 

6642 

5590 

6286 

5728 

4912 

3836 

i5 

46 

4577 

5497 

6178 

6617 

6809 

6753 

6446 

5883 

5o63 

3982 

i4 

47 

4761 

5677 

6354 

6788 

6977 

6917 

66o5 

6o38 

52i4 

4128 

i3 

48 

4944 

5857 

653o 

6960 

7145 

7081 

6764 

6193 

5364 

4275 

12 

49 

6128 

6037 

6706 

7i32 

73i3 

7244 

6924 

6348 

55i5 

4421 

11 

5o 

775312 

786217 

796882 

807304 

817480 

827407 

837083 

8465o3 

855665 

864567 

10 

5i 

5496 

6396 

7057 

7475 

7648 

7571 

7242 

6658 

58i6 

4713 

9 

52 

5679 

6576 

7233 

7647 

7815 

7734 

7401 

68i3 

5966 

486o 

8 

53 

5863 

6756 

7408 

7818 

7982 

7897 

7560 

6967 

6117 

5oo6 

7 

54 

6o46 

6935 

7584 

7990 

8i5o 

8060 

7719 

7122 

6267 

5i5i 

6 

55 

6230 

711^ 

7759 

8161 

83i7 

8223 

7878 

7277 

6417 

5297 

5 

56 

64i3 

7294 

7935 

8333 

8484 

8386 

8o36 

743i 

6567 

5443 

4 

57 

6596 

7473 

811Q 

85o4 

865i 

8549 

8195 

7585 

6718 

5589 

3 

58 

6780 

7652 

8285 

8675 

8818 

8712 

8354 

7740 

6868 

5734 

2 

59 

6963 

7832 

846o 

8846 

8985 

8875 

85i2 

7894 

7017 

588o 

I 

39° 

38° 

37° 

1 

36° 

35° 

34° 

33° 

32° 

31° 

30° 

-  5 

Natural  Co-sines, 

^•f:  3.08 
to  r . 

3.02 

2.96 

2.88   2.81 

2.75 

2.68 

2.60 

2.53 

2.46 

Natural 

Tangents. 

127 

a 

5U° 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

68° 

69° 

o 

1.19175 

1.23490 

1.27994 

1.32704 

1.37638 

1.42815 

1.48256 

1.53986 

i.6oo33 

1.66428 

60 

I 

9246 

3563 

8071 

2785 

7722 

2903 

8349 

4o85 

oi37 

6538 

59 

58 

2 

9316 

3637 

8i48 

2865 

7807 

2992 

8442 

4i83 

0241 

6647 

3 

9387 

3710 

8225 

2946 

7891 

3o8o 

8536 

4281 

0345 

6767 

57 

4 

9457 

3784 

83o2 

3026 

7976 

3169 

8629 

4379 

0449 

6867 

56 

5 

9528 

3858 

8379 

3107 

8060 

3258 

8722 

4478 

o553 

6978 

56 

6 

9599 

3931 

8456 

3187 

8145 

3347 

8816 

4576 

0657 

7088 

54 

7 

9669 

4oo5 

8533 

3268 

8229 

3436 

8909 

4675 

0761 

7198 

53 

8 

9740 

4079 

8610 

3349 

83i4 

3525 

9003 

4774 

o865 

7309 

62 

9 

9811 

4i53 

8687 

343o 

8399 

36i4 

9097 

4873 

0970 

7419 

61 

10 

1. 19882 

1.24227 

1.28764 

I.335II 

1.38484 

1.43703 

1. 49 1 90 

1.54972 

1.61074 

1.67530 

5o 

II 

9953 

43oi 

8842 

3592 

8568 

3792 

9284 

5071 

1 1 79 

7641 

49 

12 

1.20024 

4375 

8919 

3673 

8653 

388i 

9378 

5170 

1283 

7762 

48 

i3 

0095 

4449 

8997 

3754 

8738 

3970 

9472 

5269 

i388 

7863 

47 

i4 

0166 

4523 

9074 

3835 

8824 

4o6o 

956G 

5368 

1493 

7974 

46 

i5 

0237 

4597 

9i52 

3916 

8909 

4i49 

9661 

5467 

1698 

8o85 

45 

i6 

o3o8 

4672 

9229 

3998 

8994 

4239 

9755 

5567 

1703 

8196 

44 

17 

0379 

4746 

9307 

4079 

9079 

4329 

9849 

5666 

i8o8 

83o8 

43 

i8 

o45i 

4820 

9385 

4 1 60 

9165 

44i8 

9944 

5766 

1914 

8419 

42 

19 

o522 

4895 

9463 

4242 

925o 

45o8 

i.5oo38 

5866 

2019 

863i 

4i 

20 

1.20593 

[.24969 

1. 29541 

1.34323 

1.39336 

1.44598 

i.5oi33 

1.55966 

1.62126 

1.68643 

4o 

21 

o665 

5o44 

9618 

44o5 

9421 

4688 

0228 

6o65 

223o 

8754 

39 

22 

0736 

5ii8 

9696 

4487 

9507 

4778 

o322 

6i65 

2336 

8866 

38 

23 

0808 

5193 

9775 

4568 

9593 

4868 

0417 

6265 

2442 

8979 

37 

24 

0879 

5268 

9853 

465o 

9679 

4958 

05l2 

6366 

2548 

9091 

36 

25 

ogSi 

5343 

9931 

4732 

9764 

5  049 

0607 

6466 

2654 

9203 

35 

26 

1023 

5417 

1.30009 

48i4 

9850 

5i39 

0702 

6566 

2760 

93i6 

34 

27 

1094 

5492 

0087 

4896 

9936 

5229 

0797 

6667 

2866 

9428 

33 

28 

1166 

5567 

0166 

4978 

1.40022 

5320 

0893 

6767 

2972 

9641 

32 

29 

1238 

5642 

0244 

5o6o 

0109 

5410 

0988 

6868 

3079 

9653 

3i 

3o 

I.2l3lO 

1. 25717 

i.3o323 

i.35i42 

1.40195 

1.45501 

i.5io84 

1.56969 

i.63i85 

1.69766 

3o 

3i 

i382 

5792 

o4oi 

5224 

0281 

5592 

1179 

7069 

3292 

9879 

29 

32 

1454 

5867 

o48o 

53o7 

0367 

5682 

1275 

7170 

3398 

9992 

28 

33 

i526 

5943 

o558 

5389 

0454 

5773 

1370 

7271 

35o5 

1. 70106 

27 

34 

1598 

6018 

0637 

5472 

o54o 

5864 

i466 

7372 

36i2 

0219 

26 

35 

1670 

6093 

0716 

5554 

0627 

5955 

i562 

7474 

3719 

o332 

26 

36 

1742 

6169 

0795 

5637 

0714 

6o46 

i658 

7555 

3826 

o446 

24 

37 

i8i4 

6244 

0873 

5719 

0800 

6137 

1754 

7676 

3934 

o56o 

23 

38 

1886 

63i9 

0952 

58o2 

0887 

6229 

i85o 

7778 

4o4i 

0673 

22 

39 

1959 

6395 

io3i 

5885 

0974 

6320 

1946 

7879 

4i48 

0787 

21 

40 

I  .22o3l 

1. 26471 

i.3i 1 10 

1.35968 

[.41061 

1.4641 1 

1.52043 

1.57981 

1.64256 

1.7090! 

20 

4i 

2I04 

6546 

1 190 

6o5i 

ii48 

65o3 

2139 

8o83 

4363 

ioi5 

'9 

42 

2176 

6622 

1269 

6i34 

1235 

6595 

2235 

8184 

4471 

1129 

18 

43 

2249 

6698 

1 348 

6217 

l322 

6686 

2332 

8286 

4579 

1244 

17 

44 

2321 

6774 

1427 

63oo 

1409 

6778 

2429 

8388 

4687 

i358 

16 

45 

2394 

6849 

i5o7 

6383 

1497 

6870 

2525 

8490 

4796 

1473 

16 

46 

2467 

6925 

i586 

6466 

i584 

6962 

2622 

8593 

4903 

1688 

i4 

47 

2539 

7001 

1666 

6549 

1672 

7053 

2719 

8695 

601 1 

1702 

i3 

48 

2612 

7077 

1745 

6633 

1759 

7146 

2816 

8797 

6120 

1817 

12 

49 

2685 

7153 

1825 

6716 

1847 

7238 

2913 

8900 

6228 

1932 

1 1 

5o 

1.22758 

1.27230 

1. 31904 

r.368oo 

1.41934 

1.47330 

i.53oio 

1.69002 

1.65337 

1.72047 

10 

5i 

283i 

7306 

1984 

6883 

2022 

7422 

3107 

9105 

5445 

2 1 63 

9 

52 

2904 

7382 

2064 

6967 

21 10 

75i4 

32o5 

9208 

6554 

2278 

8 

53 

2977 

7458 

2i44 

7o5o 

2198 

7607 

33o2 

9311 

6663 

2393 

7 

54 

3o5o 

7535 

2224 

7134 

2286 

7699 

3400 

94i4 

6772 

2609 

6 

55 

3i23 

761 1 

23o4 

7218 

2374 

7792 

3497 

9517 

6881 

2626 

5 

56 

3196 

7688 

2384 

7302 

2462 

7885 

3595 

9620 

6990 

2741 

4 

57 

3270 

7764 

2464 

7386 

255o 

7977 

3693 

9723 

6099 

2867 

3 

58 

3343 

7841 

2544 

7470 

2638 

8070 

3791 

9826 

6209 

2973 

2 

59 

34i6 

7917 

2624 

7554 

2726 

8i63 

3888 

9930 

63 1 8 

3089 

1 

39° 

38° 

37° 

36° 

35° 

34° 

33° 

32° 

31° 

30° 

5 

Na 

tural  C( 

D-tangei 

its. 

P.] 

tol 

3 

,;  1.20 

1.25 

i.3i 

1.37 

1.44 

,.5. 

1.59 

1.68 

1.78 

1.88 

128 

Natural  Sines. 

a 

60° 

(51° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

o 

866025 

874620 

882948 

891007 

898794 

9o63o8 

913545 

92o5o5 

927184 

933580 

60 

I 

6171 

4761 

3o84 

1139 

8922 

643i 

3664 

0618 

7293 

3685 

59 

2 

63i6 

4902 

3221 

1270 

9049 

6554 

3782 

0732 

7402 

3789 

58 

3 

646 1 

5o42 

3357 

l4o2 

9176 

6676 

3900 

o846 

75io 

3893 

57 

4 

6607 

5i83 

3493 

i534 

9304 

6799 

4oi8 

0959 

7619 

3997 

56 

5 

6752 

5324 

3629 

1666 

943i 

6922 

4i36 

1072 

7728 

4ioi 

55 

6 

6897 

5465 

3766 

1798 

9558 

7044 

4254 

ii85 

78361   4204 

54 

7 

7042 

56o5 

3902 

1929 

9685 

7166 

4372 

1299 

7945:   43o8 

53 

8 

7187 

5746 

4o38 

2061 

9812 

7289 

4490 

l4l2 

8o53!   44i2 

52 

9 

7331 

5886 

4174 

2192 

9939 

74 1 1 

4607 

i525 

8161 

45i5 

5i 

lo 

867476 

876026 

884309 

892323 

900065 

907533 

914725 

921638 

928270  934619 

5o 

1 1 

7621 

6167 

4445 

2455 

0192 

7655 

4842 

1750 

8378:   4722 

49 

12 

7765 

63o7 

458i 

2586 

o3i9 

7777 

4960 

i863 

8486;   4826 

48 

i3 

7910 

6447 

4717 

2717 

0445 

7899 

5077 

1976 

8594   4929 

47 

i4 

8o54 

6587 

4852 

2848 

0572 

8021 

5194 

2088 

8702   5o32 

46 

i5 

8199 

6727 

4988 

2979 

0698 

8143 

53ii 

2201 

8810 

5i35 

45 

i6 

8343 

6867 

5i23 

3iio 

0825 

8265 

5429 

23i3 

8917 

5238 

44 

I? 

8487 

7006 

5258 

324l 

0951 

8387 

5546 

2426 

90251   534i 

43 

i8 

8632 

7146 

5394 

3371 

1077 

85o8 

5663 

2538 

9133   5444 

42 

'9 

8776 

7286 

5529 

35o2 

1203 

863o 

5779 

265o 

9240   5547 

4i 

20 

868920 

877425 

885664 

893633 

901329 

908751 

915896 

922762 

929348: 93565o 

4o 

21 

9064 

7565 

5799 

3763 

1455 

8872 

6oi3 

2875 

9455!   5752 

39 

22 

9207 

7704 

5934 

3894 

i58i 

8994 

6i3o 

2986 

9562   5855 

38 

23 

9351 

7844 

6069 

4o24 

1707 

91 15 

6246 

3098 

9669   5957 

37 

24 

9495 

7983 

6204 

4i54 

i833 

9236 

6363 

3210 

97761   6060 

36 

25 

9639 

8122 

6338 

4284 

1958 

9357 

6479 

3322 

9884   6162 

35 

26 

9782 

8261 

6473 

44i5 

2084 

9478 

6595 

3434 

9990   6264 

34 

27 

9926 

84oo 

6608 

4545 

2209 

9599 

6712 

3545 

930097   6366 

33 

28 

870069 

8539 

6742 

4675 

2335 

9720 

6828 

3657 

0204 

6468 

32 

29 

0212 

8678 

6876 

48o5 

2460 

9841 

6944 

3768 

o3i  1 

6570 

3i 

3o 

870356 

878817 

887011 

894934 

902585 

909961 

917060 

923880 

93o4i8 

936672 

3o 

3i 

0499 

8956 

7145 

5o64 

2710 

910082 

7176 

3991 

o524   6774 

29 

32 

0642 

9095 

7279 

5194 

2836 

0202 

7292 

4 102 

o63i 

6876 

28 

33 

0785 

9233 

74i3 

5323 

2961 

o323 

7408 

42l3 

0737 

6977 

27 

34 

0928 

9372 

7548 

5453 

3o86 

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7523 

4324 

0843 

7079 

26 

35 

1071 

9510 

7681 

5582 

3210 

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7639 

4435 

0950 

7181 

25 

36 

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9649 

7815 

5712 

3335 

0684 

7755 

4546 

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7282 

24 

37 

1357 

9787 

7949 

584i 

3460 

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7870 

4657 

1 162 

7383 

23 

38 

1499 

9925 

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5970 

3585 

0924 

7986 

4768 

1268 

7485 

22 

39 

1642 

88oo63 

8217 

6099 

3709 

1044 

8101 

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1374 

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871784 

880201 

888350 

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903834 

911164 

918216 

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937687 

20 

4i 

1927 

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7788 

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42 

2069 

0477 

8617 

6486 

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8446 

5210 

1691 

7889 

18 

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2212 

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8751 

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4207 

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856i 

5320 

1797 

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17 

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1643 

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1902 

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9017 

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2638 

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53 

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2715 

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3772 

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02 1 3 

8028 

5569 

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6529 

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55 

3914 

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56 

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6747 

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4 

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4196 

2538 

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3190 

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3267 

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3 

58 

4338 

2674 

0742 

8539 

6062 

3309 

0277 

6966 

3372 

9493 

2 

59 

4479 

2811 

0874 

8666 

6i85 

3427 

0391 

7075 

3476 

9593 

I 

29° 

28° 

27° 

26° 

25° 

24° 

23° 

22° 

21° 

20° 

a 

ii 

^ 

Natural 

Co-sinet 

?. 

l!i-'9 

2.3l 

2.24 

2. 16 

2 .09 

2.01 

1.93 

1.86 

1.78 

1 .70 

JST  ATUKAL 

Tangents. 

129 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

69° 

O 

1.73205 

i.8o4o5 

1.88073 

1. 96261 

2.o5o3o 

2.i445i 

2.24604 

2.35585 

2.47509 

3.6o5o9 

60 

1 

3321 

0529 

8205 

64o2 

5182 

46i4 

4780 

5776 

7716 

0736150! 

2 

3438 

o653 

8337 

6544 

5333 

4777 

4956 

5967 

7924 

oq63 

58 

3 

3555 

0777 

8469 

6685 

5485 

4940 

5i32 

6i58 

8 1 32 

1 1 90 

5? 

4 

3671 

0901 

8602 

6827 

5637 

5io4 

5309 

6349 

834o 

i4i8 

56 

5 

3788 

I025 

8734 

6969 

5790 

5268 

5486 

654i 

8549 

1646  55 

6 

3905 

1  i5o 

8867 

71 1 1 

5942 

5432 

5663 

6733 

8758 

187454 

7 

4o22 

1274 

9000 

7253 

6094 

5596 

584o 

6925 

8967 

2io3  53 

8 

4i4o 

1399 

9133 

7395 

6247 

5760 

6018 

7118 

9177 

2882 

52 

9 

4257 

1 524 

9266 

7538 

64oo 

5925 

6196 

7811 

9886 

256i 

5i 

10 

r. 74375 

1. 81649 

1.89400 

1. 97681 

2.06553 

2.16090 

2.26374 

2.37504 

2.49597 

3.62791 

5o 

1 1 

449'-i 

1774 

9533 

7823 

6706 

6255 

6552 

7697 

9807 

8021 

49 

12 

4G10 

1899 

9667 

7966 

6860 

6420 

6780 

7891 

2.5ooi8 

8252 

48 

i3 

4728 

2025 

9801 

8110 

7014 

6585 

6909 

8084 

0229 

3488 

47 

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4846 

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9935 

8253 

7167 

6751 

7088 

8279 

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8714 

46 

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4964 

2276 

1.90069 

8396 

7321 

6917 

7267 

8473 

o652 

3945 

45 

i6 

5o82 

2402 

0203 

854o 

7476 

7083 

7447 

8668 

0864 

4177 

44 

17 

5  2  00 

2528 

0337 

8684 

7630 

7249 

7626 

8863 

1076 

44 10 

43 

i8 

53i9 

2654 

0472 

8828 

7785 

7416 

7806 

9o58 

1289 

4642 

42 

19 

5437 

2780 

0607 

8972 

7939 

7582 

7987 

9253 

l502 

4875 

4i 

20 

1.75556 

t. 82906 

1. 90741 

1. 991 16 

2.08094 

2.17749 

2.28167 

2.39449 

2.5i7i5 

2.65i09 

4o 

21 

5675 

3o33 

0876 

9261 

825o 

7916 

8348 

9645 

1929 

5342 

89 

22 

5794 

3i59 

I0I2 

9406 

84o5 

8084 

8528 

9841 

2142 

5576 

88 

23 

5913 

3286 

ii47 

9550 

856o 

825i 

8710 

2.4oo38 

2857 

58ii 

37 

24 

6o32 

34i3 

1282 

9695 

8716 

8419 

8891 

0235 

2571 

6o46 

36 

25 

6i5i 

3540 

i4i8 

9841 

8872 

8587 

9073 

o432 

2786 

6281 

35 

26 

6271 

3667 

i554 

9986 

9028 

8755 

9254 

0629 

3ooi 

65i6 

34 

27 

6390 

3794 

1690 

2.00l3l 

9184 

8923 

9437 

0827 

8217 

6752 

33 

28 

65io 

3922 

1826 

0277 

9341 

9092 

9619 

1025 

8482 

6989 

32 

29 

663o 

4o49 

1962 

o423 

9498 

9261 

9801 

1223 

8648 

7225 

3i 

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r.76749 

1. 84177 

1.92098 

2.00569 

2.09654 

2.19430 

2.29984 

2.4142I 

2.53865 

2.67462 

80 

3i 

6869 

43o5 

2235 

0715 

9811 

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2.30167 

1620 

4082 

7700 

29 

32 

6990 

4433 

2371 

0862 

9969 

9769 

o35i 

1819 

4299 

7987 

28 

33 

71 10 

456i 

25o8 

1008 

2.10126 

9938 

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2019 

45i6 

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27 

34 

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4689 

2645 

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0284 

2.20108 

0718 

2218 

4734 

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26 

35 

735i 

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2782 

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2418 

4952 

8653 

25 

36 

7471 

4946 

2920 

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0600 

0449 

1086 

2618 

5170 

8892 

24 

37 

7592 

5075 

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1596 

0758 

0619 

1271 

2819 

5389 

9181 

23 

38 

7713 

52o4 

3195 

1743 

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0790 

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3019 

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22 

39 

7834 

5333 

3332 

1891 

1075 

0961 

i64i 

3220 

5827 

9612 

21 

40 

1.77955 

1.85462 

1.93470 

2.02039 

2.11233 

2.2Il32 

2.31826 

2.43422 

2.56o46 

2.69853 

20 

41 

8077 

5591 

36o8 

2187 

1892 

i3o4 

2012 

3623 

6266 

2.70094 

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42 

8198 

5720 

3746 

2335 

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1475 

2197 

3825 

6487 

o835 

18 

43 

8319 

585o 

3885 

2483 

1711 

1647 

2383 

4027 

6707 

0577 

17 

44 

844i 

5979 

4o23 

263i 

1871 

1819 

2570 

4280 

6928 

0819 

16 

45 

8563 

6109 

4162 

2780 

2o3o 

1992 

2756 

4433 

7i5o 

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8685 

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2929 

2190 

2164 

2943 

4636 

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8807 

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4440 

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2337 

3i3o 

4889 

7598 

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18 

48 

8929 

6499 

4579 

3227 

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1792 

12 

49 

905 1 

663o 

4718 

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2671 

2683 

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8088 

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II 

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1. 79174 

1.86760 

1.94858 

2.03526 

2.12832 

2.22857 

2.33693 

2.45451 

2.58261 

2.72281 

10 

5i 

9296 

6891 

4997 

3675 

2993 

3o3o 

388i 

5655 

8484 

2526 

9 

52 

9419 

7021 

5i37 

3825 

3i54 

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4069 

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8708 

2771 

8 

53 

9542 

7i52 

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33i6 

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8982 

8017 

7 

54 

9665 

7283 

5417 

4i25 

3477 

3553 

4447 

6270 

9i56 

3263 

6 

55 

9788 

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5557 

4276 

3639 

3727 

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3509 

5 

56 

9911 

7546 

5698 

4426 

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3902 

4825 

6682 

9606 

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4 

57 

1.80034 

7677 

5838 

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3963 

4077 

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4oo4 

3 

58 

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7809 

6979 

4728 

4i25 

4252 

52o5 

7095 

2.60057 

425i 

2 

59 

0281 

7941 

6120 

4879 

4288 

4428 

5395 

7802 

0288 

4499 

I 

•2{\° 

28° 

27° 

26° 

25° 

24° 

23° 

22° 

21° 

20° 

i 

Na 

tural  C( 

D-tanger 

its. 

P.] 

tol 

p 

,*  2.00 

2.l3 

2.27 

2.44 

2.62 

2.82 

3.o5 

3.3i 

3.61 

3.95 

130 

Natural  Sines. 

a 
O 

70°   71° 

72° 

73° 

74°    75° 

76° 

77° 

78° 

79° 

939693 

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970296 

974370 

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981627  60 

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6729 

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1904  55 

6 

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1 74 1 

6376 

0716 

4761 

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1959  54 

7 

0387 

6180 

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0786 

4826 

8569 

2014  53 

8 

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6274 

1773 

6983 

1901 

6526 

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4891 

8629 

2069  52 

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1862 

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6600 

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957151 

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975020 

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2i39 

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12 

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1   6649 

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5917 

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26 

2252 

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3o42  34 

27 

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3096  33 

28 

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29 

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28 

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34 

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35 

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5 

56 

5 1 39 

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57 

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2 

59 

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8087 

1572 

4757 

1 

19° 

18° 

17° 

16°    15° 

14° 

13° 

12° 

I 

11° 

10° 

ii 

Natural  Co-sines 

1. 

P.P 
tol 

•,  1 .  62 

1.54 

1.46 

1.38 

1 .3o 

1 .21 

I .  i3 

i.o5 

0.97 

0.88 

1 

Natural 

Tangents. 

131 

70° 

71° 

72° 

73° 

74° 

75° 

76° 

77° 

78° 

79° 

0 

2.74748 

2.90421 

3.07768 

3.27085  3.4t<74i 

3.73205 

4.01078 

4.33i48 

4.70453 

5.14455  60 

I 

4997 

0696 

8073 

7426 

9125 

364o 

1576 

3723 

1137 

5256  59 

2 

5246 

0971 

8379 

7767 

9509 

4075 

2074 

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i8i3 

6o58  58 

3 

5496 

1246 

8685 

8109 

9894 

45i2 

2574 

4879 

2490 

6863 

57 

4 

5746 

i523 

8991 

8452 

3.50279 

4950 

3076 

5459 

3170 

7671  56 

5 

5996 

1799 

9298 

8795 

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5388 

3578 

6o4o 

385i 

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6 

6247 

2076 

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5828 

4o8i 

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9293  54 

7 

6498 

2354 

9914 

9483 

i44i 

6268 

4586 

7207 

5219 

5.20107 

53 

8 

6750 

2632 

3.I0223 

9829 

1829 

6709 

5092 

7793 

5906 

0925  52  1 

9 

7002 

2910 

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2219 

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5599 

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3.77254 

2.93189 

3.10842  3.3o52i 

3.52609 

3.77595 

4.06107 

4.38969 

4.77286 

5.22566 

50 

II 

7507 

3468 

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4.10216 

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2.79802 

2.96004 

3.13972 

3.34023 

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3.82083 

4.1 1256 

4.44942 

4.84300 

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21 

2.80059 

6288 

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2.90147 

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19° 

18° 

17° 

16° 

15° 

14° 

13°    12° 

11° 

10° 

i 

Natural  Co-tangents, 

P. 

to 

[:m.35 

4.82 

5.36 

6.01 

6.79 

7.73 

8.90 

10.35  12.20 

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132 

Natural  Sines. 

—      T" 

1 

1 

80° 

81° 

82° 

83° 

84° 

85° 

86° 

87° 

88° 

89° 

o 
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2 

3 

4 
5 

984808 
4858 
4909 
4959 
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7779 

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0389; 
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2617 

2652 

2687 

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6245 
6270 
6295 

997564 
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7604 
7625 
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9401 
9411 
9421 
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0469 

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2757 
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7 

8 

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2827 

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990669 

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52 

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53 

7368 

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54 

74i4 

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2332 

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6 

55 

7460 

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5 

56 

7506 

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4 

57 

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9360 

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1. 00000 

3 

58 

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2 

59 

7643 

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25ll 

4491 

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7544 

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9381 

9843   0000 

I 

9° 

8° 

7° 

6° 

5° 

4° 

3° 

2° 

1°    0° 

d 

ii 

Natural  Co-sines. 

ro?\-«° 

0.72 

0.63 

0.55 

0.46 

0.38 

o.3o 

0.21 

o.i3 

o.o4 

1 

Natural 

Tangents. 

133 

a 
?5 

80° 

81° 

82° 

83° 

84° 

85° 

86° 

87° 

88° 

89° 

O 

5.67128 

6.31375 

7. 1x537 

8.14435 

9.5x436 

IX.430X 

14.3007 

19.081 1 

28.6363 

57.2900 

60 

I 

8094 

2566 

3o42 

6398 

4 1 06 

4685 

3607 

1879 

877X 

58.26x2 

59 

5b 

2 

9064 

3761 

4553 

8370 

6791 

5072 

4212 

2959 

29.X220 

59.2659 

3 

5.70037 

4961 

6071 

8.20352 

9490 

546x 

482  3 

4o5i 

371X 

6o.3o58 

57 

4 

ioi3 

6i65 

7594 

2344 

9.62205 

5853 

5438 

5x56 

6245 

6X.3829 

56 

5 

1992 

7374 

9125 

4345 

4935 

6248 

6059 

6273 

8823 

62.4992 

55 

6 

2974 

8587 

7.20661 

6355 

7680 

6645 

6685 

74o3 

3o.i446 

63.6567 

54 

7 

3960 

9804 

22o4 

8376 

9.70441 

7045 

7317 

8546 

4xx6 

64.8580 

53 

8 

4949 

6.41026 

3754 

8.3o4o6 

3217 

7448 

7954 

9702 

6833 

66.1055 

52 

9 

5941 

2253 

53io 

2446 

6009 

7853 

8596 

20.0872 

9599 

67.4019 

5i 

10 

5.76937 

6.43484 

7.26873 

8.34496 

9.78817 

I  X.8262 

14.9244 

20.2o56 

3i.24i6 

68.7501 

5o 

1 1 

7936 

4720 

8442 

6555 

9.81641 

8673 

9898 

3253 

5284 

70.1533 

49 

12 

8938 

5961 

7.30018 

8625 

4482 

9087 

i5.o557 

4465 

82o5 

71.61 5  X 

48 

i3 

9944 

7206 

1600 

8.40705 

7338 

95o4 

1222 

5691 

32.xi8x 

73.1390 

47 

i4 

5.80953 

8456 

3190 

2795 

9.9021 1 

9923 

1893 

6932 

42i3 

74.7292 

46 

i5 

1966 

9710 

4786 

4896 

3iai 

12.0346 

2571 

8188 

73o3 

76.3900 

45 

i6 

2982 

6.50970 

6389 

7007 

6007 

0772 

3254 

9460 

33.0452 

78.1263 

44 

17 

4ooi 

2234 

7999 

9128 

8931 

1201 

3943 

21.0747 

3662 

79-9434 

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18 

5o24 

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4638 

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42 

19 

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4777 

7.41240 

3402 

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2067 

5340 

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34.0273 

83.8435 

4i 

20 

5.87080 

6.56o55 

7.42871 

8.55555 

10.0780 

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i5.6o48 

21.4704 

34.3678 

85.9398 

4o 

21 

8ii4 

7339 

4509 

77x8 

1080 

2946 

6762 

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88.X436 

39 

22 

9i5i 

8627 

6i54 

9893 

i38i 

3390 

7483 

7426 

35.0695 

90.4633 

38 

23 

5.90191 

9921 

7806 

8.62078 

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3838 

8211 

88x3 

43x3 

92.9085 

37 

24 

1236 

6.61219 

9465 

4275 

1988 

4288 

8945 

22.02x7 

8006 

95.4895 

36 

25 

2283 

2523 

7.5x  i32 

6482 

2294 

4742 

9687 

x64o 

36.1776 

98.2179 

35 

26 

3335 

383i 

2806 

8701 

2602 

5x99 

16.0435 

3o8i 

5627 

101.107 

34 

27 

4390 

5i44 

4487 

8.70931 

2913 

566o 

1x90 

4541 

9560 

104.171 

33 

28 

5448 

6463 

6176 

3172 

3224 

6124 

1952 

6020 

37.3579 

107.426 

32 

29 

65io 

7787 

7872 

5425 

3538 

659X 

2722 

75x9 

7686 

1 10.892 

3i 

3o 

5.97576 

6.691 16 

7.59575 

8.77689 

10. 3854 

12.7062 

16.3499 

22.9038 

38.1885 

114.589 

3o 

3[ 

8646 

6.70450 

7.61287 

9964 

4172 

7536 

4283 

23.0577 

6x77 

X18.540 

29 

32 

9720 

1789 

3oo5 

8.82252 

4491 

8014 

5075 

2x37 

39.0568 

122.774 

28 

33 

6.00797 

3x33 

4732 

455i 

48x3 

8496 

5874 

37x8 

5o59 

127.321 

27 

34 

1878 

4483 

6466 

6862 

5x36 

8981 

6681 

5321 

9655 

X32.2X9 

26 

35 

2962 

5838 

8208 

9185 

5462 

9469 

7496 

6945 

40.4358 

X37.507 

25 

36 

4o5i 

7199 

9957 

8.91520 

5789 

9962 

83i9 

8593 

9x74 

X43.237 

24 

37 

5i43 

8564 

7.71715 

3867 

6118 

i3.o458 

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24.0263 

4 1. 4 1 06 

149.465 

23 

38 

6240 

9936 

3480 

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0958 

9990 

1957 

9x58 

i56.259 

22 

39 

7340 

6.8i3i2 

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8598 

6783 

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17.0837 

3675 

42.4335 

163.700 

21 

4o 

6.08444 

6.82694 

7.77035 

9.00983 

10.71 19 

13.1969 

17.1693 

24.5418 

42.9641 

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20 

4i 

9552 

4082 

8825 

3379 

7457 

2480 

2558 

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43.5o8i 

180.932 

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42 

6.10664 

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7.80622 

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7797 

2996 

3432 

8978 

44.0661 

190.984 

18 

43 

1779 

6874 

2428 

821X 

8x39 

35i5 

43i4 

25.0798 

6386 

202.2x9 

17 

44 

2899 

8278 

4242 

9.10646 

8483 

4039 

52o5 

2644 

45.2261 

2x4.858 

x6 

45 

4o23 

9688 

6064 

3093 

8829 

4566 

6106 

4517 

8294 

229. X82 

x5 

46 

5i5i 

6.91104 

7895 

5554 

9x78 

509S 

70x5 

64i8 

46.4489 

245.552 

i4 

47 

6283 

2525 

9734 

8028 

9529 

5634 

7934 

8348 

47.0853 

264.441 

i3 

48 

7419 

3952 

7.91582 

9.2o5i6 

9882 

6174 

8863 

26.0307 

7395 

286.478 

12 

49 

8559 

5385 

3438 

3oi6 

1  X.0237 

67.9 

9802 

2296 

48.4121 

3X2.521 

II 

5o 

6.19703 

6.96823 

7.95302 

9.25530 

I  X.0594 

X3.7267 

18.0750 

26.4316 

49.1039 

343.774 

10 

5i 

6.2o85i 

8268 

7176 

8o58 

0954 

7821 

1708 

6367 

8i57 

38I.97X 

9 

52 

2oo3 

9718 

9o58 

9.30599 

i3i6 

8378 

2677 

845o 

50.5485 

429.7x8 

8 

53 

3i6o 

7.01174 

8.00948 

3i55 

1681 

8940 

3655 

27.0566 

5x.3o32 

491.106 

7 

54 

4321 

2637 

2848 

5724 

2o48 

9507 

4645 

27x5 

52.0807 

572.957 

6 

55 

5486 

4io5 

4756 

83o7 

2417 

14.0079 

5645 

4899 

8821 

687.549 

5 

56 

6655 

5579 

6674 

9.40904 

2789 

o655 

6656 

7XX7 

53.7086 

859.436 

4 

57 

7829 

7059 

8600 

35i5 

3i63 

1235 

7678 

9372 

54.56x3 

1 145.92 

3 

58 

'      7 

9007 
6.30189 

8546 

8.10536 

6i4i 

3540 

1821 

871X 

28.1664 

55.44i5 

1718.87 

2 

59 

7.ioo38 

2481 

8781 

3919 

24ll 

9755 

3994 

56.35o6 

3437.75 

I 

9° 

8° 

7° 

6° 

5° 

4° 

3° 

2° 

1° 

0° 

3 

Natural  C 

3-tanger 

its. 

1 r ' ' 

P-P;_i7.8„  22.19 

28.46 

37.83 

5.28 

7.88 

i3.oi 





134 


Natural  Secants. 


Deg. 

0' 

10' 

20' 

30' 

40' 

50' 

P.  Part 

to  r . 

O 

I .000000 

1 .000004 

1 .000017 

1 .000088 

1 .000068 

I .000106 

89 

2.5 

I 

0001 52 

000207 

000271 

000843 

000428 

ooo5i2 

88 

7.6 

2 

000609 

000715 

000880 

000953 

001084 

001224 

87 

12.7 

3 

001872 

001529 

001695 

001869 

00205l 

002242 

86 

17.8 

4 

002442 

002600 

002867 

008092 

008826 

003569 

85 

22.9 

5 

oo3820 

oo4o8o 

004348 

004625 

004911 

oo52o5 

84 

28.1 

6 

oo55o8 

005820 

006141 

006470 

006808 

007154 

83 

88.3 

7 

007510 

007874 

008247 

008629 

009020 

009419 

82 

38.6 

8 

009828 

010245 

010671 

011106 

oii55o 

012008 

81 

43.9 

9 

012465 

012986 

oi34i6 

018905 

oi44o3 

014910 

80 

49.8 

lO 

I .015427 

I .015952 

1 .016487 

I .017080 

1.017588 

I. 018145 

79 

54.8 

II 

018717 

019297 

019887 

020487 

021095 

021718 

78 

60.4 

12 

02234l 

022977 

028624 

024280 

024945 

025620 

77 

66.0 

i3 

o263o4 

026998 

027702 

o284i5 

029188 

029871 

76 

71.8 

i4 

o3o6i4 

o3i366 

032128 

082900 

088682 

034474 

75 

77-7 

i5 

035276 

086088 

086910 

087742 

088584 

089487 

74 

88.7 

i6 

040299 

o4i 172 

o42o55 

042949 

o43858 

044767 

73 

89.8 

I? 

045692 

046627 

047578 

048529 

049496 

o5o474 

72 

96. 1 

i8 

o5i462 

o5246i 

053471 

054492 

055524 

o56567 

71 

102.6 

19 

057621 

o58686 

059762 

060849 

061947 

o63o57 

70 

109.2 

20 

I .064178 

i.o653io 

1 .066454 

1 .067609 

I .068776 

1 .069955 

69 

1 16. 1 

21 

071 i45 

072847 

078561 

074786 

076024 

077278 

68 

123.2 

22 

078535 

079808 

081094 

082892 

088708 

o85o25 

67 

180.4 

23 

o8636o 

087708 

089068 

090441 

091827 

098225 

66 

187.9 

24 

094636 

096060 

097498 

098948 

ioo4ii 

101888 

65 

145.6 

25 

103378 

io488i 

106898 

107929 

109478 

11 io3o 

64 

153.7 

26 

112602 

114187 

115787 

117400 

1 19028 

120670 

63 

162.0 

27 

122826 

128997 

125682 

127882 

129096 

180826 

62 

170.7 

28 

182570 

134329 

i36io4 

187898 

189698 

i4i5i8 

61 

179.7 

29 

143354 

i452o5 

147078 

148956 

i5o854 

152769 

60 

189.1 

3o 

I .154701 

1. 156648 

i.i586i2 

1 .160592 

1.162589 

1.164608 

59 

198.9 

3i 

166683 

168681 

170746 

172828 

174927 

177044 

58 

209.  1 

32 

179178 

181881 

i835oi 

185689 

187895 

190120 

57 

219.7 

33 

192868 

194625 

196906 

199205 

201528 

208861 

56 

280.9 

34 

206218 

208594 

210991 

2i34o6 

2l5842 

218298 

55 

242.6 

35 

220775 

228271 

225789 

228827 

23o886 

283466 

54 

254.8 

36 

286068 

288691 

24i336 

244oo3 

246691 

249402 

58 

267.7 

37 

252186 

254892 

257671 

260472 

268298 

266146 

52 

281.3 

38 

269018 

271914 

274834 

277779 

280748 

283741 

5i 

295.6 

39 

286760 

289808 

292872 

295967 

299088 

802284 

5o 

810.7 

4o 

I .805407 

1.808607 

1.811888 

1.815087 

1.818868 

1 .821677 

49 

826.7 

4i 

325oi3 

828878 

881771 

335192 

338643 

342128 

48 

843.6 

42 

345633 

349172 

352742 

356342 

359972 

868684 

47 

361.5 

43 

867827 

871052 

374809 

878598 

382420 

886275 

46 

880.5 

44 

890164 

894086 

898042 

402082 

4o6o57 

410118 

45 

4oo.  7 

45 

4i42i4 

4i8345 

4225i3 

426718 

480960 

435289 

44 

422  8 

46 

439557 

443912 

448806 

452740 

457218 

461726 

48 

445.3 

47 

466279 

470874 

475509 

480187 

484907 

489670 

42 

469.8 

48 

494477 

499827 

5o422I 

509160 

5i4i45 

519176 

4i 

496.2 

49 

524253 

529877 

534549 

589769 

545088 

55o356 

4o 

524.4 

5o 

1.555724 

1 .56ii42 

1.566612 

1.572134 

1 .577708 

1.583835 

39 

554.7 

5i 

589016 

594751 

600542 

606888 

612291 

6i825i 

88 

587.4 

52 

624269 

680846 

636483 

642680 

648988 

655258 

37 

623.7 

53 

661640 

668086 

674597 

681178 

687815 

694524 

86 

660  9 

54 

701802 

708148 

7i5o64 

722o5l 

729110 

786241 

35 

702 . 2 

55 

743447 

750727 

758084 

765517 

778029 

780620 

34 

747 '2 

56 

788292 

796045 

808881 

811801 

819806 

827899 

33 

796.2 

57 

886078 

844348 

852707 

861159 

869704 

878344 

82 

849.8 

58 

887080 

895914 

904847 

918881 

928017 

982258 

3i 

908.5 

59 

94i6o4 

95io58 

960621 

970294 

980081 

989982 

80 

973.0 

60' 

50' 

40' 

80' 

20' 

10' 

Deg. 

Natur 

al  Co-seca 

DtS. 

Natueal  Secants. 

135 

Deg. 

0' 

10' 

20' 

30' 

40' 

50' 

r.  l'»rt 

to  r. 

60 

2.000000 

2.0I0I36 

2.020393 

2.030772 

2.041276 

2.051906 

29 

io44 

61 

062665 

073556 

084579 

095739 

107036 

118474 

28 

1123 

62 

i3oo54 

141781 

153655 

i6568i 

177859 

190195 

27 

1210 

63 

202689 

2i5346 

228168 

24ii58 

254320 

267657 

26 

i3o8 

64 

281172 

294869 

308750 

322820 

337083 

35i542 

25 

1417 
1539 
1678 

65 

366202 

38io65 

396137 

4ii42i 

426922 

442645 

24 

66 

458593 

474773 

491187 

507843 

524744 

541896 

23 

67 

559305 

576975 

594914 

6i3i26 

63i6i8 

650396 

22 

i835 

68 

669467 

688837 

7o85i4 

7285o4 

748814 

769453 

21 

20 1 5 

69 

790428 

811747 

833419 

855451 

877853 

900635 

20 

2222 

70 

2.923804 

2.947372 

2.971349 

2.995744 

3.020569 

3.045835 

19 

2461 

71 

3.071553 

3.097736 

3. 124396 

3.i5i545 

179198 

207367 

18 

2740 

72 

236o68 

2653i5 

295123 

3255io 

356490 

388082 

17 

3o68 

73 

42o3o4 

453173 

486711 

520937 

555871 

591536 

16 

3458 

74 

627955 

665i52 

7o3i5i 

741978 

781660 

822225 

i5 

3925 
4492 

75 

863703 

906125 

949522 

993929 

4.039380 

4.085913 

i4 

76 

4.133565 

4.182378 

4.232394 

4.283658 

336215 

3901 16 

1 3 

5190 
6062 

77 

44541 1 

5o2i57 

56o4o8 

620226 

681675 

744821 

12 

78 

809734 

876491 

945169 

5.oi5852 

5.088628 

5.163592 

1 1 

71 71 

79 

5.240843 

5.320486 

5.402633 

487404 

574926 

665333 

10 

8612 

80 

5.758770 

5,855392 

5.955362 

6.058858 

6.166067 

6.277193 

9 

81 

6.392453 

6.5i2o8i 

6.636329 

6,765469 

6.899794 

7.039622 

8 

82 

7. 185297 

7.337191 

7-495711 

7,661298 

7.834433 

8.0I5645 

7 

83 

8.2o55o9 

8.4o4659 

8.613790 

8.833671 

9.o65i5i 

9.309170 

6 

84 

9.566772 

9.839123 

10. 12752 

10.43343 

10,75849 

11 .10455 

5 

85 

II. 47371 

11.86837 

12.29125 

12.74549 

13.23472 

i3. 76311 

4 

86 

14.33559 

14.95788 

i5. 63679 

i6,38o4i 

17.19843 

18. 10262 

3 

87 

19. 10732 

20.23028 

21.49368 

22.92559 

24.56212 

26.45o5i 

2 

88 

28.65371 

3i, 25758 

34.38232 

38.20155 

42.97571 

49. ii4o6 

I 

1 

89 

57.29869 

68.75736 

85.94561 

114.5930 

171.8883 

343.7752 

0 

60' 

50' 

40' 

30' 

20' 

10' 

Deg. 

Natural  Co-secants, 

LENGTHS  OF  CIRCULAR  ARCS. 

Degrees. 

Minutes. 

Seconds. 

0 

I 

.0174533 

0 
26 

.4537856 

0 

5i 

.8901179 

/ 
I 

.0002909 

// 
1 

.0000048 

2 

.0349066 

27 

.4712389 

52 

.9075712 

2 

.ooo58i8 

2 

.0000097 

3 

.0523599 

28 

.4886922 

53 

.9250245 

3 

.0008727 

3 

.0000145 

4 

.0698132 

29 

.5o6i455 

54 

.9424778 

4 

.ooii636 

4 

.0000194 

5 

.0872665 

3o 

.5235988 

55 

.959931 1 

5 

.0014544 

5 

.0000242 

6 

. 1047198 

3i 

.54io52i 

56 

•9773844 

6 

.0017453 

6 

,0000291 

7 

. 1221730 

32 

.5585o54 

57 

.9948377 

7 

.0020362 

7 

.0000339 

8 

.  1396263 

33 

.5759587 

58 

I .0122910 

8 

.0023271 

8 

.0000888 

9 

.1570796 

34 

.59341 19 

59 

I .0297443 

9 

.0026180 

9 

.0000436 

10 

.1745329 

35 

.6io8652 

60 

I .0471976 

10 

.0029089 

10 

.oooo485 

1 1 

.  1919862 

36 

.6283i85 

65 

1. 1 344640 

11 

.0031998 

11 

.oooo533 

12 

.2094395 

37 

.6457718 

70 

1 ,2217305 

12 

.0034907 

12 

.oooo582 

i3 

.2268928 

38 

.6632251 

75 

I ,3089969 

i3 

.0037815 

i3 

.oooo63o 

i4 

.2443461 

39 

.6806784 

80 

1,3962634 

14 

.0040724 

i4 

.0000679 

i5 

.2617994 

4o 

.6981317 

85 

I ,4835299 

i5 

.oo43633 

i5 

.0000727 

16 

.2792527 

4i 

.7i5585o 

90 

I ,5707963 

16 

.oo46542 

16 

.0000776 

17 

.2967060 

43 

.733o383 

100 

1.7453293 

I? 

.0049451 

17 

.0000824 

18 

.3i4i593 

43 

.7504916 

1 10 

1 .9198622 

18 

.oo5236o 

18 

.0000873 

19 

.3316126 

44 

,7679449 

120 

2.0943951 

19 

.0055269 

19 

.0000921 

20 

.3490659 

45 

.7853982 

i3o 

2.2689280 

20 

.0058178 

20 

.0000970 

21 

.3665191 

46 

.8o285i5 

i4o 

2.4434610 

25 

.0072722 

25 

.0001212 

22 

.3839724 

47 

.8203047 

i5o 

2,6179939 

3o 

.0087266 

3o 

.0001454 

23 

.4014257 

48 

.8377580 

160 

2.7925268 

4o 

.0116355 

4o 

.0001939 

24 

.4188790 

49 

.8552113 

170 

2.9670597 

5o 

.0145444 

5o 

.0002424 

25 

,4363323 

5o 

.8726646 

180 

3. 1415927 

60 

.0174533 

60 

.0002909 

136 


Travekse    Table. 


a 

1 

P 
I 

'A  Dog. 

'%  Deg. 

%  Deg. 

IDeg. 

IK  Deg. 

IK  Deg. 

0 

a 

I 

t>al. 

Dep. 

Lat. 

Dep. 

I.at. 

Dep. 
O.OI 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 
1. 00 

Dep.  ! 

1. 00 

0.00 

1. 00 

O.OI 

1. 00 

1. 00 

0.02 

1. 00 

0.02 

o.o3 

2 

2.00 

O.OI 

2.00 

0.02 

2.00 

o.o3 

2.00 

o.o3 

2.00 

o.o4 

2.00 

o.o5 

2 

3 

3.00 

O.OI 

3.00 

o.o3 

3.00 

o.o4 

3.00 

o.o5 

3.00 

0.07 

3.00 

0.08 

3 

4 

4.00 

0.02 

4.00 

o.o3 

4.00 

o.o5 

4.00 

0.07 

4.00 

0.09 

4.00 

0.10 

4 

5 

5.00 

0.02 

5.00 

o.o4 

5.00 

0.07 

5.00 

0.09 

5.00 

O.II 

5.00 

o.i3 

5 

6 

6.00 

o.o3 

6.00 

o.o5 

6.00 

0.08 

6.00 

O.IO 

6.00 

o.i3 

6.00 

0.16 

6 

7 
8 

7.00 
8.00 

o.o3 

7.00 

0.06 

7.00 

0.09 

7.00 

0.12 

7.00 

o.i5 

7.00 

0.18 

7 

o.o3 

8.00 

0.07 

8.00 

O.IO 

8.00 

o.i4 

8.00 

0.17 

8.00 

0.21 

8 

9 

10 

9.00 

o.o4 

9.00 

0.08 

9.00 

0.12 

9.00 

0.16 

9.00 

0.20 

9.00 

0.24 

9 

10.00 

o.o4 

10.06 

0.09 

lO.OO 

o.i3 

10.00 

0.17 

10.00 

0.22 

10.00 

0.26 

10 

II 

11.00 

o.o5 

11.00 

O.IO 

11.00 

o.i4 

11.00 

0.19 

11.00 

0.24 

11.00 

0.28 

1 1 

12 

12.00 

o.o5 

12.00 

O.IO 

12.00 

0.16 

12.00 

0.21 

12.00 

0.26 

12.00 

o.3i 

12 

i3 

I  3.00 

0.06 

i3.oo 

O.II 

1 3.00 

0.17 

i3.oo 

0.23 

i3.oo 

0.28 

i3.oo 

0.34 

i3 

i4 

14.00 

0.06 

i4.oo 

0.12 

14.00 

0.18 

1 4.00 

0.24 

l4.00 

o.3i 

14.00 

0.37 

i4 

i5 

i5.oo 

0.07 

i5.oo 

o.i3 

i5.oo 

0.20 

i5.oo 

0.26 

! 

i5.oo 

0.33 

14.99 

0.39 

i5 

i6 

16.00 

0.07 

16.00 

o.i4 

16.00 

0.21 

16.00 

0.28 

16.00 

0.35 

15.99 

0.42 

16 

37 
18 

17.00 

0.07 

17.00 

o.i5 

17.00 

0.22 

17.00 

o.3o 

17.00 

0.37 

16.99 

0.45 

17 

18.00 

0.08 

18.00 

0.16 

18.00 

0.24 

18.00 

o.3i 

18.00 

0.39 

17.99 

0.47 

18 

19 
20 

19.00 

0.08 

ig.oo 

0.17 

19.00 

0.25 

19.00 

0.33 

19.00 

o.4i 

18.99 

o.5o 

19 

20.00 

0.09 

20.00 

0.17 

20.00 

0.26 

20.00 

0.35 

20.00 

0.44 

19.99 

0.52 

20 

21 

21.00 

0.09 

21.00 

0.18 

21.00 

0.27 

21.00 

0.57 

21.00 

0.46 

20.99 

0.55 

21 

22 

22.00 

O.IO 

22.00 

0.19 

22.00 

0.29 

22.00 

0.38 

21.99 

0.48 

21.99 

0.58 

22 

23 

23.00 

O.IO 

23.00 

0.20 

23.00 

o.3o 

23.00 

o.4o 

22.99 

o.5o 

22.99 

0.60 

23 

24 

24.00 

O.IO 

24.00 

0.21 

24.00 

o.3i 

24.00 

0.42 

23.99 

0.52 

23.99 

0.63 

24 

25 

25.00 

O.I  I 

25.00 

0.22 

25.00 

0.33 

25.00 

0.44 

24.99 

0.55 

24.99 

0.65 

2  5 

26 

26.00 

O.II 

26.00 

0.23 

26.00 

0.34 

26.00 

0.45 

25.99 

0.57 

25.99 

0.68 

26 

27 

27.00 

0.12 

27.00 

0.24 

27.00 

0.35 

27.00 

0.47 

26.99 

0.59 

26.99 

0.71 

27 

28 

28.00 

0.12 

28.00 

0.24 

28.00 

0.37 

28.00 

0.49 

27.99 

0.61 

27.99 

0.73 

28 

29 

29.00 

o.i3 

29.00 

0.25 

29.00 

0.38 

29.00 

o.5i 

28.99 

0.63 

28.99 

0.76 

29 

3o 

3o.oo 

o.i3 

3o.oo 

0.26 

3o.oo 

0.39 

3o.oo 

0.52 

29.99 

0.65 

29.99 

0.79 

3o 

3i 

3 1. 00 

o.i4 

3 1. 00 

0.27 

3 1. 00 

o.4i 

3i.oo 

0.54 

30.99 

0.68 

30.99 

0.81 

3i 

32 

32.00 

o.i4 

32.00 

0.28 

32.00 

0.42 

32.00 

0.56 

31.99 

0.70 

31.99 

0.84 

32 

33 

33.00 

0.14 

33.00 

0.29 

33.00 

0.43 

32.99 

0.58 

32.99 

0.72 

32.99 

0.86 

33 

34 

34.00 

o.i5 

34.00 

o.3o 

34.00 

0.45 

33.99 

0.59 

33.99 

0.74 

33.99 

0.89 

34 

35 

35.00 

o.i5 

35.00 

o.3i 

35.00 

0.46 

34.99 

0.61 

34.99 

0.76 

34.99 

0.92 

35 

36 

36.00 

0.16 

36.00 

o.3i 

36.00 

0.47 

35.99 

0.63 

35.99 

0.79 

35.99 

0.94 

36 

3? 

37.00 

0.16 

37.00 

0.32 

37.00 

0.48 

36.99 

0.65 

36.99 

0.81 

36.99 

0.97 

37 

38 

38.00 

,0.17 

38.00 

0.33 

38.00 

o.5o 

37.99 

0.66 

37.99 

0.83 

37.99 

0.99 

38 

39 

39.00 

0.17 

39.00 

0.34 

39.00 

o.5i 

38.99 

0.68 

38.99 

0.85 

38.99 

1 .02 

39 

4o 

4o.oo 

0.17 

40.00 

0.35 

4o.oo 

0.52 

39.99 

0.70 

39.99 

0.87 

39.99 

i.o5 

4o 

4i 

41.00 

0.18 

4 1. 00 

0.36 

4 1. 00 

0.54 

40.99 

1  j 
0.72  '  40.99 

0.89 

40.99 

1.07 

4i 

42 

42.00 

0.18 

42.00 

0.37 

42.00 

0.55 

41.99 

0.73  '41.99 

0.92 

41.99 

l.IO 

42 

43 

43.00 

0.19 

43.00 

0.38 

43.00 

0.56 

42.99 

0.75  1'  42.99 

0.94 

42.99 

i.i3 

43 

44 

44.00 

0.19 

44.00 

0.38 

44.00 

0.58 

43.99 

0.77  '43.99 

0.96 

43.99 

i.i5 

44 

45 

45.00 

0.20 

45.00 

0.39 

45.00 

0.59 

44.99 

0.79    44.99 

0.98 

44.99 

1. 18 

45 

46 

46.00 

0.20 

46.00 

o.4o 

46.00 

0.60 

45.99 

0.80  '  45.99 

1. 00 

45.99 

1.20 

46 

47 

47.00 

0.21 

47.00 

o.4i 

47.00 

0.62 

46.99 

0.82  j  46.99 

i.o3 

46.99 

1.23 

47 

48 

48.00 

0.21 

48.00 

0.42 

48.00 

0.63 

47-99 

0.84    47.99 

i.o5 

47.98 

1.26 

48 

49 

49.00 

0.21 

49.00 

0.43 

49.00 

0.64 

48.99 

0.86    48.99 

1.07 

48.98 

1.28 

49 

5o 

5o.oo 

0.22 

5  0.00 

0.44 

XatT 

5o.oo 

0.65 

49-99 

0.87  '1 49.99 

1.09 

49.98 

i.3i 

5o 

1 

0 

Dep. 

Lat. 

Dep. 

Dep. 

Lat. 

Dep. 

lAt.        Dep. 

Lat. 

Dep. 

Lat. 

d 
u 

c 

1 

1  0 

89% 

Beg. 

891^  Deg. 

89M  Deg. 

89  Deg. 

88%  Deg. 

88K 

Deg. 

Traverse    Table. 


137 


o 

a 

o 

p 

K  Deg. 

Vz  Deg. 

%  Deg. 

IDcg. 

1%  Deg. 

ni  Deg. 

5 

D 

Lat. 

Dep. 

Lat. 
5 1. 00 

Dep.  i 

Lat. 

Dep. 

Lat. 

Dep. 

0.89 

Lut.     1 

Dep. 

Lat. 

Dep. 

5i 

5 1. 00 

0.22 

0.45 

5  1. 00 

0.67 

50.99 

50.99 

I.I  1 

50.98 

1.34 

5i 

52 

52.00 

0.23 

52.00 

0.45 

52.00 

0.68 

51.99 

0.91 

51.99 

I.i3 

51.98 

1.36 

52 

53 

53.00 

0.23 

53.00 

0.46 

53.00 

0.69 

52.99 

0.92 

52.99 

1. 16 

52.98 

1.39 

53 

54 

54.00 

0.24 

54.00 

0.47 

54.00 

0.71 

53.99 

0.94 

53.99 

1. 18 

53.98 

i.4i 

54 

55 

55.00 

0.24 

55.00 

0.48 

55.00 

0.72 

54.99 

0.96 

54.99 

1.20 

54.98 

1.44 

55 

56 

56. 00 

0.24 

56. 00 

0.49 

56.00 

0.73 

55.99 

0.98 

55.99 

1.22 

55.98 

1.47 

56 

5? 

57,00 

0.25 

57.00 

o.5o 

57.00 

0.75 

56.99 

0.99 

56.99 

1.24 

56.98 

1.49 

57 

58 

58.00 

0.25 

58.00 

o.5i 

57.99 

0.76 

57.99 

1 .01 

57.99 

1.27 

57.98 

1.52 

58 

59 

59.00 

0.26 

59.00 

o.5i 

58.99 

0.77 

58.99 

i.o3 

58.99 

1.29 

58.98 

1.54 

59 

6o 

60.00 

0.26 

60.00 

0.52 

59.99 

0.79 

59.99 

i.o5 

59.99 

i.3i 

59.98 

1.57 

60 

6i 

61.00 

0.27 

61.00 

0.53 

60.99 

0.80 

60.99 

1.06 

60.99 

1.33 

60.98 

1.60 

61 

62 

62.00 

0.27 

62.00 

0.54 

61.99 

0.81 

61.99 

1.08 

61.99 

1.35 

61.98 

1.62 

62 

63 

63. 00 

0.27 

63.00 

0.55 

62.99 

0.82 

62.99 

1. 10 

62.99 

1.37 

62.98 

1.65 

63 

64 

64.00 

0.28 

64.00 

0.56 

63.99 

0.84 

63.99 

1. 12 

63.98 

i.4o 

63.98 

1.68 

64 

65 

65.00 

0.28 

65.00 

0.57 

64.99 

0.85 

64.99 

i.i3 

64.98 

1.42 

64.98 

1 .70 

65 

66 

66.00 

0.29 

66.00 

0.58 

65.99 

0.86 

65.99 

i.i5 

65.98 

1.44 

65.98 

1.73 

66 

67 

67.00 

0.29 

67.00 

0.58 

66.99 

0.88 

66.99 

1. 17 

66.98 

1.46 

66.98 

1.75 

67 

68 

68.00 

o.3o 

68.00 

0.59 

67.99 

0.89 

67.99 

1. 19 

67.98 

1.48 

67.98 

1.78 

68 

69 

69.00 

o.3o 

69.00 

0.60 

68.99 

0.90 

68.99 

1 .20 

68.98 

i.5i 

68.98 

1. 81 

69 

70 

70.00 

o.3i 

70.00 

0.61 

69.99 

0.92 

69.99 

1.22 

69.98 

1.53 

69.98 

1.83 

70 

71 

71.00 

o.3i 

71.00 

0.62 

70.99 

0.93 

70.99 

1.24 

70.98 

1.55 

70.98 

1.86 

7' 

72 

72.00 

o.3i 

72.00 

0.63 

71.99 

0.94 

71.99 

1.26 

71.98 

1.57 

71.98 

1.88 

72 

73 

73.00 

0.32 

73.00 

0.64 

72.99 

0.96 

72.99 

1.27 

72.98 

1.59 

72.97 

1.91 

73 

74 

74.00 

0.32 

74.00 

0.65 

73.99 

0-97 

73.99 

1.29 

73.98 

1.61 

73.97 

1.94 

74 

75 

75.00 

0.33 

75.00 

0.65 

74.99 

0.98 

74.99 

i.3i 

74.98 

1.64 

74.97 

1.96 

75 

76 

76.00 

0.33 

76.00 

0.66 

75.99 

0.99 

75.99 

1.33 

75.98 

1.66 

75.97 

1.99 

76 

77 

77.00 

0.34 

77.00 

0.67 

76.99 

1. 01 

76.99 

1.34 

76.98 

1.68 

76.97 

2.02 

77 

78 

78.00 

0.34 

78.00 

0.68 

77-99 

1.02 

77-99 

1.36 

77.98 

1.70 

77-97 

2.o4 

78 

79 

79.00 

0.34 

79.00 

0.69 

78.99 

i.o3 

78.99 

1.38 

78.98 

1.72 

78.97 

2.07 

79 

80 

80.00 

0.35 

80.00 

0.70 

79-99 

i.o5 

79-99 

i.4o 

79.98 

1.75 

79-97 

2.09 

80 

81 

81.00 

0.35 

81.00 

0.71 

S0.99 

1 .06 

80.99 

1.41 

80.98 

1-77 

80.97 

2.12 

81 

82 

82.00 

0.36 

82.00 

0.72 

81.99 

1.07 

81.99 

1.43 

81.98 

1-79 

81.97 

2.l5 

82 

83 

83.00 

0.36 

8  3. 00 

0.72 

82.99 

1.09 

82.99 

1.45 

82.98 

1.81 

82.97 

2.17 

83 

84 

84.00 

0.37 

84.00 

0.73 

83.99 

1. 10 

83.99 

1.47 

83.98 

1.83 

83.97 

2.20 

84 

85 

85.O0 

0.37 

85.00 

0.74 

84.99 

I.I  I 

84.99 

1.48 

84.98 

1.85 

84-97 

2.23 

85 

86 

86.00 

0.38 

86.00 

0.75 

85.99 

i.i3 

85.99 

1 .5o 

85.98 

1.88 

85.97 

2.25 

86 

87 

87.00 

0.38 

87.00 

0.76 

86.99 

i.i4 

86.99 

1.52 

86.98 

1.90 

86.97 

2.28 

87 

88 

88.00 

0.38 

88.00 

0.77 

87.99 

i.i5 

87.99 

1.54 

87.98 

1.92 

87.97 

2.3o 

88 

89 

89.00 

0.39 

89.00 

0.78 

88.99 

1. 16 

88.99 

1.55 

88.98 

1.94 

88.97 

2.33 

89 

90 

90.00 

0.39 

90.00 

0.79 

89.99 

1. 18 

89.99 

1.57 

89.98 

1.96 

89.97 

2.36 

90 

91 

91.00 

o.4o 

91.00 

0.79 

90.99 

1. 19 

90.99 

1.59 

90.98 

1.99 

90.97 

2.38 

91 

92 

02.00 

o.4o 

92.00 

0.80 

91.99 

1.20 

91.99 

1.61 

>  91.98 

2.01 

91.97 

2.4  I 

92 

93 

qS.oo 

o.4i 

q3.oo 

0.81 

92.99 

1.22 

92.99 

1.63 

92.98 

2.o3 

92.97 

2.43 

93 

94 

qA.oo 

o.4i 

94.00 

0.82 

9^-97 

1.23 

93.99 

1.64 

•  93.98 

2.o5 

93.97 

2.46 

94 

95 

7 

95.00 

o.4i 

95.00 

0.83 

94.99 

1.24 

94-99 

1.66 

94.98 

2.07 

94-97 

2.49 

95 

96 

n6.oo 

0.42 

q6.oo 

0.84 

95.99 

1.26 

95.99 

1.68 

1  95.98 

2.09 

95.97 

2.5l 

96 

97 

97.00 

0.42 

97.00 

0.85 

96.99 

1.27 

96.99 

1.69 

96.98 

2.12 

96.97 

2.54 

r 

97 

98 
99 

08.00 

0.43 

qS.oo 

0.86 

97-99 

1.28 

97-99 

1.71 

97.98 

2.l4 

97-97 

2.57 

98 

y 

QQ.OO 

0.43 

i    99-0° 

0.86 

98.99 

i.3o 

98.98 

1.73 

!  98.98 

2.16 

98.97 

2.59 

99 

100 

100. oc 

0.44 

100.00  0.87 

99-99 

i.3i 

99.98 

1.75 

99.98 

2.18 

99-97 

2.62 

1 

1  Ijit. 

100 

8 

a 
2 

Q 

1 

a 

Dep. 

Lat. 

Dep.        Lat. 

Dep. 

Lat. 

Dep. 

1  Lat. 

j     Dep. 

Lat. 

Dep. 

89%  Deg. 

891^  Deg. 

89K  Deg. 

89  Deg. 

88%  Deg. 

881^  Deg. 

1 

'       1 

las 

Travekse    Table. 

, 

o 

» 

3 
n 
a 

I 

1%  Deg. 

2  Deg. 

2%  Deg. 

2H  Deg. 

2%  Deg. 

3  Deg. 

D 

D 

0 

1 

Uit.     1  Dep. 

I,at. 

Dep. 
o.o3 

Lat.     1  Dep. 

i.at. 

Dep. 

Lat. 

Dep. 
o.o5 

Lat. 

Dep. 

1. 00    o.o3 

1. 00 

1. 00 

o.o4 

1.00 

o.o4 

1. 00 

1. 00 

o.o5 

2 

2.00 

0.06 

2.00 

0.07 

2.00 

0.08 

2.00 

0.09 

2.00 

0.10 

2.00 

0.10 

2 

3 

3.00 

0.09 

3.00 

O.IO 

3.00 

0.12 

3.00 

o.i3 

3.00 

o.i4 

3.00 

0.16 

3 

4 

4.00 

0.12 

4.00 

o.i4 

4.00 

0.16 

4.00 

0.17 

4.00 

0.19 

3.99 

0.21 

4 

5 

5.00 

o.i5 

5.00 

0.17 

5.00 

0.20 

5.00 

0.22 

4.99 

0.24 

4.99 

0.26 

5 

6 

6.00 

0.18 

6.00 

0.21 

6.00 

0.24 

5.99 

0.26 

5.99 

0.29 

5.99 

o.3i 

6 

7 

7.00 

0.21 

7.00 

0.24 

6.99 

0.27 

6.99 

o.3i 

6.99 

0.34 

6.99 

0.37 

7 

8 

8.00 

0.25 

7-99 

0.28 

7-99 

o.3i 

7-99 

0.35 

7-99 

0.38 

7-99 

0.42 

8 

9 

9.00 

0.28 

8.99 

o.3i 

8.99 

0.35 

8.99 

0.39 

8.99 

0.43 

8.99 

0.47 

9 

lO 

10.00 

o.3i 

9-99 

0.35 

9-99 

0.39 

9-99 

0.44 

9-99 

0.48 

9-99 

0.52 

10 

II 

10.99 

0.34 

10.99 

0.38 

10.99 

0.43 

10.99 

0.48 

10.99 

0.53 

10.98 

0.58 

1 1 

12 

1 1 .99 

0.37 

11.99 

0.42 

11.99 

0.47 

11.99 

0.52 

11.99 

0.58 

11.98 

0.63 

12 

i3 

12.99 

o.4o 

12.99 

0.45 

12.99 

o.5i 

12.99 

0.57 

12.99 

0.62 

12.98 

0.68 

i3 

i4 

13.99 

0.43 

13.99 

0.49 

13.99 

0.55 

13.99 

0.61 

13.98 

0.67 

13.98 

0.73 

i4 

i5 

14.99 

0.46 

14.99 

0.52 

14.99 

0.59 

14.99 

0.65 

14.98 

0.72 

14.98 

0.79 

i5 

i6 

i5.99 

0.49 

15.99 

0.56 

15.99 

0.63 

15.99 

0.70 

15.98 

0.77 

15.98 

0.84 

16 

'7 

16.99 

0.52 

16.99 

0.59 

16.99 

0.67 

16.98 

0.74 

16.98 

0.82 

16.98 

0.89 

17 

i8 

17.99 

0.55 

17.99 

0.63 

17.99 

0.71 

17.98 

0.79 

17.98 

0.86 

17.98 

0.94 

18 

'9 

18.99 

0.58 

18.99 

0.66 

18.99 

0.75 

18.98 

0.83 

18.98 

0.91 

18.98 

0.99 

19 

20 

19.99 

0.61 

19.99 

0.70 

19.98 

0.79 

19.98 

0.87 

19.98 

0.96 

19.97 

i.o5 

20 

21 

20.99   °-^4 

20.99 

0.73 

20.98 

0.82 

20.98 

0.92 

20.98 

1.01 

20.97 

1.10 

21 

22 

21.99 

0.67 

21.99 

0.77 

21.98 

0.86 

21.98 

0.96 

21.97 

1.06 

21.97 

i.i5 

22 

23 

22.99 

0.70 

22.99 

0.80 

22.98 

0.90 

22.98 

1. 00 

22.97 

1.10 

22.97 

1 .20 

23 

24 

23.99 

0.73 

23.99 

0.84 

23.98 

0.94 

23.98 

i.o5 

23.97 

i.i5 

23.97 

1.26 

24 

25 

24.99 

0.76 

24.98 

0.87 

24.98 

0.98 

24.98 

1.09 

24.97 

1.20 

24.97 

i.3i 

25 

26 

25.99 

0.79 

25.98 

0.91 

25.98 

1 .02 

25.98 

i.i3 

25.97 

1.25 

25.96 

1.36 

26 

27 

26.99 

0.83 

26.98 

0.94 

26.98 

1.06 

26.97 

1. 18 

26.97 

1 .3o 

26.96 

i.4i 

27 

28 

27.99 

0.86 

27.98 

0.98 

27.98 

1. 10 

27.97 

1.22 

27.97 

1.34 

27.96 

1.47 

28 

29 

28.99 

0.89 

28.98 

1. 01 

28.98 

i.i4 

28.97 

1.26 

28.97 

1.39 

28.96 

1.52 

29 

3o 

29.99 

0.92 

29.98 

i.o5 

29.98 

1. 18 

29.97 

i.3i 

29.97 

1.44 

29.96 

1.57 

3o 

3i 

30.99 

0.95 

30.98 

1.08 

30.98 

1.22 

30.97 

1.35 

30.96 

1.49 

30.96 

1.62 

3i 

32 

31.99 

0.98 

31.98 

1. 12 

31.98 

1.26 

31.97 

i.4o 

31.96 

1.54 

31.96 

1.67 

32 

33 

32.98 

1. 01 

32.98 

i.i5 

32.97 

i.3o 

32.97 

1.44 

32.96 

1.58 

32.95 

1.73 

33 

34 

33.98 

i.o4 

33.98 

1. 19 

33.97 

1.33 

33.97 

1.48 

33.96 

1.63 

33.95 

1.78 

34 

35 

34.98 

1.07 

34.98 

1.22 

34.97 

1.37 

34.97 

1.53 

34.96 

1.68 

34.95 

1.83 

35 

36 

35.98 

l.IO 

35.98 

1.26 

35.97 

i.4i 

35.97 

1.57 

35.96 

..73 

35.95 

1.88 

36 

37 

36.98 

i.i3 

36.98 

1.29 

36.97 

1.45 

36.96 

1.61 

36.96 

1.78 

36.95 

1.94 

37 

38 

37.98 

1. 16 

37.98 

1.33 

37.97 

1.49 

37.96 

1.66 

37.96 

1.82 

37.95 

1.99 

38 

39 

38.98 

1. 19 

38.98 

1.36 

38.97 

1.53 

38.96 

1.70 

38.96 

1.87 

38.95 

2.o4 

39 

4o 

39.98 

1.22 

39.98 

i.4o 

39.97 

1.57 

39.96 

1.75 

39.95 

1.92 

39.95 

2.09 

4o 

4i 

40.98 

1.25 

40.98 

1.43 

40.97 

1.61 

40.96 

1.77 

40.95 

1.97 

40.94 

2.l5 

4i 

42 

41.98 

1.28 

41.97 

1.47 

41.97 

1.65 

41.96 

1.83 

41.95 

2.02 

41.94 

2.20 

42 

43 

42.98 

i.3i 

42.97 

i.5o 

42.97 

1.69 

42.96 

1.88 

42.95 

2.06 

42.94 

2,25 

43 

44 

43.98 

1.34 

43.97 

1.54 

43.97 

1.73 

43.96 

1.92 

43.95 

2.1 1 

43.94 

2.3o 

44 

45 

44.98 

1.37 

44.97 

..57 

44.97 

1.77 

44.96 

1.96 

44.95 

2.16 

44.94 

2.36 

45 

46 

45.98 

i.4o 

45.97 

1.61 

45.96 

1.81 

45.96 

2.01 

45.95 

2.21 

45.94 

2.4l 

46 

47 

46.98 

1.44 

46.97 

1.64 

46.96 

1.85 

46.96 

2.o5 

46.95 

2.25 

46.94 

2.46 

47 

48 

47.98 

1.47 

47.97 

1.68 

47.96 

1.88 

47.95 

2.09 

47.95 

2.3o 

47.93 

2.5l 

48 

49 

48.98 

i.5o 

48.97 

1. 71 

48.96 

1.92 

48.95 

2.l4 

48.94 

2.35 

48.93 

2.56 

49 

5o 

§ 

CO 

Q 

49.98 

1.53 
I,at. 

49.97 

1.74 

I,at. 

49.96 
Pep. 

1.96 

Lat. 

49.95 

Dep. 

2.18 

I.at. 

49.94 

2.4o 
Lat. 

49.93 

2.62 

5o 

nep. 

Dep. 

Dep. 

Dep. 

Lat. 

ej 
m 

88%  Deg. 

88  Deg. 

87%  Deg. 

871^  Deg. 

S1%  Deg. 

87  Deg. 

T  R  A  V 

ERSE     TaBL] 

E. 

139 

o 

to' 

D 
n 
o 

1%  Deg. 

2  Deg. 

2M  Deg. 

2K  Deg. 

2%  Deg. 

1 
3  Deg. 

5 

55' 

s 

a 

5i 

Lat. 

Dep. 
1.56 

Lat. 

Dep. 
1.78 

Lat. 

Dep 
2.00 

Lat. 

Dep. 
2.22 

Lat. 

Dep. 

2.45 

Lat. 

Dep. 
2.67 

5i 

50.98 

50.97 

50.96 

50.95 

50.94 

50.93 

52 

51.98 

1.59 

51.97 

I.81 

51.96 

2.o4 

51.95 

2.27 

51.94 

2.5o 

51.93 

2.72 

52 

53 

52.98 

1.62 

52.97 

1.85 

52.96 

2.08 

52.95 

2.3l 

52.94 

2.54 

52.93 

2.77 

53 

54 

53.97 

1.65 

53.97 

1.88 

53.96 

2.12 

53.95 

2.36 

53.94 

2.59 

53.93 

2.83 

54 

55 

54.97 

1.68 

54.97 

1.92 

54.96 

2.16 

54.95 

2.40 

54.94 

2.64 

54.92 

2.88 

55 

56 

55.97 

1. 71 

55.97 

1.95 

55.96 

2.20 

55.95 

2.44 

55.94 

2.69 

55.92 

2.93 

56 

5? 

56.97 

1.74 

56.97 

1.99 

56.96 

2.24 

56.95 

2.49 

56.93 

2.73 

56.92 

2.98 

57 

58 

57-97 

1.77 

57.96 

2.02 

57.96 

2.28 

57.94 

2.53 

57.93 

2.78 

57.92 

3.04 

58 

59 

58.97 

1.80 

58.96 

2.06 

58.95 

2.32 

58.94 

2.57 

58.93 

2.83 

58.92 

3.09 

5y 

6o 

D9.97 

1.83 

59.96 

2.09 

59.95 

2.36 

59.94 

2.62 

59.93 

2.88 

59.92 

3.i4 

60 

6i 

60.97 

1.86 

60.96 

2.l3 

60.95 

2.39 

60.94 

2.66 

60.93 

2.93 

60.92 

3.19 

61 

62 

61.97 

1.89 

61.96 

2.16 

61.95 

2.43 

61.94 

2.70 

61.93 

2.97 

61.92 

3.24 

62 

63 

62.97 

1.92 

62.96 

2.20 

62.95 

2.47 

62.94 

2.75 

62.93 

3.02 

62.91 

3.3o 

63 

64 

63.97 

1.95 

63.96 

2.23 

63.95 

2.5l 

63.94 

2.79 

63.93 

3.07 

63.91 

3.35 

64 

65 

64.97 

1.99 

64.96 

2.27 

64.95 

2.55 

64.94 

2.84 

64.93 

3.12 

64.91 

3.4o 

65 

66 

65.97 

2.02 

65.96 

2.3o 

65.95 

2.59 

65.94 

2.88 

65.92 

3.17 

65.91 

3.45 

66 

67 

66.97 

2.o5 

66.96 

2.34 

66.95 

2.63 

66.94 

2.92 

66.92 

3.21 

66.91 

3.5i 

67 

68 

67.97 

2.08 

67.96 

2.37 

67.95 

2.67 

67.94 

2.97 

67.92 

3.26 

67.91 

3.56 

68 

69 

68.97 

2. II 

68.96 

2.4l 

68.95 

2.71 

68.93 

3.01 

68.92 

3.3i 

68.91 

3.61 

69 

70 

69.97 

2.14 

69.96 

2.44 

69.95 

2.75 

69.93 

3.o5 

69.92 

3.36 

69.90 

3.66 

70 

71 

70.97 

2.17: 

70.96 

2.48 

70.95 

2.79 

70.93 

3.10 

70.92 

3.4i 

70.90 

3.72 

71 

72 

71.97 

2.20 

71.96 

2.5l 

71.94 

2.83 

71.93 

3.i4 

71.92 

3.45 

71.90 

3.77 

72 

73 

72.97 

2.23 

72.96 

2.55 

72.94 

2.87 

72.93 

3.18 

72.92 

3.5o 

72.90 

3.82 

73 

74 

73.97 

2.26 

73.95 

2.58 

73.94 

2.91 

73.93 

3.23 

73.91 

3.55 

73.90 

3.87 

74 

75 

74.97 

2.29 

74.95 

2.62 

74.94 

2.94 

74.93 

3.27 

74.91 

3.60 

74.90 

3.93 

75 

76 

75.96 

2.32 

75.95 

2.65 

75.94 

2.98 

75.93 

3.3i 

75.91 

3.65 

75.90 

3.98 

76 

77 

76.96 

2.35 

76.95 

2.69 

76.94 

3.02 

76.93 

3.36 

76.91 

3.70 

76.89 

4.o3 

77 

78 

77.96 

2.38 

77.95 

2.72 

77-94 

3.06 

77.93 

3.4o 

77.91 

3.74 

77.89 

4.08 

78 

,   79 

78.96 

2.4 1 

78.95 

2.76 

78.94 

3.10 

78.92 

3.45 

78.91 

3.79 

78.89 

4.i3 

79 

80 

79.96 

2.44 

79.95 

2.79 

79-94 

3.i4 

79.92 

3.49 

79.91 

3.84 

79.89 

4.19 

80 

81 

80.96 

2.4? 

80.95 

2.83 

80.94 

3.18 

80.92 

3.53 

80.91 

3.89 

80.89 

4.24 

81 

82 

81.96 

2.5o 

81.95 

2.86 

81.94 

3.22 

81.92 

3.58 

81.91 

3.93 

81.89 

4.29 

82 

83 

82.96 

2.53 

82.95 

2.90 

82.94 

3.26 

82.92 

3.62 

82.90 

3.98 

82.89 

4.34 

83 

84 

83.96 

2.57 

83.95 

2.93 

83.94 

3.3o 

83.92 

3.66 

83.90 

4.o3 

83.88 

4.4o 

84 

85 

84.96 

2.60 

84.95 

2.97 

84.93 

3.34 

84.92 

3.71 

84.90 

4.08 

84.88 

4.45 

85 

86 

85.96 

2.63 

85.95 

3.00 

85.93 

3.38 

85.92 

3.75 

85.90 

4.i3 

85.88 

4.5o 

86 

87 

86.96 

2.66 

86.95 

3.o4 

86.93 

3.42 

86.92 

3.79 

86.90 

4.17 

86.88 

4.55 

87 

88 

87.96 

2.69 

87.95 

3.07 

87.93 

3.45 

87.92 

3.84 

87.90 

4.22 

87.88 

46i 

88 

89 

88.96 

2.72 

88.95 

3. II 

88.93 

3.49 

88.92 

3.88 

88.90 

4.27 

88.88 

4.66 

89 

90 

89.96 

2.75 

1 

89.95 

3.i4 

89.93 

3.53 

89.91 

3.93 

89.90 

4.32 

89.88 

4.71 

90 

91 

90.96 

2.78 

90.95 

3.18 

90.93 

3.57 

90.91 

3-97 

90.90 

4.37 

90.88 

4.76 

9' 

92 

91.96 

2.81 

91.94 

3.21 

91.93 

3.61 

91.91 

4.01 

91.89 

4.4i 

91.87 

4.81 

92 

93 

92.96 

2.84 

92.94 

3.25 

92.93 

3.65 

92.91 

4.06 

92.89 

4-46 

92.87 

4.87 

93 

94 

93.96 

2.87 

93.94 

3.28 

93.93 

3.69 

93.91 

4.10 

93.89 

4.5i 

93.87 

4.92 

94 

95 

94.96 

2.90 

94.94 

3.32 

94.93 

3.73 

94.91 

4.i4 

94.89 

4.56 

94.87 

4.97 

95 

96 

95.96 

2.94 

95.94 

3.35 

95.93 

3.77 

95.91 

4.19 

95.89 

4.61 

95.87 

5.02 

96 

97 

96.95 

2.96 

96.94 

3.39 

96.93 

3.81 

96.91 

4.23 

96.89 

4.65 

96.87 

5.08 

97 

98 

97.95 

2.99 

97.94 

3.42 

97.92 

3.85 

97.91 

4.27 

97.89 

4.70 

97-87 

5.i3 

98 

99 

98.95 

3.02 

98.94 

3.46 

98.92 

3.89 

98.91 

4.32 

98.89 

4.75 

98.86 

5.18 

99 

100 

§ 

a 
a 

w 

5 

99.95 
Dep. 

3.o5 
Lat. 

99.94 

3.49 
Lat. 

99.92 

3.93 
Lat. 

99.90 

4.36 
Lat. 

!  99.88 

!    Dep. 

4.80 
ijit. 

99.86 

5.23 
Lat 

100 

ci 
0 

a 
3 

00 

c 

Dep. 

Dep. 

Dep. 

Dep. 

88% 

Deg. 

88  Deg. 

87%  Deg. 

S7H  1 

Deg. 

8734  Deg. 

87  Deg. 

uo 

Trav 

ERSE    Table. 

■  S 

n 

a 

I 

3)^  Deg. 

3%  Deg. 

3%  Deg. 

4  Deg. 

4%  Deg. 

4M  Deg. 

c 

■Jj' 

a 
0 

0) 

I,at. 
1. 00 

Dep. 
0.06 

l.at. 

Dep. 

I-at. 
1. 00 

Dep. 

0.06 

Lat.     1 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1. 00 

0.06 

1. 00 

0.07 

1.00 

0.07 

1. 00 

0.08 

1 

2 

2.00 

O.II 

2.00 

0.12 

2.00 

o.i3 

2.00 

o.i4 

1.99 

o.i5 

1.99 

0.16 

2 

3 

3.00 

0.17 

2.99 

0.18 

2.99 

0.20 

2.99 

0.21 

2.99 

0.22 

2.99 

0.24 

3 

4 

3.99 
4.99 

0.23 

3.99 

0.24 

3.99 

0.26 

3.99 

0.28 

3.99 

'o.3o 

3.99 

o.3i 

4 

5 

0.28 

4.99 

o.3i 

4.99 

0.33 

4.99 

0.35 

4.99 

0.3/ 

4.98 

0.39 

5 

6 

5.00 

0.34 

5.99 

0.37 

5.99 

0.39 

5.99 

0.42 

5.98 

0.44 

5.98 

0.47 

6 

7 

6.99 

o.4o 

6.99 

0.43 

6.99 

0.46 

6.98 

0.49 

6.98 

0.52 

6.98 

0.55 

7 

8 

7-99 

0.45 

7.99 

0.49 

7.98 

0.52 

7.98 

0.56 

7.98 

0.59 

7.98 

0.63 

8 

9 

/      /  / 

8.99 

o.5i 

8.98 

0.55 

8.98 

0.59 

8.98 

0.63 

8.98 

0.67 

8.97 

0.71 

9 

7 

lO 

9.98 

0.57 

9.98 

0.61 

9.98 

0.65 

9.98 

0.70 

9.97 

0.74 

9.97 

0.78 

10 

II 

10.98 

0.62 

10.98 

0.67 

10.98 

0.72 

10.97 

0.77 

10.97 

0.82 

10.97 

0.86 

1 1 

12 

1 1 .98 

0.68 

11.98 

0.73 

11.97 

0.78 

11.97 

0.84 

11.97 

0.89 

11.96 

0.94 

12 

i3 

12.98 

0.73 

12.98 

0.79 

12.97 

0.85 

12.97 

0.91 

12.96 

0.96 

12.96 

1.02 

i3 

i4 

13.98 

0.79 

13.97 

0.85 

13.97 

0.92 

13.97 

0.98 

13.96 

i.o4 

13.96 

1. 10 

i4 

i5 

14.9^ 

0.85 

14.97 

0.92 

14.97 

0.98 

14.96 

i.o5 

14.96 

I.I  I 

14.95 

1. 18 

i5 

i6 

15.97 

0.91 

15.97 

0.98 

15.97 

i.o5 

15.96 

1. 12 

15.96 

1. 19 

15.95 

1.26 

16 

n 

16.97 

0.96 

16.97 

i.o4 

16.96 

1. 1 1 

16.96 

1. 19 

16.95 

1.26 

16.95 

1.33 

17 

i8 

17.97 

1.02 

17.97 

1. 10 

17.96 

1.18 

17.96 

1.26 

17.95 

1.33 

17.94 

i.4i 

18 

'9 

18.97 

1.08 

18.96 

1.16 

18.96 

1.24 

18.95 

1.33 

18.95 

i.4o 

18.94 

1.49 

19 

20 

19.97 

i.i3 

19.96 

1.22 

19.96 

i.3i 

19.95 

i.4o 

19.95 

1.48 

19.94 

1.57 

20 

21 

20.97 

1. 19 

20.96 

1.28 

20.96 

1.37 

20.95 

1.46 

20.94 

1.56 

20.94 

1.65 

21 

22 

21.96 

1.25 

21.96 

1.34 

21.95 

1.44 

21.95 

1.53 

21.94 

1.63 

21.93 

1.73 

22 

23 

22.96 

i.3o 

22.96 

i.4o 

22.95 

i.5o 

22.94 

1.60 

22.94 

1.70 

22.93 

1.80 

23 

24 

23.96 

1.36 

23.96 

1.47 

23.95 

1.57 

23.94 

1.67 

23.93 

1.78 

23.93 

1.88 

24 

25 

24.96 

1.42 

24.95 

1.53 

24.95 

1.64 

24.94 

1.74 

24.93 

1.85 

24.92 

1.96 

25 

26 

25.96 

1.47 

25. q5 

1.59 

25.94 

1.70 

25.94 

1.81 

25.93 

1.93 

25.92 

2.o4 

26 

27 

26.96 

1.53 

26.95 

1.65 

26.94 

1.77 

26.93 

1.88 

26.93 

2.00 

26.92 

2.12 

27 

28 

27.95 

1.59 

27.95 

1.71 

27.94 

1.83 

27.93 

1.95 

27.92 

2.08 

27.91 

2.20 

28 

29 

28.95 

1.64 

28.95 

1.77 

28.94 

1.90 

28.93 

2.02 

28.92 

2.l5 

28.91 

2.28 

29 

3o 

29.95 

1.70 

29.94 

1.83 

29.94 

1.96 

29.93 

2.09 

29.92 

2.22 

29.91 

2.35 

3o 

3i 

30.95 

1.76 

30.94 

1.89 

30.93 

2.o3 

30.92 

2.16 

30.91 

2.3o 

30.90 

2.43 

3i 

32 

31.95 

1.81 

31.94 

1.95 

31.93 

2.09 

31.92 

2.23 

31.91 

2.37 

31.90 

2.5l 

32 

33 

32.95 

1.87 

32.94 

2.01 

32.93 

2.16 

32.92 

2.3o 

32.91 

2.45 

32.90 

2.59 

33 

34 

33.95 

1.93 

33.94 

2.08 

33.93 

2.22 

33.92 

2.37 

33.91 

2.52 

33.90 

2.67 

34 

35 

34.94 

1.98 

34.93 

2,l4 

34.92 

2.29 

34.91 

2.44 

34.90 

2.59 

34.89 

2.75 

35 

36 

35.94 

2.04 

35.93 

2.20 

35.92 

2.35 

35.91 

2.5l 

35.90 

2.67 

35.89 

2.82 

36 

37 

36.94 

2.10 

36.9.3 

2.26 

36.92 

2.42 

36.91 

2.58 

36.90 

2.74 

36.89 

2.90 

37 

38 

37.94 

2.l5 

37.93 

2.32 

37.92 

2.49 

37.91 

2.65 

37.90 

2.82 

37.88 

2.98 

38 

39 

38.94 

2.21 

38.93 

2.38 

38.92 

2.55 

38.90 

2.72 

38.89 

2.89 

38.88 

3.06 

39 

40 

39.94 

2.27 

39.93 

2.44 

39.91 

2.62 

39.90 

2.79 

39.89 

2.96 

39.88 

3.i4 

4o 

4i 

40.93 

2.32 

40.92 

2.5o 

40.91 

2.68 

40.90 

2.86 

40.89 

3.04 

40.87 

3.22 

4i 

42 

41.93 

2.38 

41.92 

2.56 

41.91 

2.75 

41.90 

2.93 

41.88 

3. II 

41.87 

3.3o 

42 

43 

42.93 

2.44 

42.92 

2.63 

42.91 

2.81 

42.90 

3.00 

42.88 

3.19 

42.87 

3.37 

43 

44 

43.93 

2.49 

43.92 

2.69 

43.91 

2.88 

43.89 

3.07 

43.88 

3.26 

43.86 

3.45 

44 

45 

44.93 

2.55 

44.92 

2.75 

44.90 

2.94 

44.89 

3.i4 

44.88 

3.33 

44.86 

3.53 

45 

46 

45.93 

2.61 

4591 

2.81 

45.90 

3.01 

45.89 

3.21 

45.87 

3.4i 

45.86 

3.61 

46 

47 

46.92 

2.66 

46.91 

2.87 

46.90 

3.07 

46.89 

3.28 

46.87 

3.48 

46.86 

3.69 

47 

48 

47.92 

2.72 

47.91 

2.93 

47.90 

3.14 

47.88 

3.35 

47.87 

3.56 

47.85 

3.77 

48 

49 

48.92 

2.78 

48.91 

2.99 

48.90 

3.20 

48.88 

3.42 

48.87 

3.63 

48.85 

3.84 

49 

5o 
•2 

m 

49.92 

2.83 
Lat. 

49.91 

3.o5 

49.89 
Dep. 

3.27 
1  Lat. 

49.88 

3.49 
Lat. 

49.86 

Dep. 

3.71 
Lat. 

49.85 

3.92 
Lat. 

5o 

a 
a 
m 

s 

Dep. 

Dep. 

Lat. 

Dep. 

Dep. 

86%  Deg. 

861^  Deg. 

86%  Deg. 

86  Deg. 

85%  Deg. 

851^  Deg. 

T 

EAVER8E    Table. 

141 

2 
1 

5i 

^Ya  Deg. 

3)^  Deg. 

3%  Deg. 

4  Deg. 

4K  Deg. 

Ay^  Deg. 

0 

Lat. 

Dep. 

2.89 

Lat. 

Dop. 

Lat. 

Dep. 

Lat. 
5o.88 

Dep. 
3.56 

Lat. 

Dep. 

3.78 

Lat. 

Dep. 

50.92 

50.90 

3. II 

50.89 

3.34 

5o.86 

5o.84 

4-00 

5i 

52 

51.92 

2.95 

51.90 

3.17 

51.89 

3.4o 

51.87 

3.63 

5i.86 

3.85 

5 1. 84 

4.08 

52 

53 

52.91 

3.00 

52.90 

3.24 

52.89 

3.47 

52.87 

3.70 

52.85 

3.93 

52.84 

4.16 

53 

54 

53.91 

3.06 

53.90 

3.3o 

53.88 

3.53 

53.87 

3.77 

53.85 

4.00 

53.83 

4.24 

54 

55 

54.91 

3.12 

54.90 

3.36 

54.88    3.60 

54.87 

3.84 

54.85 

4.08 

54.83 

4.32 

55 

56 

55.91 

3.17 

55.90 

3.42 

55.88 

3.66 

55.86 

3.91 

55.85 

4.i5 

55.83 

4.39 

56 

5? 

56.91 

3.23 

56.89 

3.48 

56.88 

3.73 

56.86 

3.98 

56.84 

4.22 

56.82 

4.47 

57 

58 

57.91 

3.29 

57.89 

3.54 

57.88 

3.79 

57.86 

4.o5 

57.84 

4.3o 

57.82 

4.55 

58 

59 

58.91 

3.34 

58.89 

3.60 

58.87 

3.86 

58.86 

4.12 

58.84 

4.37 

58.82 

4.63 

59 

60 

59.90 

3.4o 

59.89 

3.66 

59.87 

3.92 

59.85 

4.19 

59.84 

4.45 

59.82 

4.71 

60 

61 

60.90 

3.46 

60.89 

3.72 

60.87 

3.99 

6o.85 

4.26 

60.83 

4.52 

60.81 

4.79 

61 

62 

61.90 

3.5i 

61.88 

3.79 

61.87 

4.o5 

61.85 

4.32 

61.83 

4.59 

61.81 

4.86 

62 

63 

62.90 

3.57 

62.88  i 

3.85 

62.87 

4.12 

62.85 

4.39 

62.83 

4.67 

62.81 

494 

63 

64 

63.90 

3.63 

63.88 

3.91 

63.86 

4.19 

63.84 

4.46 

63.82 

4.74 

63.8o 

5.02 

64 

65 

64.90 

3.69 

64.88 

3.97 

64.86 

4.25 

64.84 

4.53 

64.82 

4.82 

64.80 

5.10 

65 

66 

65.89 

3.74 

65.88 

4.o3 

65.86 

4.32 

65.84 

4.60 

65.82 

4.89 

65.8o 

5.18 

66 

67 

66.89 

3.80 

66.88 

4.09 

66.86 

4.38 

66.84 

4.67 

66.82 

4.97 

66.79 

5.26 

67 

68 

67.89 

3.86 

67.87 

4.i5 

67.85 

4.45 

67.83 

4.74 

67.81 

5.o4 

67.79 

5.34 

68 

69 

68.89 

3.9. 

68.87 

4.21 

68.85 

4.5i 

68.83 

4.81 

68.81 

5. II 

68.79 

5.4i 

69 

70 

69.89 

3.97 

69.87 

4.27 

69.85 

4.58 

69.83 

4.88 

69.81 

5.19 

69.78 

5.49 

70 

71 

70.89 

4.o3 

70.87 

4.33 

70.85 

4.64 

70.83 

4.95 

70.80 

5.26 

70.78 

5.57 

71 

72 

71.88 

4.08 

71.87 

4.4o 

71.85 

4.71 

71.82 

5.02 

71.80 

5.34 

71.78 

5.65 

72 

73 

72.88 

4.i4 

72.86 

4.46 

72.84 

4.77 

72.82 

5.09 

72.80 

5.4i 

72.77 

5.73 

73 

74 

73.88 

4.20 

73.86 

4.52 

73.84 

4.84 

73.82 

5.16 

73.80 

5.48 

73.77 

5.81 

74 

75 

74.88 

4.25 

74.86 

4.58 

74.84 

4.91 

74.82 

5.23 

74.79 

5.56 

74.77 

5.88 

75 

76 

75.88 

4.3i 

75.86 

4.64 

75.84 

4.97 

75.81 

5.3o 

75.79 

5.63 

75.77 

5.96 

76 

77 

76.88 

4.37 

76.86 

4.70 

76.84 

5.o4 

76.81 

5.37 

76.79 

5.71 

75.76 

6.04 

77 

78 

77.87 

4.42 

77.85 

4.76 

77.83 

5.10 

77.81 

5.44 

77-79 

5.78 

77.76 

6.12 

78 

79 

78.87 

4.48 

7885 

4.82 

78.83 

5.17 

78.81 

5.5i 

78.78 

5.85 

78.76 

6.20 

79 

80 

79.87 

4.54 

79.85 

4.88 

79.83 

5.23 

79.81 

5.58 

79.78 

5.93 

79.75 

6.28 

80 

81 

80.87 

4.59 

8o.85 

4.94 

8o.83 

5.3o 

80.80 

5.65 

80.78 

6.00 

80.75 

6.36 

81 

82 

81.87 

4  65 

8i.85 

5.01 

81.82 

5.36 

81.80 

5.72 

81.78 

6.08 

81.75 

6.43 

82 

83 

82.87 

4.71 

82.85 

5.07 

82.82 

5.43 

82.80 

5.79 

82.77 

6.i5 

82.74 

6.5i 

83 

84 

83.86 

4.76 

83.84 

5.i3 

83.82 

5.49 

83.8o 

5.86 

83.77 

6.23 

83.74 

6.59 

84 

85 

84.86 

4.82 

84.84 

5.19 

84.82 

5.56 

84.79 

5.93 

84-77 

6.3o 

84.74 

6.67 

85 

86 

85.86 

4.88 

85.84 

5.25 

85.82 

5.62 

85.79 

6.00 

85.76 

6.37 

85.73 

6.75 

86 

87 

86.86 

4.93 

86.84 

5.3i 

86.81 

5.69 

86.79 

6.07 

86.76 

6.45 

86.73 

6.83 

87 

88 

87.86 

4.99 

87.84 

5.37 

87.81 

5.76 

87.79 

6.i4 

87.76 

6.52 

87.73 

6.90 

88 

89 

88.86 

5.o5 

88.83 

5.43 

88.81 

5.82 

88.78 

6.21 

88.76 

6.60 

88.73 

6.98 

89 

90 

89.86 

5.10 

89.83 

5.49 

89.81 

5.89 

89.78 

6.28 

89.75 

6.67 

89.72 

7.06 

90 

9' 

90.85 

5.16 

90.83 

5.56 

90.81 

5.95 

90.78 

6.35 

90.75 

6.74 

90.72 

7.14 

91 

92 

91.85 

5.22 

91.83 

5.62 

91.80 

6.02 

91.78 

6.42 

91.75 

6.82 

91.72 

7.22 

92 

0 

93 

92.85 

5.27 

92.83 

5.68 

92.80 

6.08 

92.77 

6.49 

92.74 

6.89 

92.71 

7.30 

93 

94 

93.85 

5.33 

93.82 

5.74 

93.80 

6.i5 

93.77 

6.56 

93.74 

6.97 

93.71 

7.38 

94 

r 

95 

94.85 

5.39 

94.82 

5.80 

94.80 

6.21 

94-77 

6.63 

94.74 

7.04 

94.71 

7.45 

95 

96 

95.85 

5.44 

95.82 

5.86 

95.79 

6.28 

95.77 

6.70 

95.74 

7. 11 

95.70 

7.53 

96 

7 

97 

96.84 

5.5o 

96.82 

5.92 

96.79 

6.34 

96.76 

6.77 

96.73 

7.19 

96.70 

7.61 
7.69 

97 
98 

98 

97-84 

5.56 

97.82 

5.98 

97-79 

6.4i 

97.76 

6.84 

97-73 

7.26 

97.70 

7 

99 

98.84 

5.61 

98.82 

6.o4 

98.79 

6.47 

98.76 

6.91 

98.73 

7.34 

98.69 

7-77 
7.85 

Lat 

99 

100 

d 

a 

i5 

99.84 

5.67 

Lat. 

99.81 

6.10 

99-79 

6.54 
Lat. 

99.76 

6.98 

99.73 

7.41 

99.69 

100 

§ 

a 
0 

Dep. 

Dep. 

Lat. 

Dep. 

Dep.     1   Lat. 

1     Dep. 

Lat. 

Dep. 

86%  Deg. 

86K  Deg. 

86K  Deg. 

86  Deg. 

85%  Deg. 

85K  Deg. 

142 

Tkavebse    T. 

*.BLE. 

2 
5* 

s 

a 

s 

I 

4%  Deg. 

5  Deg. 

5%  Deg. 

1 

5%  Deg. 

5%  Deg. 

6  Deg. 

g 
s 

a 

a 

CD 

I 

IM. 

Uep. 

IM. 

Dep. 

Lat. 

Dep. 
0.09 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 
O.IO 

1. 00 

0.08 

1. 00 

0.09 

1 .00 

1. 00 

O.IO 

0.99 

0.10 

0.99 

2 

1.99 

0.17 

1.99 

0.17 

1.99 

0.18 

1.99 

0.19 

1.99 

0.20 

1-99 

0.21         2I 

3 

2.99 
3.98 

4.98 

0.25 

2.99 

0.26 

2.99 

0.27 

2.99 

0.29 

2.98 

o.3o 

2.98 

o.3i 

3 

4 

0.33 

3.98 

0.35 

3.98 

0.37 

3.98 

0.38 

3.98 

o.4o 

3.98 

o.4i 

4 

5 

o.4i 

4.98 

0.44 

4.98 

0.46 

4.98 

0.48 

4.97 

o.5o 

4.97 

0.52       5 

6 

5.98 

o.5o 

5.98 

0.52 

5.97 

0.55 

5.97 

0.58 

5.97 

0.60 

5.97 

0.63 

6 

7 

6.97 
7-97 

0.58 

6.97 

0.61 

6.97 

0.64 

6.97 

0.67 

6.96 

0.70 

6.96 

0.73 

7 

8 

0.66 

7-97 

0.70 

7-97 

0.73 

7.96 

0.76 

7.96 

0.80 

7.96 

0.84 

8 

9 

8.97 

0.75 

8.97 

0.78 

8.96 

0.82 

8.96 

0.86 

8.95 

0.90 

8.95 

0.94 

9 

7 

lO 

9-97 

0.83 

9.96 

0.87 

9.96 

0.92 

9.95 

0.96 

9.95 

1.00 

9.95 

i.o5 

lO 

II 

10.96 

0.91 

10.96 

0.96 

10.95 

1. 01 

lo.gS 

i.o5 

10.94 

1. 10 

10.94 

i.i5 

1 1 

12 

11.96 

0.99 

11.95 

i.o5 

11.95 

1. 10 

11.94 

i.i5 

11.94 

1.20 

11.93 

1.25 

12 

i3 

12.96 

1.08 

12.95 

i.i3 

12.95 

1. 19 

12.94 

1.25 

12.93 

i.3o 

12.93 

1.36 

i3 

i4 

13.95 

1. 16 

13.95 

1.22 

13.94 

1.28 

13.94 

1.34 

13.93 

i.4o 

13.92 

1.46 

i4 

i5 

14.95 

1.24 

14.94 

i.3i 

14.94 

1.37 

14.93 

1.44 

14.92 

i.5o 

14.92 

1.57 

i5 

i6 

15.95 

1.32 

15.94 

1.39 

15.93 

1.46 

i5.g3 

1.53 

15.92 

1.60 

15.91 

1.67 

16 

I? 

16.94 

i.4i 

16.94 

1.48 

16.93 

1.56 

16.92 

1.63 

16.91 

1.70 

16.91 

1.78 

17 

i8 

17.94 

1.49 

17.93 

1.57 

17.92 

1.65 

17.92 

1.73 

17.91 

1.80 

17.90 

1.88 

18 

19 

18.93 

1.57 

18.93 

1.66 

18.92 

1.74 

18.91 

1.82 

18.90 

1.90 

18.90 

1-99 

19 

20 

19.93 

1.66 

19.92 

1.74 

19.92 

1.83 

19.91 

1.92 

19.90 

2.00 

19.89 

2.09 

20 

21 

20.93 

1.74 

20.92 

1.83 

20.91 

1. 92 

20.90 

2.01 

20.89 

2.10 

20.88 

2.20 

21 

22 

21.92 

1.82 

21.92 

1.92 

21.91 

2.01 

21.90 

2.1 1 

21.89 

2.20 

21.88 

2.3o 

22 

23 

22.92 

1.90 

22.91 

2.00 

22.90 

2.10 

22.89 

2.20 

22.88 

2.30 

22.87 

2.4o 

23 

24 

23.92 

1.99 

23.91 

2.09 

23.90 

2.20 

23.89 

2.3o 

23.88 

2.4o 

23.87 

2.5l 

24 

25 

24.91 

2.07 

24.90 

2.18 

24.90 

2.29 

24.88 

2.4o 

24.87 

2.5o 

24.86 

2.61 

25 

26 

25.91 

2.l5 

25.90 

2.27 

25.89 

2.38 

25.88 

2.49 

25.87 

2.60 

25.86 

2.72 

26 

27 

26.91 

2.24 

26.90 

2.35 

26.89 

2.47 

26.88 

2.59 

26.86 

2.71 

26.85 

2.82 

27 

28 

27.90 

2.32 

27.89 

2.44 

27.88 

2.56 

27.87 

2.68 

27.86 

2.81 

27.85 

2.93 

28 

29 

28.90 

2.4o 

28.89 

2.53 

28.88 

2.65 

28.87 

2.78 

28.85 

2.91 

28.84 

3.o3 

29 

So 

29.90 

2.48 

29.89 

2.61 

29.87 

2.75 

29.86 

2.88 

29.85 

3.01 

29.84 

3.i4 

3o 

3i 

30.89 

2.67 

30.88 

2.70 

30.87 

2.84 

3o.86 

2.97 

3o.84 

3.11 

30.83 

3.24 

3i 

32 

31.89 

2.65 

31.88 

2.79 

31.87 

2.93 

31.85 

3.07 

31.84 

3.21 

31.82 

3.34 

32 

33 

32.89 

2.73 

32.87 

2.88 

32.86 

3.02 

32.85 

3.16 

32.83 

3.3i 

32.82 

3.45'   33  1 

34 

33.8S 

2.82 

33.87 

2.96 

33.86 

■3.11 

33.84 

3.26 

33.83 

3.4i 

33.81 

3.55 

34 

35 

34.8S 

2.90 

34.87 

3.o5 

34.85 

3.20 

34.84 

3.35 

34.82 

3.5i 

34.81 

3.66 

35 

36 

35.88 

2.98 

35.86 

3.i4 

35.85 

3.29 ' 

35.83 

3.45 

35.82 

3.61 

35.80 

3.76 

36 

37 

3687 

3.06 

36.86 

3.22 

36.84 

3.39  1  36.83 

3.55 

!36.8i 

3.71 

36. 80 

3.87 

37 

38 

37.87 

3.i5 

37.86 

3.3i 

37.84 

3.48 

37.83 

3.64  137.81 

3.81 

37.79 

3-97 

38 

39 

38.87 

3.23 

38.85 

3.4o 

38.84 

3.57 

38.82 

3.74 

38.8o 

3.91 

38.79 

4.08 

39 

4o 

39.86 

3.3i 

39.85 

3.49 

39.83 

3.66 

39.82 

3.83 

39.80 

4.01 

39.78 

4.18 

4o 

4i 

40.86 

3.4o 

4o.84 

3.57 

4o.83 

3.75 

40.81 

3.93 

40.79 

4. II 

40.78 

4.29 

4i 

42 

41.86 

3.48 

41.84 

3.66 

41.82 

3.84 

41.81 

4.o3 

41.79 

4.21 

41.77 

4.39 

42 

43 

42.85 

3.56 

42.84 

3.75 

42.82 

3.93 

42.80 

4.12 

42.78 

4.3i 

42.76 

4.49 

43 

44 

43.85 

3.64 

43.83 

3.83 

43.82 

4.o3 

43.80 

4.22:143.78 

4.4i 

43.76 

4.60 

44 

45 

44.85 

3.73 

44.83 

3.92 

44.81 

4.12 

1  44.79 

4.3i 

44.77 

4.5i 

44.75 

4.70 

45 

46 

45.84 

3.81 

45.82 

4.01 

45.81 

4.21 

45.79 

4.4i 

45.77 

4.61 

45.75 

4.81 

46 

47 

46.84 

3.89 

46.82 

4.10 

46.80 

4.3o 

46.78 

4.5o 

46.76 

4.71 

46.74 

4.91 

47 

48 

47.84 

3.97 

47.82 

4.18 

47.80 

4.39 

47.78 

4.60  :  47.76 

4.81 

47.74 

5.02 

48 

49 

48.83 

4.06 

48.81 

4.27 

48.79 

4.48 

48.77 

4.7o::48.75 

4.91 

48.73 

5.12 

49 

5o 

ra 

a 

49.83 

4.i4 

Lat 

49.81 

4.36 
TatT 

49-79 

4.58 

49-77 

4.79    ;  49-75 

5.01 

49-73 
Dep. 

5.23 

5o 

Dep. 

Dep. 

Dep. 

Lat. 

Dep. 

lAt.        Dep. 

Lat.   [ 

Lat. 

g 

a 
a 

a 

8514  Deg. 

85  Deg. 

84%  Deg. 

841^  Deg. 

84%  Deg. 

84  Deg. 

I 

'r  A  V 

ERSE    Table. 

143 

B 
o 
a 

5i 

4%  Deg. 

5  Deg. 

1 

5M  Deg. 

5K  Deg. 

) 

5%  Deg. 

6  Deg. 

5 

D 

8 
5i 

Lat. 

50.82 

nep. 

4.22 

i^t. 

Dep. 

4.44 

Lat.     1   Dep. 

Lat. 

Dep. 

4.89 

I.At 

Dep. 
5.11 

l.at. 

Dep. 

5.33 

5o.8i 

50.79 

4.67 

50.77 

5o.74 

50.72 

52 

51.82 

4.3i 

5i.8o 

4.53 

51.78 

4.76 

51.76 

4.98 

51.74 

5.21 

51.72 

5.44 

52 

53 

52.82 

4.39 

52.80 

4.62 

52.78 

4.85 

52.76 

5.08 

52.73 

5.3i 

52.71 

5.54 

53 

54 

53.81 

4.47 

53.79 

4.71 

53.77 

4.94 

53.75 

5.18 

53.73 

5.4r 

53.70 

5.64 

54 

55 

54.81 

4.55 

54.79 

4.79 

54.77 

5.o3 

54.75 

5.27 

54.72 

5.5i 

54.70 

5.75 

55 

56 

55.81 

4.64 

55.79 

4.88 

55.77 

5.12 

55.74 

5.37 

55.72 

5.61 

55.69 

5.85 

56 

5? 

56.80 

4.72 

56.78 

4.97 

56.76 

5.22 

56.74 

5.46 

56.71 

5.7. 

56.69 

5.96 

57 

58 

57.80 

4.80 

57.78 

5.06 

57.76 

5.3 1 

57.73 

5.56 

57.71 

5.81 

57.68 

6.06 

58 

59 

58. 80 

4.89 

58.78 

5.i4 

58.75 

5.4o 

58.73 

5.65 

58.70 

5.9. 

58.68 

6.17 

59 

6o 

59.79 

4.97 

59.77 

5.23 

59.75 

5.49 

59.72 

5.75 

59.70 

6.01 

59.67 

6.27 

60 

6i 

60.79 

5.o5 

60.77 

5.32 

60.74 

5.58 

60.72 

5.85 

60.69 

6.11 

60.67 

6.38 

61 

62 

61.79 

5.i3 

61.76 

5.40 

61.74 

5.67 

61.71 

5.94 

61.69 

6.21 

61.66 

6.48 

62 

63 

62.78 

5.22 

62.76 

5.49 

62.74 

5.76 

62.71 

6.04 

62.68 

6.3i 

62.65 

6.59 

63 

64 

63.78 

5.3o 

63.76 

5.58 

63.73 

5.86 

63.71 

6.i3 

63.68 

6.4i 

63.65 

6.69 

64 

65 

64.78 

5.3S 

64.75 

5.67! 

64.73 

5.95 

64.70 

6.23 

64.67 

6.5i 

64.64 

6.79 

65 

66 

65.77 

5.47 

65.75 

5.75 

65.72 

6.o4 

65.70 

6.33 

65.67 

6.61 

65.64 

6.90 

66 

67 

66.77 

5.55 

66.75 

5.84 

66.72 

6.i3 

66.69 

6.42 

66.66 

6.7. 

66.63 

7.00 

67 

68 

67.77 

5.63 

67.74 

5.93 

67.71 

6.22 

67.69 

6.52 

67.66 

6.81 

67.63 

7.11 

68 

69 

68.76 

5.71 

68.74 

6.01 

68.71 

6.3i 

68.68 

6.61 

68.65 

6.9, 

68.62 

7.21 

69 

70 

69.76 

5.80    69.73 

6.10 

69.71 

6.4i 

69.68 

6.71 

69.65 

7.01 

69.62 

7.32 

70 

71 

70.76 

5.88     70.73 

6.19 

70.70 

6.5o 

70.67 

6.81 

70.64 

7.11 

70.61 

7.42 

71 

72 

71.75 

5.96 

71.73 

6.28 

71.70 

6.59 

71.67 

6.90 

71.64 

7.21 

71.61 

7.53 

72 

73 

72.75 

6.o4 

72.72 

6.36 

72.69 

6.68 

72.66 

7.00 

72.63 

7.3, 

72.60 

7.63 

73 

74 

73.75 

6.i3 

73.72 

6.45 

73.69 

6.77 

73.66 

7.09 

73.63 

7.4. 

73.59 

7.74 

74 

75 

74.74 

6.21  ^ 

74.71 

6.54 

74.69 

6.86 

74.65 

7.19 

74.62 

7.5i 

74.59 

7.84 

75 

76 

75.74 

6.29 

75.71 

6.62 

75.68 

6.95 

75.65 

7.28 

75.62 

7.61 

75.58 

7.94 

76 

77 

76.74 

6.38 

76.71 

6.71 

76.68 

7.o5 

76.65 

7.38 

76.61 

7-71 

76.58 

8.o5 

77 

78 

77-73 

6.46 

77.70 

6.80 

77.67 

7.14 

77.64 

7-48 

77.61 

7.8. 

77.57 

8.i5 

78 

79 

78.73 

6.54 

78.70 

6.89 

78.67 

7.23 

78.64 

7-57 

78.60 

7.91 

78.57 

8.26 

79 

80 

79.73 

6.62 

79.70 

6.97 

79.66 

7.32 

79.63 

7.67 

79.60 

8.02 

79.56 

8.36 

80 

81 

So. 72 

6.71 

80.69 

7.06 

80.66 

7.41 

8o.63 

7.76 

80.59 

8.12 

80. 56 

8.47 

81 

82 

81.72 

6.79 

81.69 

7.i5 

81.66 

7.5o 

81.62 

7.86 

81.59 

8.22 

8i.55 

8.57 

82 

83 

82.71 

6.87 

82.68 

7.23 

82.65 

7.59 

82.62 

7.96 

82.58 

8.32 

82.55 

8.68 

83 

84 

83.71 

6.96 

83.68 

7.32 

83.65 

7.69 

83.6i 

8.o5 

83.58 

8.42 

83.54 

8.78 

84 

85 

84.71 

7.04 

84.68 

7.41 

84.64 

7.78 

84.61 

8.i5 

84.57 

8.52 

84.53 

8.88 

85 

86 

85.70 

7.12 

85.67 

7.5o 

85.64 

7.87 

85.6o 

8.24 

85.57 

8.62 

85.53 

8-99 

86 

87 

86.70 

7.20 

86.67 

7.58 

86.64 

7.96 

86.60 

8.34 

86.56 

8.72 

86.52 

9.09 

87 

88 

87.70 

7.29 

87.67 

7.67 

87.63 

8.o5 

87.59 

8.43 

87.56 

8.82 

87.52 

9  20 

88 

89 

88.70 

7.37 

88.66 

7.76 

88.63 

8.i4 

88.59 

8.53 

88.55 

8.92 

88.5i 

9.30 

89 

90 

89.69 

7.45 

89.66 

7-84 

89.62 

8.24 

89.59 

8.63 

89.55 

9.02 

89.51 

9.41 

90 

91 

90.69 

7.54 

90.65 

7.93 

90.62 

8.33 

90.58 

8.72 

90.54 

9.12 

90.50 

9.5i 

9' 

92 

91.68 

7.62 

91.65 

8.02 

91.61 

8.42 

91.58 

8.82 

91.54 

9.22 

91.50 

9.62 

9^ 

93 

92.68 

7.70 

92.65 

8. II 

92.61 

8.5i 

92.57 

8.91 

92.53 

9.32 

92.49 

9.72 

93 

94 

93.68 

7.78 

93.64 

8.19 

93.61 

8.60 

93.57 

9.01 

93.53 

9.42 

93.49 

9.83 

94 

95 

94.67 

7.87 

94.64 

8.28 

94.60 

8.69 

94.56 

9.11 

94.52 

9.52 

94.48 

9.93 

95 

96 

95.67 

7.95 

95.63 

8.37 

95.60 

8.78 

95.56 

9.20 

95.52 

9.62 

95.47 

io.o3 

96 

97 

96.67 

8.o3 

96.63 

8.45 

96.59 

8.88 

96.55 

9.30 

96.51 

9.72 

96.47 

10. i4 

97 

98 

97.66 

8.12 

97.63 

8.54 

97.59 

8.97 

97.55 

9.39  ,97.51 

9.82 

97.46 

10.24 

98 

99 

98.66 

8.20 

98.62 

8.63 

98.59 

9.06 

98.54 

9.49  i  98.50 

9.92 

98.46 

10.35 

99 

too 

0 

a 

CS 

5 

99.66 

8.28 
Lat. 

!  99.62 
Dep. 

8.72 
Lat. 

99-58 

9.i5 
Lat. 

99-54 

9.58    99.50 

10.02 
Ijit. 

99.45 

10.45 

100 

Dep. 

Dep. 

Dep. 

Lat. 

,    I>ep. 

Dep. 

Lat. 

S 

a 

851^  Deg. 

85  Deg. 

843^  Deg. 

841^  Deg. 

84.^^  Deg. 

84  Deg. 

5 

CO 

a 

144 

T 

RAVERSE      iABLE 

• 

K 

a 
n 
? 

I 

QVi  Deg. 

6K  Deg. 

6%  Deg. 

7  Deg. 

7^  Deg. 

73^  Deg. 

0 

CO 

a 
0 

I 

I, at. 

0.99 
1.99 
2.98 
3.98 

4.97 

Dep. 

O.I  I 

I,at. 
0.99 

Dep. 
O.I  I 

I,at. 

Dep. 
0.12 

Lat.     1 

Dep.  [ 

Lat. 

Dep. 

Lat. 

Dep. 

o.i3 

0.99 

0.99 

0.12 

0.99 

0.l3 

0.99 

2 

0.22 

1.99 

0.23 

1.99 

0.24 

1.99 

0.24 

1.98 

0.25 

1.98 

0.26 

2 

3 

0.33 

2.98 

0.34 

2.98 

0.35 

2.98 

0.37 

2.98 

0.38 

2-97 

0.39 

3 

4 

0.44 

3.97 

0.45 

3.97 

0.47 

3.97 

0.49 

3-97 

o.5o 

3-97 

0.52 

4 

5 

0.54 

4.97 

0.57 

4-97 

0.59 

4.96 

0.61 

4.96 

0.63 

4.96 

0.65 

5 

6 

5.96 
6.96 

0.65 

5.96 

0.68 

5.96 

0.71 

5.96 

0.73 

5.95 

0.76 

5.95 

0.78 

6 

7 

0.76 

6.96 

0.79 

6.95 

0.82 

6.95 

0.85 

6.94 

0.88 

6.94 

0.91 

7 

/ 

8 

7.95 

0.87 

7.95 

0.91 

7.94 

0.94 

7-94 

0.97 

7-94 

1. 01 

7.93 

0 

i.o4 

8 

9 

8.95 

0.98 

8.94 

1.02 

8.94 

1.06 

8.93 

l.IO 

8.93 

i.i4 

8.92 

1. 17 

9 

lO 

9.94 

1.09 

9.94 

i.i3 

9.93 

1. 18 

9.93 

1.22 

9.92 

1.26 

9.91 

i.3i 

10 

II 

10.93 

1.20 

10.93 

1.25 

10.92 

1.29 

10.92 

1.34 

10.91 

1.39 

10.91 

1.44 

II 

12 

11.93 

i.3i 

I  1.92 

1.36 

1 1,92 

i.4i 

11.91 

1.46 

II  .90 

i.5i 

1 1.90 

1.57 

12 

i3 

12.92 
13.92 
14.91 

1.42 

12.92 

1.47 

12.91 

1.53 

12.90 

1.58 

12.90 

1.64 

12.89 

1 .70 

i3 

i4 

1.52 

13.91 

1.59 

13.90 

1.65 

13.90 

1.71 

13.89 

1-77 

i3.88 

1.83 

i4 

i5 

1.63 

14.90 

1.70 

14.90 

1.76 

14.89 

1.83 

14.88 

1.89 

14.87 

1.96 

i5 

i6 

1 5.00 

1.74 

iS.go 

1.81 

15.89 

1.88 

i5.88 

1.95 

15.87 

2.02 

i5.86 

2.09 

16 

'7 

16.90 

1.85 

16.89 

1.92 

16.88 

2.00 

16.87 

2.07 

16.86 

2.1 5 

i6.85 

2.22 

17 

i8 

17.89 

1.96 

17.88 

2.o4 

17.88 

2.12 

17.87 

2.19 

17.86 

2.27 

17.85 

2.35 

18 

IQ 

18.89 

2.07 

18.88 

2.l5 

18.87 

2.23 

18.86 

2.32 

i8.85 

2.4o 

18.84 

2.48 

19 

7 

20 

19.88 

2.18 

19.87 

2.26 

19.86 

2.35 

19.85 

2.44 

19.84 

2.52 

19.83 

2.61 

20 

21 

20.88 

2.29 

20.87 

2.38 

20.85 

2.47 

20.84 

2.56 

20.83 

2.65 

20.82 

2.74 

21 

22 

21.87 

2.40 

21.86 

2.49 

21.85 

2.59 

21.84 

2.68 

21.82 

2.78 

21.81 

2.87 

22 

a3 

22.86 

2.5o 

22.85 

2.60 

2  2.84 

2.70 

22.83 

2.80 

22.82 

2.90 

22.80 

3.00 

23 

24 

23.86 

2.61 

23.85 

2.72 

23.83 

2.82 

23.82 

2.92 

23.81 

3.o3 

23.79 

3.i3 

24 

25 

24.85 

2.72 

24.84 

2.83 

24.83 

2.94 

24.81 

3.o5 

24.80 

3.i5 

24.79 

3.26 

25 

26 

25.85 

2.83 

25.83 

2.94 

25.82 

3.06 

25.81 

3-17 

25.79 

3.28 

25.78 

3.39 

26 

27 

26.84 

2.94 

26.83 

3.06 

26.81 

3.17 

26.80 

3.29 

26.78 

3.4i 

26.77 

3.52 

27 

28 

27.83 

3.o5 

27.82 

3.17 

27.81 

3.29 

27.79 

3.4i 

27.78 

3.53 

27.76 

3.65 

28 

29 

28.83 

3.16 

28.81 

3.28 

28.80 

3.4i 

28.78 

3.53 

28.77 

3.66 

28.75 

3-79 

29 

3o 

29.82 

3.27 

29.81 

3.4o 

29.79 

3.53 

29.78 

3.66 

29.76 

3-79 

29.74 

3.92 

3o 

3i 

30.82 

3.37 

3o.8o 

3.5i 

30.79 

3.64 

30.77 

3.78 

30.75 

3.91 

30.73 

4.o5 

3i 

32 

3i.8i 

3.48 

31.79 

3.62 

31.78 

3.76 

31.76 

3.90 

31.74 

4.04 

31.73 

4.18 

32 

33 

32.80 

3.59 

32.79 

3.74 

32.77 

3.88 

32.75 

4.02 

32.74 

4.16 

32.72 

4.3i 

33 

34 

33.80 

3.70 

33.78 

3.85 

33.76 

4.00 

33.75 

4.i4 

33.73 

4.29 

33.71 

4.44 

34 

35 

34.79 

3.81 

34.78 

3.96 

34.76 

4. II 

34.74 

4.27 

34.72 

4.42 

34.70 

4.57 

35 

36 

35.79 

3.92 

35.77 

4.08 

35.75 

4.23 

35.73 

4.39 

35.71 

4.54 

35.69 

4.70 

36 

37 

36.78 

4.o3 

36.76 

4.19 

36.75 

4.35 

36.72 

4.5i 

36.70 

4.67 

36.68 

4.83 

37 

38 

37.77 

4.i4 

37.76 

4.3o 

37.74 

4.47 

37.72 

4.63 

37.70 

4.80 

37.67 

4.96 

38 

39 

38.77 

4.25 

38.75 

4.4i 

38.73 

4.58 

38.71 

4.75 

38.69 

4.92 

38.67 

5.09 

39 

4o 

39.76 

4.35 

39.74 

4.53 

39.72 

4.70 

39.70 

4.87 

39.68 

5.o5 

39.66 

5.22 

4o 

4i 

40.76 

4.46 

40.74 

4.64 

40.72 

4.82 

40.70 

5.00 

40.67 

5.17 

40.65 

5.35 

4i 

42 

41.75 

4.57 

41.73 

4.76 

41.71 

4.94 

41.69 

5.12 

41.66 

5.3o 

41.64 

5.48 

42 

43 

42.74 

4.68 

42.72 

4.87 

42.70 

5.o5 

42.68 

5  24 

42.66 

5.43 

42.63 

5.61 

43 

44 

43.74 

4.79 

43.72 

4.98 

43.70 

5.17 

43.67 

5.36 

43.65 

5.55 

43.62 

5.74 

44 

45 

44.73 

4.90 

44.71 

5.09 

44.69 

5.29 

44.67 

5.48 

44.64 

5.68 

44.62 

5.87 

45 

46 

45.73 

5.01 

45.70 

5.21 

45.68 

5.4i 

45.66 

5.61 

45.63 

5.81 

45.61 

6.00 

46 

47 

46.72 

5.12 

46.70 

5.32 

46.67 

5.52 

46.65 

5.73 

46.62 

5.93 

46.60 

6.i3 

47 

48 

47-71 

5.23 

47.69 

5.43 

47-67 

5.64 

47-64 

5.85 

47-62 

6.06 

47-59 

6.27 

48 

49 

48.71 

5.34 

48.69 

5.55 

48.66 

5.76 

48.63 

5.97 

48.61 

6.18 

48.58 

6.40 

49 

5o 

i 

to 

a 

49.70 

5.44 

Lat. 

49.68 

5.66 

49-65 

Dep. 

5.88 
I.at. 

49.63 

6.09 

Lat. 

49.60 

Dep. 

6  3i 
Lat. 

49.57 

6.53 
Lat. 

5o 

a 

Dep. 

Dep. 

Lat. 

Dep. 

Dep. 

83%  Deg. 

83K  Deg. 

83K  Deg. 

83  Deg. 

82%  Deg. 

82K  Deg. 

Traverse    Table. 


145 


2 

00* 

i 
5i 

6K  Deg. 

6K  Deg. 

6%  Deg. 

7  Deg. 

7%  Deg. 

7^  Deg. 

0 

Cft' 

ET 

D 
0 

5i 

I,at. 

l)ep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat 

Dep. 

50.70 

5.55 

50.67 

5.77 

5o.65 

5-99 

5o.62 

6.22 

50.59 

6.44 

5o.56 

6.66 

52 

51.69 

5.66 

51.67 

5.89 

5 1. 64 

6.11 

5i.6i 

6.34 

5i.58 

6.56 

5i.56 

6.79 

52 

53 

52.68 

5.77 

52.66 

6.00 

52.63 

6.23 

52.60 

6.46 

52.58 

6.69 

52.55 

6.92 

53 

54 

53.68 

5.88 

53.65 

6. II 

53.63 

6.35 

53.60 

6.58 

53.57 

6.81 

53.54 

7.o5 

54 

55 

54.67 

5.99 

54.65 

6.23 

54.62 

6.46 

54.59 

6.70 

54.56 

6.94 

54.53 

7.18 

55 

56 

55.67 

6.10 

55.64 

6.34 

55.61 

6.58 

55.58 

6.8?. 

55.55 

7.07 

55.52 

7.3i 

56 

57 

56.66 

6.21 

56.63 

6.45 

56.6o 

6.70 

56.58 

6.95 

56.54 

7.19 

56.5i 

7.44 

57 

58 

57.66 

6.3i 

57.63 

6.57 

57.60 

6.82 

57.57 

7.07 

57.54 

7.32 

57.50 

7.57 

58 

59 

58.65 

6.42 

58.62 

6.68 

58.59 

6.93 

58.56 

7.19 

58.53 

7.45 

58.5o 

7.70 

59 

60 

59.64 

6.53 

59.61 

6.79 

59.58 

7.o5 

59.55 

7.3i 

59.52 

7.57 

59.49 

7.83 

60 

61 

60.64 

6.64 

60.61 

6.91 

60.58 

7.17 

60.55 

7-43 

6o.5i 

7.70 

60.48 

7.96 

61 

62 

6i.63 

6.75 

61.60 

7.02 

61.57 

7.29 

61.54 

7.56 

61. 5o 

7.82 

61.47 

8.09 

62 

63 

62.63 

6.86 

62.60 

7.13 

62.56 

7.40 

62.53 

7.68 

62.50 

7.95 

62.46 

8.22 

63 

64 

63.62 

6.97 

63.59 

7.25 

63.56 

7.52 

63.52 

7.80 

63.49 

8.08 

63.45 

8.35 

64 

65 

64.61 

7.08 

64.58 

7.36 

64.55 

7.64 

64.52 

7.92 

64.48 

8.20 

64.44 

8.4b 

65 

66 

65.6i 

7.19 

65.58 

7-47 

65.54 

7.76 

65. 5i 

8.o4 

65.47 

8.33 

65.44 

8.61 

66 

67 

66.60 

7.29 

66.57 

7.58 

66.54 

7.88 

66.5o 

8.17 

66.46 

8.46 

66.43 

8.75 

67 

68 

67.60 

7.40 

67.56 

7.70 

67.53 

7-99 

67.49 

8.29 

67.46 

8.58 

67.42 

8.88 

68 

69 

68.59 

7.5i 

68.56 

7.81 

68.52 

8.11 

68.49 

8.4i 

68.45 

8.71 

68.41 

9.01 

69 

70 

69.58 

7.62 

69.55 

7.92 

69.51 

8.23 

69.48 

8.53 

69.44 

8.83 

69.40 

9.14 

70 

71 

70.58 

7.73 

70.54 

8.o4 

70.51 

8.35 

70.47 

8.65 

70.43 

8.96 

70.39 

9.27 

71 

72 

71.57 

7.84 

71.54 

8.i5 

71. 5o 

8.46 

71.46 

8.77 

71.42 

9.09 

71.38 

9.40 

72 

73 

72.57 

7.95 

72.53 

8.26 

72.49 

8.58 

72.46 

8.90 

72.42 

9.21 

72.38 

9.53 

73 

74 

73.56 

8.06 

73.52 

8.38 

73.49 

8.70 

73.45 

9.02 

73.41 

9.34 

73.37 

9.66 

74 

75 

74.55 

8.17 

74.52 

8.49 

74.48 

8.82 

74.44 

9.14 

74.40 

9.46 

74.36 

9-79 

75 

76 

75.55 

8.27 

75.51 

8.60 

75.47 

8.93 

75.43 

9.26 

75.39 

9.59 

75.35 

9.92 

76 

77 

76.54 

8.38 

76.51 

8.72 

76.47 

9.o5 

76.43 

9.38 

76.38 

9.72 

76.34 

lo.oS 

77 

78 

77.54 

8.49 

77. 5o 

8.83 

77-46 

9.17 

77.42 

9.5i 

77.38 

9.84 

77.33 

10.18 

78 

79 

78.53 

8.60 

78.49 

8.94 

78.45 

9.29 

78.41 

9.63 

78.37 

9-97 

78.32 

10. 3i 

79 

80 

79.53 

8.71 

79-49 

9.06 

79-45 

9.40 

79.40 

9-75 

79-36 

10.10 

79.32 

10.44 

80 

81 

80.52 

8.82 

80.48 

9.17 

80.44 

9.52 

8o.4o 

9.87 

80.35 

10.22 

8o.3i 

10.57 

8i 

82 

81. 5i 

8.93 

81.47 

9.28 

81.43 

9.64 

81.39 

9-99 

81.34 

10.35 

81. 3o 

10.70 

82 

83 

82. 5i 

9.04 

82.47 

9.40 

82.42 

9.76 

82.38 

10.12 

82.34 

10.47 

82.29 

10.83 

83 

84 

83. 5o 

9.14 

83.46 

9.5i 

83.42 

9.87 

83.37 

10.24 

83.33 

10.60 

83.28 

10.96 

84 

85 

84. 5o 

9.25 

84.45 

9.62 

84.41 

9-99 

84.37 

10. 36 

84.32 

10.73 

84.27 

1 1.09 

85 

86 

85.49 

9.36 

85.45 

9.74 

85.4o 

10. 1 1 

85.36 

10.48 

85.3i 

10.85 

85.26 

11.23 

86 

87 

86.48 

9.47 

86.44 

9.85 

86.40 

10. 23 

86.35 

10.60 

86. 3o 

10.98 

86.26 

11.36 

87 

88 

87.48 

9.58 

87.43 

9.96 

87.39 

10.34 

87.34 

10.72 

87.30 

1 1. 11 

87.25 

11.49 

88 

89 

88.47 

9.69 

88.43 

10.08 

88.38 

10.46 

88.34 

10.85 

88.29 

11.23 

88.24 

11.62 

89 

90 

89.47 

9.80 

89.42 

10.19 

89.38 

10. 58 

89.33 

10.97 

89.28 

11.36 

89.23 

11.75 

90 

91 

90.46 

9.91 

90.42 

10. 3o 

90.37 

10.70 

90.32 

11.09 

90.27 

11.48 

90.22 

11.88 

91 

92 

91.45 

10.02 

91.41 

10.41 

91.36 

10. 81 

91.31 

II. 2 1 

91.26 

1 1.61 

91.21 

12.01 

92 

93 

92.45 

10.12 

92.40 

10.53 

92.36 

10.93 

92.31 

11.33 

92.26 

11.74 

92.20 

12. i4 

93 

94 

93.44 

10. 23 

93.40 

10.64 

93.35 

ii.o5 

93.30 

11.46 

93.25 

11.86 

93.20 

12.27 

94 

95 

94.44 

10.34 

94.39 

10.75 

94.34 

11. 17 

94.29 

11.58 

94.24 

11.99 

94.19 

12.40 

95 

96 

95.43 

10.45 

95.38 

10.87 

95.33 

11.28 

95.28 

11.70 

95.23 

12.12 

95.18 

12.53 

96 

97 

96.42 

10. 56 

96.38 

10.98 

96.33 

1  i.4o 

96.28 

11.82 

96.22 

12.24 

96.17 

12.66 

97 

0 

98 

97.42 

10.67 

97.37 

11.09 

97.32 

11.52 

97.27 

11.94 

97.22 

12.37 

97.16 

12.79 

98 

99 

98.41 

10.78 

98.36 

II. 21 

98.31 

11.64 

98.26 

12.07 

98.21 

12.49 

98.15 

12.92 

0       c 

99 

100 

99.41 

10.89 

99.36 

11.32 
Lat. 

99.31 

11.75 

99.25 

12.19 

99.20 

12.62 

99.14 

i3.o5 

100 

a 

5 

Dep. 

I.at. 

Dep. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

8 

d 

m 

Q 

83%  Deg. 

833^ 

Deg. 

83% 

Deg. 

83  1 

)eg. 

82%  Deg. 

82K 

Deg. 

K 


146 


Traverse    Table. 


D 
in 

s 

1 

7%  Deg. 

8  Deg. 

8%  Deg. 

8%  Deg. 

8%  Deg. 

9  Deg. 

g 

55' 

1 

0 

1 

Ul. 

Dep. 

Lat. 

Dep. 

Lat 

Dep. 
o.i4 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 
0.16 

0.99 

o.i3 

0.99 

o.i4 

0.99 

0.99 

o.l5 

0.99 

o.i5 

0.99 

2 

1.98 

0.27 

1.98 

0.28 

1.98 

0.29 

1.98 

o.3o 

1.98 

o.3o 

1.98 

o.3i 

2 

3 

2.97 

o.4o 

2.97 

0.42 

2.97 

0.43 

2.97 

0.44 

2.97 

0.46 

2.96 

0.47 

3 

4 

3.96 

0.54 

3.96 

0.56 

3.96 

0.57 

3.96 

0.59 

3.95 

0.61 

3.95 

0.63 

4 

5 

4.95 

0.67 

4.95 

0.70 

4.95 

0.72 

4.95 

0.74 

4.94 

0.76 

4.94 

0.78 

5 

6 

5.95 

0.81 

5.94 

0.84 

5.94 

0.86 

5.93 

0.89 

5.93 

0.91 

5.93 

0.94 

6 

7 

6.g4 

0.94 

6.93 

0.97 

6.93 

1.00 

6.92 

i.o3 

6.92 

1.06 

6.91 

1. 10 

7 

8 

7.93 

1.08 

7.92 

1. 11 

7.92 

i.i5 

7.91 

1.18 

7.91 

1.22 

7.90 

1.25 

8 

9 

8.92 

1.21 

8.91 

1.25 

8.91 

1.29 

8.90 

1.33 

8.90 

1.37 

8.89 

i.4i 

9 

10 

9.91 

1.35 

9.90 

1.39 

9.90 

1.43 

9.89 

1.48 

9.88 

1.52 

9.88 

1.56 

10 

II 

10.90 

1.48 

10.89 

1.53 

10.89 

1.58 

10.88 

1.63 

10.87 

1.67 

10.86 

1.72 

1 1 

12 

11.89 

1.62 

11.88 

1.67 

11.88 

1.72 

11.87 

1.77 

11.86 

1.83 

11.85 

1.88 

12 

i3 

12.88 

1.75 

12.87 

1.81 

12.87 

1.87 

12.86 

1.92 

12.85 

1.98 

12.84 

2.o3 

i3 

i4 

13.87 

1.89 

i3.86 

1.95 

i3.86 

2.01 

i3.85 

2.07 

i3.84 

2.l3 

i3.83 

2.19 

i4 

i5 

14.86 

2.02 

i4.85 

2.09 

i4.85 

2.l5 

14.84 

2.22 

i4.83 

2.28 

14.82 

2.35 

i5 

i6 

i5.85 

2.16 

i5.84 

2.23 

i5.84 

2.3o 

15.82 

2.36 

i5.8i 

2.43 

i5.8o 

2.5o 

16 

'7 

16.84 

2.29 

i6.83 

2.37 

i6.83 

2.44 

16.81 

2.5l 

16.80 

2.59 

16.79 

2.66 

17 

i8 

17.84 

2.43 

17.82 

2.5l 

17.81 

2.58 

17.80 

2.66 

17.79 

2.74 

17.78 

2.82 

18 

19 

18.83 

2.56 

18.82 

2.64 

18.80 

2.73 

18.79 

2.81 

18.78 

2.89 

18.77 

2.97 

19 

20 

19.82 

2.70 

19.81 

2.78 

19.79 

2.87 

19.78 

2.96 

19.77 

3.o4 

19.75 

3.i3 

20 

21 

20.81 

2.83 

20.80 

2.92 

20.78 

3.01 

20.77 

3.10 

20.76 

3.19 

20.74 

3.29 

21 

22 

21.80 

2.97 

21.79 

3.06 

21.77 

3.16 

21.76 

3.25 

21.74 

3.35 

21.73 

3.44 

22 

23 

22.79 

3.10 

22.78 

3.20 

22.76 

3.3o 

22.75 

3.4o 

22.73 

3.5o 

22.72 

3.60 

23 

24 

23.78 

3.24 

23.77 

3.34 

23.75 

3.44 

23.74 

3.55 

23.72 

3.65 

23.70 

3.75 

24 

25 

24.77 

3.37 

24.76 

3.48 

24.74 

3.59 

24.73 

3.70 

24.71 

3.80 

24.69 

3.91 

25 

26 

25.76 

3.5i 

25.75 

3.62 

25.73 

3.73 

25.71 

3.84 

25.70 

3.96 

25.68 

4.07 

26 

27 

26.75 

3.64 

26.74 

3.76 

26.72 

3.87 

26.70 

3.99 

26.69 

4.11 

26.67 

4.22 

27 

28 

27.74 

3.78 

27.73 

3.90 

27.71 

4.02 

27.69 

4.14 

27.67 

4.26 

27.66 

4.38 

28 

29 

28.74 

3.91 

28.72 

4.o4 

28.70 

4.16 

28.68 

4.29 

28.66 

4.4i 

28.64 

4.54 

29 

3o 

29.73 

4.o5 

29.71 

4.18 

29.69 

4.3o 

29.67 

4.43 

29.65 

4.56 

29.63 

4.69 

3o 

3i 

30.72 

4.18 

30.70 

4.3i 

30.68 

4.45 

3o.66 

4.58 

3o.64 

4.72 

30.62 

4.85 

3i 

32 

31.71 

4.32 

31.69 

4.45 

31.67 

4.59 

31.65 

4.73 

31.63 

4.87 

3i.6i 

5.01 

32 

33 

32.70 

4.45 

32.68 

4.39 

32.66 

4.74 

32.64 

4.88 

32.62 

5.02 

32.59 

5.16 

33 

34 

33.69 

4.58 

33.67 

4.73 

33.65 

4.88 

33.63 

5.o3 

33.60 

5.17 

33.58 

5.32 

34 

35 

34.68 

4.72 

34.66 

4.87 

34.64 

5.02 

34.62 

5.17 

34.59 

5.32 

34.57 

5.48 

35 

36 

35.67 

4.85 

35.65 

5.01 

35.63 

5.17 

35.60 

5.32 

35.58 

5.48 

35.56 

5.63 

36 

37 

36.66 

4.99 

36.64 

5.i5 

36.62 

5.3i 

36.59 

5.47 

36.57 

5.63 

36.54 

5.79 

37 

38 

37.65 

5.12 

37.63 

5.29 

37.61 

5.45 

37.58 

5.62 

37.56 

5.78 

37.53 

5.94 

38 

39 

38.64 

5.26 

38.62 

5.43 

38.6o 

5.60 

38.57 

5.76 

38.55 

5.93 

38.52 

6.10 

39 

4o 

39.63 

5.39 

39.61 

5.57 

39.59 

5.74 

39.56 

5.91 

39.53 

6.08 

39.51 

6.26 

4o 

4i 

40.63 

5.53 

4o.6o 

5.71 

4o.58 

5.88 

40.55 

6.06 

4o.52 

6.24 

4o.5o 

6.4i 

4i 

42 

41.62 

5.66 

41.59 

5.85 

41.57 

6.o3 

41.54 

6.21 

4i.5i 

6.39 

41.48 

6.57 

42 

43 

42.61 

5.80 

42.58 

5.98 

42.56 

6.17 

42.53 

6.36 

42. 5o 

6.54 

42.47 

6.73 

43 

44 

43.60 

5.93 

43.57 

6.12 

43.54 

6.3i 

43.52 

6.5o 

43.49 

6.69 

43.46 

6.88 

44 

45 

44.59 

6.07 

44.56 

6.26 

44.53 

6.46 

44.5i 

6.65 

44.48 

6.85 

44.45 

7.04 

45 

46 

45.58 

6.20 

45.55 

6.4o 

45.52 

6.60 

45.49 

6.80 

45.46 

7.00 

45.43 

7.20 

46 

47 

46.57 

6.34 

46.54 

6.54 

46.5i 

6.74 

46.48 

6.951 

46.45 

7.15 

46.42 

7.35 

47 

48 

47.56 

6.47 

47.53 

6.68 

47.5o 

6.89 

47.47 

7.09 

47.44 

7.3o 

47.41 

7.5i 

48 

49 

48.55 

6.61 

48.52 

6.82 

48.49 

7.o3 

48.46 

7.24 

48.43 

7.45 

48.4o 

7.67 

49 

5o 

§ 

49.54 

6.74 

Lat. 

49.51 

6.9^ 

49.48 

7.17 

49.45 

7.39  1 

I.at. 

49.42 

7.61 

49.38 

7.82 
Lat. 

5o 
8 

a 
a 
m 
£ 

Dep. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Dep. 

Lat. 

Dep. 

82%  Deg. 

82  Deg. 

81%  Deg. 

811^  Deg. 

81M  Deg. 

i 

81  Deg. 

T 

R  A  V  E  R  S  E     T  . 

A.BL  E. 

U7 

5 

en" 

u 

a 
5i 

7%  Deg. 

8  Deg. 

8K  Deg. 

8K  Deg. 

8%  Deg. 

9  Deg. 

2 

E' 

1 

Lat. 

Dep. 
6.88 

Lat. 

Dep. 
7.10 

Lat. 

Dep. 

Lat. 

Dep. 

i^t. 

Dep. 

ijit. 

Dep. 

5o.53 

5o.5o 

5o.47 

7.32 

5o.44 

7.54 

5o.4i 

7.76 

50.37 

7.98 

5i 

52 

51.53 

7.01 

51.49 

7.24 

5 1. 46 

7.46 

5i.43 

7.69 

51.39 

7.91 

5i.36 

8.i3 

52 

53 

52.52 

7.i5 

52.48 

7.38 

52.45 

7.61 

52.42 

7.83 

52.38 

8.06 

52.35 

8.29 

53' 

54 

53.5i 

7.28 

53.47 

7.52 

53.44 

7.75 

53.41 

7.98 

53.37 

8.21 

53.34 

8.45 

54 

55 

54.5o 

7.42 

54.46 

7.65 

54.43 

7.89 

54.40 

8.i3 

54.36 

8.37 

54.32 

8.60 

55 

56 

55.49 

7.55 

55.46 

7-79 

55.42 

8.o4 

55.38 

8.28 

55.35 

8.52 

55.3i 

8.76 

56  1 

57 

56.48 

7.69 

56.45 

7.93 

56.4i 

8.18 

56.37 

8.43 

56.34 

8.67 

56. 3o 

8.92 

57 

58 

57.47 

7.82 

57.44 

8.07 

57.40 

8.32 

57.36 

8.57 

57.32 

8.82 

57.29 

9.07 

58 

59 

58.46 

7.96 

58.43 

8.21 

58.39 

8.47 

58.35 

8.72 

58.3i 

8.98 

58.27 

9.23 

59  1 

6o 

59.45 

8.09 

59.42 

8.35 

59.38 

8.61 

59.34 

8.87 

59.30 

9.13 

59.26 

9.39 

60  1 

6i 

60.44 

8.23 

60. 4i 

8.49 

60.37 

8.75 

60.33 

9.02 

60.29 

9.28 

60.25 

9.54 

61 

62 

61.43 

8.36 

61. 4o 

8.63 

61.36 

8.90 

61.32 

9.16 

61.28 

9.43 

61.24 

9.70 

62 

63 

62.42 

8.5o 

62.39 

8.77 

62.35 

9.04 

62.31 

9.31 

62.27 

9.58 

62.22 

9.86 

63      ; 

64 

63.42 

8.63 

63.38 

8.91 

63.34 

9.18 

63.3o 

9-46 

63.26 

9-74 

63.21 

10.01 

64 

65 

64.41 

8.77 

64.37 

9.05 

64.33 

9.33 

64.29 

9.61 

64.24 

9.89 

64.20 

10.17 

65 

66 

65.4o 

8.90 

65.36 

9.19 

65.32 

9.47 

65.28 

9.76 

65.23 

10.04 

65.19 

10.32 

66 

67 

66.39 

9.04 

66.35 

9.32 

66.3i 

9.61 

66.26 

9.90 

66.22 

10.19 

66.18 

I0.48 

67 

68 

67.38 

9.17 

67.34 

9.46 

67.30 

9.76 

67.25 

10. o5 

67.21 

10.34 

67.16 

10.64 

68 

69 

68.37 

9.30 

68.33 

9.60 

68.29 

9.90 

68.24 

10.20 

68.20 

10. 5o 

68.15 

10.79 

69 

70 

69.36 

9.44 

69.32 

9.74 

69.28 

10.04 

69.23 

10.35 

69.19 

10.65 

69.14 

10.95 

70 

71 

70.35 

9.57 

70.31 

9.88 

70.27 

10.19 

70.22 

10.49 

70.17 

10.80 

70.13 

11.11 

71 

72 

71.34 

9.71 

71.30 

IO..J2 

71.25 

10.33 

/1. 21 

10.64 

71. i6 

10.95 

71.1 1 

11.26 

72 

73 

72.33 

9-84 

72.29 

10.16 

72.24 

10.47 

72.20 

10.79 

72.15 

1 1. 10 

72.10 

11.42 

73 

74 

73.32 

9-98 

73.28 

10. 3o 

73.23 

10.62 

73.19 

10.94 

73.14 

11.26 

73.09 

11.58 

74 

75 

74.31 

1 

10. II 

74.27 

10.44 

74.22 

10.76 

74.18 

1 1.09 

74.13 

ii.4i 

74.08 

11.73 

75 

76 

75.31 

10.25 

75.26 

10. 58 

75.21 

10.91 

75.17 

11.23 

75.12 

11.56 

75.06 

11.89I    76 

77 

76.30 

I0.38 

76.25 

10.72 

76.20 

ii.o5 

76.15 

11.38 

76.10 

1 1. 71 

76.05 

12. o5 

77 

78 

77.29 

10. 52  77.24 

10.86 

77.19 

11.19 

77.14 

11.53 

77.09 

11.87 

77.o4 

12.20 

78 

79 

78.28 

I0.65  ,78.23 

10.99 

78.18 

11.34 

78.13 

11.68 

78.08 

12.02 

78.03 

12.36 

79 

80 

79.27 

10.79 

79.22 

t  i.i3 

79.17 

11.48 

79.12 

11.82 

79.07 

12.17 

79.02 

12. 5i 

80 

81 

80.26 

10.92 

80.21 

11.27 

80. i6 

11.62 

80.11 

11.97 

80.06 

12.32 

80.00 

72.67 

81 

82 

81.25 

11.06 

81.20 

II. 4i 

81. i5 

11.77 

81.10 

12.12 

8i.o5 

12.47 

80.99 

12.83 

82 

83 

82.24 

II. 19     82. IQ 

11.55 

82.14 

II. 91 

82.09 

12.27 

82.03 

12.63 

81.98 

12.98 

83 

84 

83.23 

11.33 

83.18 

11.69 

83.13 

12. o5 

83.08 

12.42 

83.02 

12.78 

82.97 

i3.i4 

84 

85 

84.22 

11.46 

84.17 

11.83 

84.12 

12.20 

84.07 

12.56 

84.0I 

12.93 

83.95 

i3.3o 

85 

86 

85.21 

11.60 

85.16 

11.97 

85.11 

12.34 

85.06 

12.71 

85.00 

1 3.08 

84.94 

i3.45 

86 

87 

86.21 

11.73 

86. i5 

12. 1 1 

86.10 

12.48 

86.04 

12.86 

85.99 

i3.23 

85.93 

i3.6i 

87 

88 

87.20 

11.87  87.14 

12.25 

87.09 

12.63 

87.03 

i3.oi 

86.98 

13.39 

86.92 

13.77 

88 

89 

88.19 

12.00  88.13 

12.39 

88.08 

12.77 

88.02 

i3.i6 

87.96 

i3.54 

87.90 

13.92 

89 

90 

89.18 

12. i4 

89.12 

12.53 

89.07 

12.91 

89.01 

i3.3o 

88.95 

13.69 

88.89 

14.08 

90 

91 

90.17 

12.27 

90.11 

12.66 

90.06 

i3.o6 

90.00 

i3.45 

89.94 

i3.84 

89.88 

14.24 

91 

92 

91.16 

I2.4l 

91.10 

12.80 

91.05 

l3.20 

90.99 

i3.6o 

90.93 

i4.oo 

90.87 

14.39 

92 

93 

92.15 

12.54 

92.09 

12.94 

92.04 

1 3.34 

91.98 

13.75 

91.92 

i4.i5 

91.86 

i4.55 

93 

94 

93.14 

12.68 

93.09 

1 3.08 

93.03 

13.49 

92.97 

13.89 

92.91 

i4.3o 

92.84 

14.70 

94 

95 

94.13 

I2.8l 

94.08 

l3.22 

94.02 

i3.63 

93.96 

i4.o4 

93.89 

14.45 

93.83 

i4.86 

95 

96 

95.12 

12.95 

95.07 

i3.36 

95.01 

13.78 

94.95 

14.19 

94.88 

14.60 

94.82 

l5.02 

r 

96 

97 

96.11 

i3.o8 

96.06 

i3.5o 

96.00 

13.92 

95.93 

14.34 

95.87 

14.76 

95.81 

15.17 

97 

98 

97.10 

l3.22 

97.05 

i3.64 

96.99 

i4.o6 

96.92 

14.49 

96.86 

14.91 

96.79 

0 

i5.33 
x5.49 

98 

99 

98.10 

13.35 

q8.o4 

13.78 

97.98 

l4.21 

97.91 

i4.63 

97.85 

1 5.06 

97.78 

99 

100 

99.09 

13.49 

7             ^ 

99.03 

13.92 

98.97  i4.35 

98.90 

14.78 

98.84 

l5.21 

lat. 

98.77 

i5.64 

100 

8 

CO 

(5 

Dep. 

Lat. 

1   Dep. 

IM. 

Dep.        Lat. 

Dep. 

Lat. 

Dep. 

Dep. 

LaL 

S 
1 

so 

821^  Deg. 

82  Deg. 

81%  Deg. 

81^ 

Deg. 

81^  Deg. 

81  Deg. 

148 

T 

BAVEKSE      IaBLI 

'• 

g 

55' 
S 

a 

s 

I 

9K  Deg. 

9K  Deg. 

9%  Deg. 

10  Deg. 

10%  Deg. 

lOK  Deg. 

0 
m' 
5 
a 
0 

a 

1 

Lat. 

Dep. 

I>at. 

Dep. 

Lat. 

Dep. 
0.17 

Lat.     1  Dep. 

Lat. 

Dep. 
0.18 

Lat. 

Dep. 
0.18 

0.99 
1.97 
2.96 
3.95 
4.93 

0.16 

0.99 

0.17 

0.99 

0.98 

0.17 

0.98 

0.98 

2 

0.32 

1.97 

0.33 

1.97 

0.34 

1.97 

0.35 

1.97 

0.36 

1.97 

0.36 

2 

3 

0.48 

2.96 

o.5o 

2.96 

o.5i 

2.95 

0.52 

2.95 

0.53 

2.95 

0.55 

3 

4 

0.64 

3.95 

0.66 

3.94 

0.68 

3.94 

0.69 

3.94 

0.71 

3.93 

0.73 

4 

5 

0.80 

4.93 

0.83 

4.93 

0.85 

4.92 

0.87 

4.92 

0.89 

4.92 

0.91 

5 

6 

5.92 
6.91 
7.90 

8.88 

0.96 

5.92 

0.99 

5.91 

1.02 

5.91 

i.o4 

5.90 

1.07 

5.90 

1.09 

6 

7 
8 

i.i3 

6.90 

1. 16 

6.90 

1. 19 

6.89 

1.22 

6.89 

1.25 

6.88 

1.28 

7 

1.29 

7.89 

1.32 

7.88 

1.35 

7.88 

1.39 

7.87 

1.42 

7.87 

1.46 

8 

9 

10 

1.45 

8.88 

1.49 

8.87 

1.52 

8.86 

1.56 

8.86 

1.60 

8.85 

1.64 

9 

9.87 

1.61 

9.86 

1.65 

9.86 

1.69 

9.85 

1.74 

9.84 

1.78 

9.83 

1.82 

10 

II 

10.86 

1.77 

10.85 

1.82 

I0.84 

1.86 

I0.83 

1.91 

10.82 

1.96 

10.82 

2.00 

II 

12 

11.84 

1.93 

11.84 

1.98 

11.83 

2.o3 

11.82 

2.08 

11.81 

2.l4 

11.80 

2.19 

12 

i3 

12.83 

2.09 

12.82 

2.l5 

12.81 

2.20 

12.80 

2.26 

12.79 

2.3l 

12.78 

2.37 

i3 

i4 

13.82 

2.25 

i3.8i 

2.3l 

i3.8o 

2.37 

13.79 

2.43 

13.78 

2.49 

13.77 

2.55 

i4 

i5 

14.80 

2.4l 

14.79 

2.48 

14.78 

2.54 

14.77 

2.60 

14.76 

2.67 

14.75 

2.73 

i5 

i6 

i5.79 

2.57 

15.78 

2.64 

15.77 

2.71 

15.76 

2.78 

15.74 

2.85 

15.73 

2.92 

16 

I? 

16.78 

2.73 

16.77 

2.81 

16.75 

2.88 

16.74 

2.95 

16.73 

3.o3 

16.72 

3.10 

17 

i8 

17.77 

2.89 

17.75 

2.97 

17.74 

3.o5 

17.73 

3.i3 

17.71 

3.20 

17.70 

3.28 

18 

IQ 

18.75 

3.o5 

18.74 

3.i4 

18.73 

3.22 

18.71 

3.3o 

18.70 

3.38 

18.68 

3.46 

19 

7 

20 

/ 

19.74 

3.21 

19.73 

3.3o 

19.71 

3.39 

19.70 

3.47 

19.68 

3.56 

19.67 

3.64 

20 

21 

20.73 

3.38 

20.71 

3.47 

20.70 

3.56 

20.68 

3.65 

20.66 

3.74 

20.65 

3.83 

21 

22 

21.71 

3.54 

21.70 

3.63 

21.68 

3.73 

21.67 

3.82 

21.65 

3.91 

21.63 

4.01 

22 

23 

22.70 

3.70 

22.68 

3.80 

22.67 

3.90 

22.65 

3.99 

22.63 

4.09 

22.61 

4.19 

23 

24 

23.69 

3.86 

23.67 

3.96 

23.65 

4.06 

23.64 

4.17 

23.62 

4.27 

23.60 

4.37 

24 

25 

7 

24.67 

4.02 

24.66 

4.i3 

24.64 

4.23 

24.62 

4.34 

24.60 

4.45 

24.58 

4.56 

25 

26 

25.66 

4.18 

25.64 

4.29 

25.62 

4.4o 

25.61 

4.5i 

25.59 

4.63 

25.56 

4.74 

26 

27 

26.65 

4.34 

26.63 

4.46 

26.61 

4.57 

26.59 

4.69 

26.57 

4.80 

26.55 

4.92 

27 

28 

27.64 

4.5o 

27.62 

4.62 

27.60 

4.74 

27.57 

4.86 

27.55 

4.98 

27.53 

5.10 

28 

29 

28.62 

4.66 

28.60 

4.79 

28.58 

4.91 

28.56 

5.o4 

28.54 

5.16 

28.51 

5.28 

29 

3o 

29.61 

4.82 

29.59 

4.95 

29.57 

5.08 

29.54 

5.21 

29.52 

5.34 

29.50 

5.47 

3o 

3i 

3o.6o 

4.98 

30.57 

5.12 

30.55 

5.25 

30.53 

5.38 

3o.5i 

5.52 

30.48 

5.65 

3i 

32 

31.58 

5.i4 

31.56 

5.28 

31.54 

5.42 

3i.5i 

5.56 

3i.49 

5.69 

31.46 

5.83 

32 

33 

32.57 

5.3o 

32.55 

5.45 

32.52 

5.59 

32. 5o 

5.73 

32.47 

5.87 

32.45 

6.01 

33 

34 

33.56 

5.47 

33.53 

5.61 

33.5i 

5.76 

33.48 

5.90 

33.46 

6.o5 

33.43 

6.20 

34 

35 

34.54 

5.63 

34.52 

5.78 

34.49 

5.93 

34.47 

6.08 

34.44 

6.23 

34.41 

6.38 

35 

36 

35.53 

5.79 

35.5i 

5.94 

35.48 

6.10 

35.45 

6.25 

35.43 

6.4i 

35.40 

6.56 

36 

37 

36.52 

5.95 

36.49 

6.11 

36.47 

6.27 

36.44 

6.42 

36.4i 

6.58 

36.38 

6.74 

37 

38 

37.51 

6.11 

37.48 

6.27 

37.45 

6.44 

37.42 

6.60 

37.39 

6.76 

37.36 

6.92 

38 

39 

38.49 

6.27 

38.47 

6.44 

38.44 

6.60 

38.4i 

6.77 

38.38 

6.94 

38.35 

7.11 

39 

4o 

39.48 

6.43 

39.45 

6.60 

39.42 

6.77 

39.39 

6.95 

39.36 

7.12 

39.33 

7.29 

4o 

4i 

40.47 

6.59 

40.44 

6.77 

4o.4i 

6.94 

4o.38 

7.12 

40.35 

7.3o 

4o.3i 

7.47 

4i 

42 

41.45 

6.75 

41.42 

6.92 

41.39 

7.11 

41.36 

7.29 

41.33 

7.47 

4i.3o 

7.65 

42 

43 

42.44 

6.91 

42.41 

7.10 

42.38 

7.28 

42.35 

7.47 

42. 3i 

7.65 

42.28 

7-84 

43 

44 

43.43 

7.07 

43.40 

7.26 

43.36 

7.45 

43.33 

7.64 

43.3o 

7.83 

43.26 

8.02 

44 

45 

44.41 

7.23 

44.38 

7.43 

44.35 

7.62 

44.32 

7.81 

44.28 

8.01 

44.25 

8.20 

45 

46 

45.40 

7.39 

45.37 

7.59 

45.34 

7-79 

45.3o 

7.99 

45.27 

8.19 

45.23 

8.38 

46 

47 

46.39 

7.55 

46.36 

7.76 

46.32 

7.96 

46.29 

8.16 

46.25 

8.36 

46.21 

8.57 

47 

48 

47.38 

7.72 

47.34 

7.92 

47.31 

8.i3 

47.27 

8.34 

47.23 

8.54 

47.20 

8.75 

48 

49 

48.36 

7.88 

48.33 

8.09 

48.29 

8.3o 

48.26 

8.5i 

48.22 

8.72 

48.18 

8.93 

49 

5o 

8 

m 

a 

49.35 

8.o4 
Lat. 

49.32 

8.25 

49.28 

8.47 

49.24 

8.68 
Lat. 

49.20 
Dep. 

8.90 
Lat. 

49.16 

9.11 
Lat. 

5o 

a 
a 

CO 

Q 

Dep. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Dep. 

80%  Deg. 

80K  Deg. 

80K  Deg. 

80  Deg. 

79%  Deg. 

79^  Deg. 

Traverse    Table. 


140 


2 
§ 

5i 

934  Deg. 

9}4  Deg. 

9%  Deg. 

10  Deg. 

10%  Deg. 

103^  Deg. 

0 

to 

a 

Lat. 

Dep. 

8.20 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

I-at. 

Dep. 

Lat 

Dep. 

5o.34 

5o.3o 

8.42 

5o.26 

8.64 

5o.23 

8.86 

50.19 

9.08 

5o.i5 

9.29 

5i 

52 

5i.32 

8.36 

51.29 

8.58 

5i.25 

8.81 

5 1.2 1 

9.03 

51.17 

9.25 

5i.i3 

9.48 

5  a 

53 

52. 3i 

8.52 

52.27 

8.75 

52.23 

8.98 

52.19 

9.20 

52.15 

9.43 

52.11 

9.66 

53 

54 

53. 3o 

8.68 

53.26 

8.91 

53.22 

9.14 

53.18 

9.38 

53.14 

9.61 

53.10 

9.84 

54 

55 

54.28 

8.84 

54.25 

9.08 

54.21 

9.3i 

54.16 

9.55 

54.12 

9-79 

54.08 

10.02 

55 

56 

55.27 

9.00 

55.23 

9.24 

55.19 

9-48 

55.15 

9.72 

55.11 

9.96 

55.06 

10.21 

56 

5? 

56.26 

9.16 

56.22 

9.41 

56.18 

9.65 

56.13 

9.90 

56.09 

10.14 

56.05 

10.39 

5? 

58 

57.25 

9.32 

57.20 

9.57 

57.16 

9.82 

57.12 

10.07 

57.07 

10.32 

57.03 

10.57 

58 

59 

58.23 

9-48 

58.19 

9.74 

58. i5 

9-99 

58.10 

10.25 

58.06 

10. 5o 

58.01 

10.75 

59 

60 

59.22 

9-64 

59.18 

9.90 

59.13 

10.16 

09.09 

10.42 

59.04 

10.68 

59.00 

10,93 

60 

61 

60.21 

9.81 

60.16 

10.07 

60.12 

10.33 

60.07 

10.59 

6o.o3 

10.85 

59.98 

1 1.12 

61 

62 

61.19 

9-97 

61. i5 

10. 23 

61.10 

10. 5o 

61.06 

10.77 

61.01 

1  i.o3 

60.96 

11. 3o 

62 

63 

62.18 

io.i3 

62.14 

10. 4o 

62.09 

10.67 

62.04 

10.94 

61.99 

11.21 

61.95 

11.48 

63 

64 

63.17 

10.29 

63.12 

I0.56 

63.o8 

10.84 

63.03 

11.11 

62.98 

11.39 

62.93 

11.66 

64 

65 

64.15 

10.45 

64.11 

10.73 

64.06 

II. 01 

64.01 

1 1.29 

63.96 

11.57 

63.91 

11.85 

65 

66 

65.14 

10  61 

65.09 

10.89 

65.05 

II. 18 

65. 00 

11.46 

64.95 

11.74 

64.89 

12. o3 

66 

67 

66.13 

10.77 

66.08 

11.06 

66.o3 

11.35 

65.98 

11.63 

65.93 

11.92 

65.88 

12.21 

67 

68 

67.12 

10.93 

67.07 

11.22 

67.02 

11.52 

66.97 

11.81 

66. gi 

12.10 

66.86 

12.39 

68 

69 

68.10 

11.09 

68.o5 

11.39 

68.00 

11.69 

67.95 

11.98 

67.90 

12.28 

67.84 

12.57 

69 

70 

69.09 

11.25 

69.04 

11.55 

68.99 

11.85 

68.94 

12.16 

68.88 

12.46 

68.83 

12.76 

70 

71 

70.08 

ir.4i 

70.03 

11.72 

69.97 

12.02 

69.92 

12.33 

69.87 

12.63 

69.81 

12.94 

71 

72 

71.06 

11.57 

71.01 

11.88 

70.96 

12.19 

70.91 

12. 5o 

70.85 

12.81 

70.79 

l3.I2 

72 

73 

72.05 

11.73 

72.00 

12. o5 

71.95 

12.36 

71.89 

12.68 

71.83 

12.99 

71.78 

i3.3o 

73 

74 

73.04 

11.89 

72.99 

12.21 

72.93 

12.53 

72.88 

12.85 

72.82 

13.17 

72.76 

13.49 

74 

75 

74.02 

12.06 

73.97 

12.38 

73.92 

12.70 

73.86 

l3.02 

73.80 

i3.35 

73.74 

13.67 

75 

76 

75.01 

12.22 

74.96 

12.54 

74.90 

12.87 

74.85 

l3.20 

74.79 

i3.52 

74.73 

13.85 

76 

77 

76.00 

12.38 

75.94 

12.71 

75.89 

i3.o4 

75.83 

13.37 

75.77 

13.70 

75.71 

i4.o3 

77 

78 

76.99 

12.54 

76.93 

12.87 

76.87 

l3.2I 

76.82 

i3.54 

76.76 

1 3.88 

76.69 

14.21 

78 

79 

77-97 

12.70 

77.92 

i3.o4 

77.86 

i3.38 

77.80 

13.72 

77-74 

14.06 

77.68 

i4.4o 

79 

80 

78.96 

12.86 

78.90 

l3.20 

78.84 

i3.55 

78.78 

13.89 

78.72 

14.24 

78.66 

i4.58 

80 

81 

79.95 

l3.02 

79.89 

13.37 

79.83 

13.72 

79-77 

14.07 

79-7' 

i4.4i 

79.64 

14.-76 

81 

82 

80.93 

i3.i8 

80.88 

i3.53 

80.82 

13.89 

80.75 

14.24 

80.69 

14.59 

80.63 

14.94 

82 

83 

81.92 

i3.34 

81.86 

13.70 

81.80 

14.06 

81.74 

i4.4i 

81.68 

14.77 

81.61 

i5.i3 

83 

84 

82.91 

i3.5o 

82.85 

i3.86 

82.79 

l4.23 

82.72 

14.59 

82.66 

14.95 

82.59 

i5.3i 

84 

85 

83.89 

i3.66 

83.83 

i4.o3 

83.77 

14.39 

83.71 

14.76 

83.64 

i5.i3 

83.58 

i5.49 

85 

86 

84.88 

13.82 

84.82 

14.19 

84.76 

14.56 

84.69 

14.93 

84.63 

i5.3o 

84.56 

15.67 

86 

87 

85.87 

13.98 

85.8i 

i4.36 

85.74 

14.73 

85.68 

i5.u 

85.6i 

i5.48 

85.54 

i5.85 

87 

88 

86.86 

i4.i5 

86.79 

i4.52 

86.73 

14.90 

86.66 

i5.28 

86.60 

i5.66 

86.53 

16.04 

88 

89 

87.84 

i4.3i 

87.78 

14.69 

87.71 

i5.07 

87.65 

i5.45 

87.58 

1 5.84 

87.51 

16.22 

89 

90 

88.83 

14.47 

88.77 

i4.85 

88.70 

i5.24 

88.63 

15.63 

88.56 

16.01 

88.49 

16.40 

90 

91 

89.82 

i4.63 

89.75 

l5.02 

89.69 

i5.4i 

89.62 

i5.8o 

89.55 

16.19 

89.48 

i6.58 

91 

92 

90.80 

14.79 

90.74 

i5.i8 

90.67 

i5.58 

90.60 

15.98 

90.53 

16.37 

90.46 

16.77 

92 

93 

91.79 

14.95 

91.72 

i5.35 

91.66 

15.75 

91.59 

16. i5 

91.52 

16.55 

91.44 

16.95 

93 

94 

92.78 

i5.li 

92.71 

i5.5i 

92.64 

15.92 

92.57 

16.32 

92.50 

ib.73 

92.43 

17.13 

94 

95 

93.76 

15.27 

93.70 

i5.68 

93.63 

16.09 

93.56 

i6.5ol 

93.48 

16.90 

93.41 

17.31 

95 

96 

94.75 

i5.43 

94.68 

i5.84 

94.61 

16.26 

94.54 

16.67 

94.47 

17.08 

94.39 

17.49 

96 

97 

95.74 

15.59 

95.67 

16.01 

95.60 

16.43 

95.53 

i6.84| 

95.45 

17.26 

95.38 

17.68 

97 

98 

96.73 

15.75 

96.66 

16.17 

96.58 

16.60 

96.51 

17.02 

96.44 

17-44 

96.36 

17.86 

98 

99 

97.71 

15.91 

97.64 

16.34 

97.57 

16.77 

97. 5o 

17.19 

97.42 

17.62 

97.34 

18. o4 

99 

100 

98.70 

16.07 

98.63 

i6.5o 

98.56 

16.93 

98.48 

17.36 

98.40 

17.79 

98.33| 

18.22 

100 

0 

a 
a 

a 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat 

Dep. 

Lat. 

Dep.       Lat. 

Dep.   1    Lat 

§ 

CO 

Q 

80%  Deg. 

80}4  Deg. 

80%  Deg. 

80  Deg. 

79%  Deg. 

79K  Deg. 

15C 

> 

Traverse    T 

ABLE. 

1 

10%  Deg. 

11  Deg. 

IIM  Deg. 

UK  Deg. 

11%  Deg. 

12  Deg. 

0 

u' 

a 

Lat 

Dep. 
0,19 

Lat. 

Dep. 
0.19 

Lat. 

Dep. 
0.20 

Lat. 

Dep. 

Lat. 

Dep. 
0.20 

Lat. 

Dep. 

I 

0.98 

0.98 

0.98 

0.98 

0.20 

0.98 

0.98 

0,21 

I 

2 

1.96 

0.37 

1.96 

0.38 

1.96 

0.39 

1.96 

o.4o 

1,96 

0.4 1 

1.96 

0.42 

2 

3 

2.95 

0.56 

2.94 

0.57 

2.94 

0.59 

2.94 

0.60 

2.94 

0.61 

2.93 

0.62 

3 

4 

3.93 

0.75 

3.93 

0.76 

3.92 

0.78 

3.92 

0,80 

3.92 

0.82 

3.91 

0.83 

4 

5 

4.91 

0.93 

4.91 

0.95 

4.90 

0.98 

4.90 

1. 00 

4.90 

1.02 

4.89 

i.o4 

5 

6 

5.89 

1. 12 

5.89 

i.i4 

5.88 

1.17 

5.88 

1.20 

5,87 

1.22 

5.87 

1.25 

6 

7 

6.88 

i.3i 

6.87 

1.34 

6.87 

1.37 

6.86 

i.4o 

6.85 

1.43 

6.85 

1.46 

7 

8 

7.86 

1.49 

7.85 

1.53 

7.85 

1.56 

7.84 

1.59 

7.83 

1.63 

7.83 

1.66 

8 

9 

8.84 

1.68 

8.83 

1.72 

8.83 

1.76 

8.82 

1.79 

8.81 

1.83 

8.80 

1.87 

9 

lO 

9.82 

1.87 

9.82 

1. 91 

9.81 

1.95 

9.80 

1.99 

9-79 

2.o4 

9.78 

2.08 

10 

II 

io.8i 

2.o5 

10.80 

2.10 

10.79 

2.l5 

10.78 

2.19 

10.77 

2.24 

10.76 

2.29 

11 

12 

11.79 

2.24 

11.78 

2.29 

11.77 

2.34 

11.76 

2.39 

1 1.75 

2.44 

11.74 

2.49 

12 

i3 

12.77 

2.42 

12.76 

2.48 

12.75 

2.54 

12.74 

2.59 

12.73 

2.65 

12.72 

2.70 

i3 

i4 

i3.7o 

2.61 

13.74 

2.67 

13.73 

2.73 

13.72 

2.79 

13.71 

2.85 

13.69 

2.91 

i4 

i5 

14.74 

2,80 

14.72 

2.86 

14.71 

2.93 

14.70 

2.99 

14.69 

3.06 

14.67 

3.12 

i5 

i6 

15.72 

2.98 

15.71 

3.o5 

15.69 

3.12 

1 5.68 

3.19 

i5.66 

3.26 

i5.65 

3.33 

16 

I? 

16.70 

3.17 

16.69 

3.24 

16.67 

3.32 

16.66 

3.39 

16.64 

3.46 

i6.63 

3.53 

17 

i8 

17.68 

3.36 

17.67 

3.43 

17.65 

3.5i 

17.64 

3.59 

17.62 

3.66 

17.61 

3.74 

18 

'9 

18.67 

3.54 

i8.65 

3.63 

18.63 

3.71 

18.62 

3.79 

18.60 

3.87 

18.58 

3.95 

19 

20 

19.65 

3.73 

19.63 

3.82 

19.62 

3.90 

19.60 

3.99 

19.58 

4.07 

19,56 

4.16 

20 

21 

20.63 

3.92 

20.61 

4.01 

20.60 

4.10 

20.58 

4.19 

20.56 

4.28 

20.54 

4.37 

21 

22 

21.61 

4.10 

21.60 

4.20 

21.58 

4.29 

21.56 

4.39 

21.54 

4.48 

21.52 

4.57 

22 

23 

22.60 

4.29 

22.58 

4.39 

22.56 

4.49 

22.54 

4.59 

22.52 

4.68 

22. 5o 

4.78 

23 

24 

23.58 

4.48 

23.56 

4.58 

23.54 

4.68 

23.52 

4.78 

23. 5o 

4.89 

2  3.48 

4.99 

24 

25 

24.56 

4.66 

24.54 

4.77 

24-52 

4.88 

24. 5o 

4.98 

24.48 

5.09 

24.45 

5.20 

25 

26 

25.54 

4.85 

25.52 

4.96 

25. 5o 

5.07 

25.48 

5.18 

25.46 

5.3o 

25.43 

5.4i 

26 

27 

26.53 

5.04 

26.50 

5.i5 

26.48 

5.27 

26.46 

5.38 

26.43 

5.5o 

26.41 

5.61 

27 

28 

27.51 

5.22 

27.49 

5.34 

27.46 

5.46 

27.44 

5.58 

27.41 

5.70 

27.39 

5.82 

28 

29 

28,49 

5.4i 

28.47 

5.53 

28.44 

5.66 

28.42 

5.78 

28.39 

5.91 

28.37 

6.o3 

29 

3o 

29.47 

5.60 

29.45 

5.72 

29.42 

5.85 

29.40 

5.98 

29.37 

6.11 

29.34 

6.24 

3o 

3i 

3o.46 

5.78 

3o.43 

5.92 

3o.4o 

6.o5 

30.38 

6.18 

30.35 

6.3i 

3o.32 

6.45 

3i 

32 

31.44 

5.97 

3i.4i 

6.11 

31.39 

6.24 

3i.36 

6.38 

3i.33 

6.52 

3i.3o 

6.65 

32 

33 

32.42 

6.16 

32.39 

6.3o 

32.37 

6.44 

32.34 

6.58 

32.3i 

6.72 

32.28 

6.86 

33 

34 

33.40 

6.34 

33.38 

6.49 

33.35 

6.63 

33.32 

6.78 

33.29 

6.92 

33.26 

7.07 

34 

35 

34.39 

6.53 

34.36 

6.68 

34.33 

6.83 

34.3o 

6.98 

34.27 

7.13 

34.24 

7.28 

35 

36 

35.37 

6.71 

35.34 

6.87 

35. 3i 

7.02 

35.28 

7.18 

35.25 

7.33 

35.21 

7.48 

36 

37 

36.35 

6.90 

36.32 

7.06 

36.29 

7.22 

36.26 

7.38 

36.22 

7.53 

36.19 

7.69 

37 

38 

37.33 

7.09 

37.30 

7.25 

37.27 

7.41 

37.24 

7.58 

37.20 

7-74 

37.17 

7.90 

38 

39 

38.32 

7.27 

38.28 

7-44 

38.25 

7.61 

38.22 

7.78 

38.18 

7.94 

38. i5 

8.11 

39 

4o 

39.30 

7.46 

39.27 

7.63 

39.23 

7.80 

39.20 

7.97 

39.16 

8.i5 

39.13 

8.32 

4o 

4i 

40.28 

7.65 

4o.25 

7.82 

4o.2I 

8.00 

4o.i8 

8.17 

4o.i4 

8.35 

4o.io 

8.52 

4i 

42 

41.26 

7.83 

4l.23 

8.01 

41.19 

8.19 

41.16 

8.37 

41.12 

8.55 

41.08 

8.73 

42 

43 

42.25 

8.02 

42.21 

8.20 

42.17 

8.39 

42.14 

8.57 

42.10 

8.76 

42.06 

8.94 

43 

44 

43.23 

8.21 

43.19 

8.4o 

43. i5 

8.58 

43.12 

8.77 

43.08 

8.96 

43.04 

9.15 

44 

45 

44.21 

8.39 

44.17 

8.59 

44.14 

8.78 

44.10 

8.97 

44.06 

9,16 

44.02 

9.36 

45 

46 

45.19 

8.58 

45.i5 

8.78 

45.12 

8.97 

45.08 

9.17 

45.04 

9.37 

44.99 

9.56 

46 

47 

46.18 

8.77 

46.14 

8.97 

46.10 

9.17 

46.06 

9.37 

46.02 

9.57 

45.97 

9-77 

47 

48 

47.16 

8.95 

47.12 

9.16 

47.08 

9.36 

47.04 

9.57 

46.99 

9.78 

46.95 

9.98 

48 

49 

48.14 

9-14 

48. 10 

9.35 

48.06 

9.56 

48.02 

9-77 

47-97 

9.98 

47-93 

10.19 

49 

5o 

49.12 

9.33 

49.08 

9-54 

Lat 

49.04 

9.75 

49.00 

9-97 

48.95 

10.18 

48.91 

10.40 

5o 

1" 

Q 

Dep. 

Lat. 

Dep. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

8 

1 

0 

79%  Deg. 

79  Deg. 

785^  Deg. 

78K  Deg. 

78% 

Deg. 

78  1 

)eg. 

T 

RAV 

ERSE    Table. 

151 

5 

m 

a 

10%  Beg. 

11  Deg. 

11%  Deg, 

11)^  Deg. 

11%  Deg. 

12  Deg. 

3 

Lat. 

Dep. 

9.5i 

Lat. 

Dep. 
9.73 

Lat.    {   Dep.    | 

Lat. 

Dep. 

lAt. 
49.93 

Dep. 
10.39 

I.at.    1   Dep. 

5i 

5o.IO 

5o.o6 

5o.o2 

9.95 

49.98 

10.17 

49.89 

10.60 

5i 

52 

51.09 

9.70 

5i.o4 

9.92 

5 1, 00 

10.14 

50.96 

10.37 

50.91 

10.59 

5o.86 

10.81 

52 

53 

52.07 

9.89; 

52.o3 

10. II 

51.98 

10.34 

51.94 

10.57 

51.89 

10.79 

5i.84 

1 1.02 

53 

54 

53.05 

io.o7| 

53.01 

10. 3o 

52.96 

10.53 

52.92 

10.77 

52.87 

11.00 

52.82 

11.23 

54 

55 

54.08 

10.26 

53.99 

10.49 

53,94 

10.73 

53.90 

10.97 

53.85 

11.20 

53.80 

11.44 

55 

56 

55.02 

10.45 

54.97 

10.69 

54.92 

10.93 

54.88 

II. 16 

54.83 

ii.4o 

54.78 

11.64 

66 

5? 

56. 00 

10.63, 

55.95 

to.88 

55.90 

II. 12 

55.86 

11.36 

55.81 

II. 61 

55.75 

11.85 

57 

58 

56.98 

I0.82' 

56.93 

11.07 

56.89 

11.32 

56.84 

11.56 

56.78 

II.81 

66.73 

12.06 

68 

59 

57.96 

11.00 

57.92 

11.26 

57.87 

ii.5i 

57.82 

1 1. 761 

57.76 

12.01 

67.7; 

12.27 

59 

6o 

58.95 

II. 19 

58.90 

ti.45 

58.85 

II. 71 

58.8o 

11.96 

58,74 

12.22 

68.69 

12.47 

60 

6i 

59.93 

11.38 

59.88 

11.64 

59.83 

1 1.90 

59.78 

12.16 

59.72 

12.42 

69.67 

12.68 

61 

62 

60.91 

11.56 

60.86 

11.83 

60.81 

12.10 

60.76 

12.36 

60.70 

12.63 

6o.65 

12.89 

62 

63 

61.89 

11.75; 

61.84 

12.03 

61.79 

12.29 

61.74 

12.56 

61.68 

12.83 

61.62 

i3.io 

63 

64 

62.88 

11.94; 

62.82 

12.21 

62.77 

12.49 

62.72 

12.76 

62.66 

i3.o3 

62.60 

i3.3i 

64 

65 

63.86 

12.12' 

63.8i 

12.40 

1 

63.75 

12.68 

63.70 

12,96 

63.64 

i3.24 

63.68 

i3.5i 

65 

66 

64.84 

12. 3i 

64.79 

1 
12.59 

64.73 

12.88 

64.68 

i3.i6 

64.62 

1 3.44 

64.66 

13.72 

66 

67 

65.82 

12. 5o 

65.77 

12.78 

65.71 

13.07 

65.66 

i3.36 

65.6o 

i3.64 

65.64 

13.93 

67 

68 

66. 8i 

12.68 

66.75 

12,98! 

66.69 

13.27 

66.63 

13.56 

66.58 

i3.85 

66.5i 

i4.i4 

68 

69 

67.79 

12.87 

67.73 

i3.i7i 

67.67 

i3.46 

67.61 

13.76 

67.55 

i4.o5 

67.49 

14.35 

69 

70 

68.77 

1 3.06 

1 

68.71 

i3,36 

68.66 

13.66 

68.59 

13.96 

68,53 

14.25 

68.47 

14.66 

70 

71 

69.75 

l3.24 

69.70 

i3.55 

69.64 

i3.85 

69.57 

14.16 

69.51 

14.46 

69.46 

14.76 

71 

72 

70.74 

i3.43 

70.68 

13.74 

70.62 

i4.o5 

70.55 

i4.35 

70.49 

14.66 

70.43 

14.97 

72 

73 

71.72 

i3.62 

71.66 

13.93 

71.60 

14.24 

71.53 

14.55 

71.47 

14.87 

71.40 

16.18 

73 

74 

72.70 

i3.8o 

72.64 

l4.I2 

72.58 

14.44 

72. 5i 

14.75 

7'2.45 

16.07 

72.38 

16.39 

74 

75 

73.68 

13.99 

73.62 

i4.3i 

73.56 

i4.63 

73.49 

14.95 

73.43 

15.27 

73.36 

16.69 

75 

76 

74.67 

14.18 

74.60 

i4.5o 

74.54 

i4.83 

74.47 

i5.i5 

74.41 

i5.48 

74.34 

16.80 

76 

77 

75.65 

i4.36 

75.59 

14.69 

75.52 

l5.02 

75.45 

i5.35 

75.39 

i5.68 

76.32 

16.01 

77 

78 

76.63 

14.55 

76.57 

14.88 

76.50 

l5.22 

76.43 

i5.55 

76.37 

i5.88 

76.30 

16.22 

78 

79 

77.61 

14.74 

77.55 

15.07 

77.48 

i5.4i 

77.41 

15.75 

77.34 

16.09 

77.27 

16.43 

79 

80 

78.60 

14.92   78.53 

15.26 

78.46 

i5.6i 

78.39 

15.95 

78.32 

16.29 

78.26 

i6.63 

80 

81 

79.58 

i5.n 

79. 5i 

i5.46 

79-44 

i5.8o 

79.37 

i6.i5 

79.30 

16.49 

79.23 

16.84 

81 

82 

80. 56 

15.29  80.49 

i5.65 

80.42 

16.00 

80.35 

16.35 

80.28 

16.70 

80.21 

17.06 

82 

83 

8r.54 

i5.48  81.48 

i5.84 

81.41 

16.19 

81.33 

16.55 

81.26 

16.90 

81.19 

17.26 

83 

84 

82.53 

15.67  82.46 

16. o3 

82.39 

16.39 

82.31 

16.75 

82.24 

17. II 

82.16 

17.46 

84 

85 

83.5i 

i5.85  83.44 

1 

16.22 

83.37 

16.58 

83.29 

16.95 

83.22 

17.31 

83.14 

17.67 

85 

86 

84.49 

16. o4  84.42 

16.41 

84.35 

16.78 

84.27 

17-15 

84.20 

17.51 

84.12 

17.88 

86 

87 

85.47 

16.23  85. 4o 

16.60 

85.33 

16.97 

85.25 

17.35 

'85. 18 

17.72 

85. 10 

18.09 

87 

88 

86.46 

16.41   86.38 

16.79 

86. 3i 

17.17 

86.23 

17.54 

86.16 

17.92 

86.08 

18. 3o 

88 

89 

87.44 

16.60  87.36 

16.98 

87.29 

17.36 

87.21 

17.74 

:87.i4 

18.12 

87.06 

18. 5o 

89 

90 

88.42 

16.79  88.35 

17.17 

88,27 

17.56 

88.19 

17.94 

88.11 

18.33 

88.o3 

18.71 

90 

91 

89.40 

16.97  89.33 

17.36 

89.25 

17.75 

89.17 

18.14 

89.09 

18.53 

89.01 

18.92 

9' 

92 
93 
94 
95 

90.39 

17.16  90.31 

17.55 

90.23 

17.95 

90.15 

18.34  90.07 

18.74 

89.99 

19.13 

92 

0 

91.37 

17.35  91.29 

17.75 

91.21 

18. i4 

91. i3 

18.54  91.05 

18.94 

90.97 

19.34 

93 

92.35 

17.53    q2.27 

17.94 

92.19 

18.34 

92.1 1 

18.74  192.03 

19.14 

91.96 

19.54 

96 

93.33 

17.72 

93,25 

18. i3 

93.17 

18.53 

93.09 

18.94 

93.01 

19.35 

92.92 

19.76 

96 

97 
98 

99 

100 

94.32 

17.91 

'94.24 

18.32 

94.16 

18.73 

94.07 

19.14 

93.99 

19.55 

93.90 

19.96 

96 

95.30 
96.28 
97.26 

18.09 
18.28 

95.22 
96.20 
97.18 

i8.5i 

95.14 

18.92 

95.05 

19.34 

94.97 

19.75 

94.88 

20.17 

97 

18.70 

96.12 

19.12 

96.03 

19.54 

95.95 

19.96 

96.86 

20.38 

c  0 

98 

18.47 

18.89 

97.10 

19.31 

97.01 

19.74 

96.93 

20.16 

96.84 
97.81 

20. 58 

99 

98.25 

i8.65 

98.16 

19.08 

98.08 

1 19.51 

97-99 
Dep. 

19.94 

97.90 

20.36 

20.79 

100 

e 

1 

c 

Q 

0 

5 

Dep. 

Lat. 

Dep. 

Ut. 

Dep. 

1    Lat. 

Lat. 

Dep. 

\sA. 

Dep. 

Lat 

79%  Deg. 

79  Deg. 

78%  Deg. 

78K  Deg. 

78%  Deg. 

78  Deg. 

152 


Traverse    Table. 


5 
S 

o 
a 

I 

13M  Deg. 

123^  Deg. 

12%  Deg. 

13  Deg. 

13%  Deg. 

13K  Deg. 

0 

Lat. 

Dep. 

ut. 

Dep. 

Lat. 

Dep. 

Lat.    1    Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

0.98 

0.21 

0.98 

0.22 

0.98 

0.22 

0.97 

0.23 

0.97 

0.23 

0.97 

0.23 

I 

2 

1.95 

0.42 

1.95 

0.43 

1.95 

0.44 

1.95 

0.45 

1.95 

0.46 

1.95 

0.47 

2 

3 

2.93 

0.64 

2.93 

0.65 

2.93 

0.66 

2.92 

0.67 

2.92 

0.69 

2.92 

0.70 

3 

4 

3.91 

0.85 

3.91 

0.87 

3.90 

0.88 

3.90 

0.90 

3.89 

0.92 

3.89 

0.93 

4 

5 

4.89 

1.06 

4.88 

1.08 

4.88 

1. 10 

4.87 

1. 12 

4.87 

i.i5 

4.86 

1. 17 

5 

6 

5.86 

1.27 

5.86 

i.3o 

5.85 

1.32 

5.85 

1.35 

5.84 

1.38 

5.83 

i.4o 

6 

7 

6.84 

1.49 

6.83 

1.52 

6.83 

1.54 

6.82 

1.57 

6.81 

1.60 

6.81 

1.63 

7 

8 

7.82 

1.70 

7.81 

1.73 

7.80 

1.77 

7.80 

1.80 

7-79 

1.83 

7.78 

1.87 

8 

9 

8.80 

1.91 

8.79 

1.95 

8.78 

1.99 

8.77 

2.02 

8.76 

2.06 

8.75 

2.10 

9 

lO 

9-77 

2.12 

9.76 

2.16 

9.75 

2.21 

9-74 

2.25 

9.73 

2.29 

9.72 

2.33 

10 

II 

10.75 

2.33 

10.74 

2.38 

10.73 

2.43 

10.72 

2.47 

10.71 

2.52 

10.70 

2.57 

II 

12 

11.73 

2.55 

11.72 

2.60 

11.70 

2.65 

11.69 

2.70 

11.68 

2.75 

11.67 

2.80 

12 

i3 

12.70 

2.76 

12.69 

2.81 

12.68 

2.87 

12.67 

2.92 

12.65 

2.98 

12.64 

3.o3 

i3 

i4 

i3.68 

2.97 

13.67 

3.o3 

i3.65 

3.09 

i3.64 

3.i5 

i3.63 

3.21 

i3.6i 

3.27 

i4 

i5 

14.66 

3.i8 

i4.64 

3.25 

i4.63 

3.3i 

14.62 

3.37 

i4.6o 

3.44 

14.59 

3.5o 

i5 

i6 

i5.64 

3.39 

15.62 

3.46 

i5.6i 

3.53 

15.59 

3.60 

15.57 

3.67 

i5.56 

3.74 

16 

17 

i6.6i 

3.61 

16.60 

3.68 

16. 58 

3.75 

16.57 

3.82 

16.55 

3.90 

16.53 

3.97 

17 

18 

17.59 

3.82 

17.57 

3.90 

17.56 

3.97 

17.54 

4.o5 

17.52 

4.i3 

17.50 

4.20 

18 

19 

18.57 

4.o3 

18.55 

4. II 

18.53 

4.19 

18. 5i 

4.27 

18.49 

4.35 

18.48 

4.44 

19 

20 

19-54 

4.24 

19.53 

4.33 

19.51 

4.4i 

19.49 

4.5o 

19.47 

4.58 

19.45 

4.67 

20 

21 

20.52 

4.46 

20. 5o 

4.55 

20.48 

4.63 

20. 46 

4.72 

20.44 

4.81 

20.42 

4.90 

21 

22 

21. 5o 

4.67 

21.48 

4.76 

21.46 

4.86 

2  1.44 

4.95 

21.41 

5.o4 

21.39 

5.14 

22 

23 

22.48 

4.88 

22.45 

4.98 

22.43 

5.08 

22.4l 

5.17 

22.39 

5.27 

22.36 

5.37 

23 

24 

23.45 

5.09 

23.43 

5.19 

23.4l 

5.3o 

23.38 

5.4o 

23.36 

5.5o 

23.34 

5.60 

24 

25 

24.43 

5.3o 

24.41 

5.4i 

24.38 

5.52 

24.36 

5.62 

24.33 

5.73 

24.3l 

5.84 

25 

26 

25.41 

5.52 

25.38 

5.63 

25.36 

5.74 

25.33 

5.85 

25.3i 

5.96 

25.28 

6.07 

26 

27 

26.39 

5.73 

26.36 

5.84 

26.33 

5.96 

26.31 

6.07 

26.28 

6.19 

26.25 

6.3o 

27 

28 

27.36 

5.94 

27.34 

6.06 

27.31 

6.18 

27.28 

6.3o 

27.25 

6.42 

27.23 

6.54 

28 

29 

28.34 

6.i5 

28.31 

6.28 

28.28 

6.4o 

28.26 

6.52 

28.23 

6.65 

28.20 

6.77 

29 

3o 

29.32 

6.37 

29.29 

6.49 

29.26 

6.62 

29.23 

6.75 

29.20 

6.88 

29.17 

7.00 

3o 

3i 

30.29 

6.58 

30.27 

6.71 

30.24 

6.84 

3o.2i 

6.97 

30.17 

7.11 

3o.i4 

7.24 

3i 

32 

31.27 

6.79 

3 1. 24 

6.93 

3l.21 

7.06 

3i.i8 

7.20 

3i.i5 

7.33 

3l.l2 

7.47 

32 

33 

32.25 

7.00 

32.22 

7.14 

32.19 

7.28 

32. i5 

7.42 

32.12 

7.56 

32.09 

7.70 

33 

34 

33.23 

7.21 

33.19 

7.36 

33.16 

7.5o 

33.13 

7.65 

33.09 

7.79 

33.06 

7.94 

34 

35 

34.20 

7.43 

34.17 

7.58 

34.14 

7.72 

34.10 

787 

34.07 

8.02 

34.o3 

8.17 

35 

36 

35.18 

7.64 

35. i5 

7-79 

35.11 

7.95 

35.08 

8.10 

35.04 

8.25 

35.01 

8.4o 

36 

37 

36.16 

7.85 

36.12 

8.01 

36.09 

8.17 

36.o5 

8.32 

36. 02 

8.48 

35.98 

8.64 

37 

38 

37.13 

8.06 

37.10 

8.22 

37.06 

8.39 

37.03 

8.55 

36.99 

8.71 

36.95 

8.87 

38 

39 

38.11 

8.27 

38.o8 

8.44 

38.o4 

8.61 

38.00 

8.77 

37.96 

8.94 

37.92 

9.10 

39 

4o 

39.09 

8.49 

39.05 

8.66 

39.01 

8.83 

38.97 

9.00 

38.94 

9.17 

38.89 

9.34 

4o 

4i 

40.07 

8.70 

4o.o3 

8.87 

39.99 

9.05 

39.95 

9.22 

39.91 

9.40 

39.87 

9.57 

4i 

42 

4i.o4 

8.91 

4 1. 00 

9.09 

40.96 

9.27 

40.92 

9.45 

40.88 

9.63 

4o.84 

9.80 

42 

43 

42.02 

9.12 

41.98 

9.3i 

41.94 

9.49 

41.90 

9.67 

41.86 

9.86 

41.81 

10. o4 

43 

44 

43.00 

9.34 

42.96 

9.52 

42.92 

9.71 

42.87 

9.90 

42.83 

10.08 

42.78 

10.27 

44 

45 

43.98 

9.55 

43.93 

9-74 

43.89 

9.93 

43.85 

10.12 

43.80 

io.3i 

43.76 

10. 5i 

45 

46 

44.95 

9.76 

44.91 

9.96 

44.87 

10. i5 

44.82 

10.35 

44.78 

10.54 

44.73 

10.74 

46 

47 

45.93 

9-97 

45.89 

10.17 

45.84 

10.37 

45.80 

10.57 

45.75 

10.77 

45.70 

10.97 

47 

48 

46.91 

10.18 

46.86 

10.39 

46.82 

10.59 

46.77 

10.80 

46.72 

11.00 

46.67 

II. 21 

48 

49 

47.88 

10.40 

47.8^ 

10.61 

47.79 

io.8i 

47.74 

11.02 

47.70 

11.23 

47.65 

11.44 

49 

5o 

48.86 

10.61 

48.81 

10.82 

48.77 

ii.o3 
1    Lat. 

48.72 

11.25 

48.67 

11.46 

48.62 

1 1.67 

5o 

1 

0 

1 
a 

Dep. 

Lat. 

Dep. 

Lat. 

1     Dep. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

77%  Deg. 

77K  Deg. 

77%  Deg. 

77  Deg. 

76%  Deg. 

761^  Deg. 

T  R  A  V  E  K  s  E    Table. 


153 


1 

8 

n%  Deg. 

12%  Deg. 

12X  Deg. 

13  Deg. 

13%  Deg. 

131^  Deg. 

g 

B 

8 
5i 

Lat. 

Uep. 

Lat. 

Dep. 

Lat. 
49.74 

Dep. 

I.at. 

Dep. 

U.47 

Lat. 

Dep. 

Lat 

Dep. 

5i 

49.B4 

10.82 

49.79 

11.041 

11.26 

49.69 

49.64 

U.69 

49.59 

11.91 

52 

50.82 

11. o3 

50.77 

11.25 

50.72 

11.48 

50.67 

1 1.70 

50.62 

11.92 

5o.56 

12.14 

52 

53 

51.79 

11.25 

51.74 

11.47 

51.69 

11.70 

5 1.64 

11.92 

51.59 

12. l5 

5i.54 

12.37 

53 

54 

52.77 

11.46 

52.72 

I  1.69 

52.67 

11.92 

52.62 

12. l5 

52.56 

12.38 

52.5i 

12.61 

54 

55 

53.75 

11.67 

53.70 

11.90 

53.64 

12. i4 

53.59 

12.37 

53.54 

12.61 

53.48 

12.84 

55 

56 

54.72 

11.88 

54.67 

12.12 

54.62 

12.36 

54.56 

12.60 

54.5i 

12.84 

54.45 

13.07 

56 

57 

55.70 

12.09 

55.65 

12.34 

55.59 

12.58 

55.54 

12.82 

55.48 

i3.o6 

55.43 

i3.3i 

57 

58 

56.68 

I2.3l 

56.63 

12.55 

56.57 

12.80 

56. 5i 

i3.o5 

56.46 

13.29 

56.4o 

13.54 

58 

59 

57.66 

12.52 

57.60 

12.77 

57.55 

l3.02 

57.49 

13.27 

57.43 

i3.52 

57.37 

13.77 

5y 

6o 

58.63 

12.73 

58.58 

12.99 

58.52 

l3.24 

58.46 

i3.5o 

58.4o 

13.75 

58.34 

14.01 

60 

6i 

59.61 

12.94: 

59.55 

l3.20 

59.50 

13.46 

59.44 

1 3.72 

59.38 

13.98 

59.31 

14.24 

61 

62 

60.59 

i3.i6 

60.53 

13.42 

60.47 

i3.68 

60. 4i 

13.95 

60.35 

14.21 

60.29 

14.47 

62 

63 

61.57 

13.37 

61. 5i 

i3.64 

61.45 

13.90 

61.39 

14.17 

61.32 

14.44 

61.26 

14.71 

63 

64 

62.54 

i3.58 

62.48 

i3.85 

62.42 

14.12 

62.36 

i4.4o 

62.30 

14.67 

62.23 

14.94 

64 

65 

63.52 

13.79 

63.46 

14.07 

63.4o 

14.35 

63.33 

14.62 

63.27 

14.90 

63.20 

15.17 

65 

66 

64.5o 

14.00 

64.44 

14.29 

64.37 

14.57 

64.3i 

i4.85 

64.24 

i5.i3 

64.18 

i5.4i 

66 

67 

65.47 

14.22 

65.4i 

i4.5o 

65.35 

14.79 

65.28 

15.07 

65.22 

i5.36 

65.15 

i5.64 

67 

68 

66.45 

14.43 

66.39 

14.72 

66.32 

i5.oi 

66.26 

i5.3o 

66.19 

15.59 

66.12 

15.87 

68 

69 

67.43 

14.64 

67.36 

14.93 

67.30 

i5.23 

67.23 

i5.52 

67.16 

i5.8i 

67.09 

16.11 

69 

70 

68.41 

i4.85 

68.34 

i5.i5 

68.27 

i5.45 

68.21 

15.75 

68.14 

16.04 

68.07 

16.34 

70 

71 

6938 

i5.o6 

69.32 

15.37 

69.25 

15.67 

69.18 

15.97 

69.11 

16.27 

69.04 

16.57 

71 

72 

70.36 

15.28 

70.29 

i5.58 

70.22 

15.89 

70.15 

16.20 

70.08 

i6.5o 

70.01 

16.81 

72 

73 

71.34 

i5.49 

71.27 

i5.8o 

71.20 

16.11 

71.13 

16.42 

71.06 

16.73 

70. 9& 

17.04 

73 

74 

72.32 

15.70 

72.25 

16.02 

72.18 

16.33 

72.10 

i6.65 

72.03 

16.96 

71.96 

17.28 

74 

75 

73.29 

15.91 

73.22 

16.23 

73.15 

16.55 

73.08 

16.87 

73.00 

17.19 

72.93 

17.50 

75 

76 

74.27 

16. i3 

74.20 

16.45 

74.13 

16.77 

74. o5 

17.10 

73.98 

17.42 

73.90 

17.74 

76 

77 

75.25 

16.34 

75.17 

16.67 

75.10 

16.99 

75.03 

17.32 

74.95 

17.65 

74.87 

17.98 

77 

78 

76.22 

16.55 

76.15 

16.88 

76.08 

17.21 

76.00 

17.55 

75.92 

17.88 

75.84 

18.21 

78 

79 

77.20 

16.76 

77. i3 

17.10 

77.05 

17.44 

76.98 

17.77 

76.90 

18.11 

76.82 

18.44 

79 

80 

78.18 

16.97 

78.10 

17.32 

78.03 

17.66 

77.95 

18.00 

77.87 

18.34 

77-79 

18.68 

80 

81 

79.16 

i 

17. 19; 

79.08 

17.53 

79.00 

17.88 

78.92 

18.22 

78.84 

18,57 

78.76 

18.91 

81 

82 

80. i3 

17.40 

80.06 

17.75 

79.98 

18.10 

79.90 

18.45 

79.82 

18.79 

79.73 

19.14 

82 

83 

81. II 

17  61 

8i.o3 

17.96 

80.95 

18.32 

80.87 

18.67 

80.79 

19.02 

80.71 

19.38 

83 

84 

82.09 

17.82 

82.01 

18.18 

S1.93 

18.54 

81.85 

18.90 

81.76 

19.25 

81.68 

19.61 

84 

85 

83.06 

18.04 

82.99 

18.40 

82.90 

18.76 

82.82 

19.12 

82.74 

19.48 

82.65 

19.84 

85 

86 

84.04 

18.25 

83.96 

18.61 

83.88 

18.98 

83.8o 

19.35 

83.71 

19.71 

83.62 

20.08 

86 

87 

85.02 

18.46 

84.94 

i8.83 

84.85 

19.20 

84.77 

19.57 

84.68 

19.94 

84.60 

20.3l 

87 

88 

86.00 

18.67 

85.91 
86.89 

19.05 

85.83 

19.42 

85.74 

19.80 

85.66 

20.17 

85.57 

20.54 

88 

89 

86.97 

18.88 

19.26 

86.81 

19.64 

86.72 

20.02 

86.63 

20.4o 

86.54 

20.78 

89 

90 

87.95 

19.10 

87.87 

19.48 

87.78 

19.86 

87.69 

20.25 

87.60 

20.63 

87.51 

21.01 

90 

91 

88.93 

19.31 

88.84 

19.70 

88.76 

20.08 

88.67 

20.47 

88.58 

20.86 

88.49 

21.24 

91 

92 

89.91 

19.52 

89.82 

19.91 

89.73 

20. 3o 

89.64 

20.70 

89.55 

21.09 

89.46 

21.48 

92 
93 

93 

90.88 

19.73 

90.80 

20. i3 

90.71 

20.52 

90.62 

20.92 

90.52 

21.32 

90.43 

21.71 

94 

91.86 

19.94 

91.77 

20.35 

91.68 

20.75 

91.59 

21. i5 

91.50 

21.54 

91.40 

21.94 

94 
95 

95 

92.84 

20.16 

92.75 

20. 56 

92.66 

20.97 

92.57 

21.37 

92.47 

21.77 

92.38 

22.18 

96 

97 
98 

99 
100 

« 

a 
3 

CO 

a 

93.81 

20.37 

93.72 

20.78 

93.63 

21.19 

93.54 

21.60 

93.44 

22.00 

93.35 

22.41 

96 

94.79 
95.77 

96.75 

20. 58 
20.79 
21.01 

7           / 

94.70 
95.68 
96.65 

20.99 
21.21 

'94.61 
95.58 

21.41 
21.63 

94.5i 
95.49 

21.82 
22. o5 

94.42 
95.39 

22.23 
22.46 

94.32 
95.29 

22.64 

22.88 

97 

98 

21.43 

96.56 

21.85 

96.46 

22.27 

96.36 

22.69 

96.26 

23.11 

00/ 

99 

97.72 

21.22 

97.63 

21.64 

97.53 

22.07 

97.44 

22. 5o 

97.34 
Dep. 

22.92 

Lat 

97.24 

23.34 

100 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

LaL 

Dep. 

Lat. 

Dep.   1    Lat 

ci 
u 

a 
3 

CO 

a 

77%  Deg. 

11%  Deg. 

77K  Deg. 

77  Deg. 

76%  Deg. 

16%  Deg. 

154 


T  K  A  V  K  u  s  E    Table. 


g 

to' 

s 

3 

a 

13%  Deg. 

14  Deg. 

1414  Deg. 

14K  Deg. 

14%  Deg. 

15  Deg. 

0 

m 

Lat. 

Dep. 

IM. 

0.97 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

I 

0.97 

0.24 

0.24 

0.97 

0.25 

0.97 

0.25 

0.97 

0.25 

0.97 

0.26 

I 

2 

1.94 

0.48 

1.94 

0.48 

1.94 

0.49 

1.94 

o.5o 

1.93 

o.5i 

1.93 

0.52 

2 

3 

2.91 

0.71 

2.91 

0.73 

2.91 

0.74 

2.90 

0.75 

2.90 

0.76 

2.90 

0.78 

3 

4 

3.89 

0.95 

3.88 

0.97 

3.88 

0.98 

3.87 

1. 00 

3.87 

1.02 

3.86 

i.o4 

4 

5 

4.86 

1. 19 

4.85 

1. 2  I 

4.85 

1.23 

4.84 

1.25 

4.84 

1.27 

4.83 

1.29 

5 

6 

5.83 

1.43 

5.82 

1.45 

5.82 

1.48 

5.81 

i.5o 

5.80 

1.53 

5.80 

1.55 

6 

7 

6.80 

1.66 

6.79 

1.69 

6.78 

1.72 

6.78 

1.75 

6.77 

1.78 

6.76 

1.81 

7 

8 

7-77 

1.90 

7.76 

1.94 

7.75 

1.97 

7.75 

2.00 

7-74 

2.o4 

7.73 

2.07 

8 

9 

8.74 

2.l4 

8.73 

2.18 

8.72 

2.22 

8.71 

2.25 

8.70 

2.29 

8.69 

2.33 

9 

lO 

9.71 

2.38 

9.70 

2.42 

9.69 

2.46 

9.68 

2.5o 

9.67 

2.55 

9.66 

2.59 

10 

II 

10.68 

2.61 

10.67 

2.66 

io.66 

2.71 

10. 65 

2.75 

10.64 

2.80 

10. 63 

2.85 

II 

12 

n.66 

2.85 

11.64 

2.90 

11.63 

2.95 

11.62 

3.00 

11.60 

3.06 

11.59 

3. II 

12 

i3 

12.63 

3.09 

12.61 

3.i5 

12.60 

3.20 

12.59 

3.25 

12.57 

3.3i 

12.56 

3.36 

i3 

i4 

i3.6o 

3.33 

i3.58 

3.39 

13.57 

3.45 

i3.55 

3.5i 

i3.54 

3.56 

i3.52 

3.62 

i4 

i5 

14.57 

3.57 

14.55 

3.63 

14.54 

3.69 

14.52 

3.76 

i4.5i 

3.82 

14.49 

3.88 

i5 

i6 

i5.54 

3.80 

i5.52 

3.87 

i5.5i 

3.94 

i5.49 

4.01 

i5.47 

4.07 

i5.45 

4.i4 

16 

'7 

16. 5i 

4.04 

16. 5o 

4.11 

i6.48 

4.18 

16.46 

4.26 

16.44 

4.33 

16.42 

4.4o 

17 

i8 

17-48 

4.28 

17.47 

4.35 

17.45 

4.43 

17.43 

4.5i 

17.41 

4.58 

17.39 

4.66 

18 

19 

18.46 

4.52 

18.44 

4.60 

18.42 

4.68 

18.39 

4.76 

18.37 

4.84 

18.35 

4.92 

»9 

20 

19.43 

4.75 

19.41 

4.84 

19.38 

4.92 

19.36 

5.01 

19.34 

5.09 

19.32 

5.18 

20 

21 

20. 4o 

4.99 

20.38 

5.08 

20.35 

5.17 

20.33 

5.26 

20. 3i 

5.35 

20.28 

5.44 

21 

22 

21.37 

5.23 

21.35 

5.32 

21.32 

5.42 

21. 3o 

5.5i 

21.28 

5.60 

21.25 

5.69 

22 

23 

22.34 

5.47 

22.32 

5.56 

22.29 

5.66 

22.27 

5.76 

22.24 

5.86 

22.22 

5.95 

23 

24 

23. 3i 

5.70 

23.29 

5.81 

23.26 

5.91 

23.24 

6.01 

23.21 

6.11 

23.18 

6.21 

24 

25 

24.28 

5.94 

24.26 

6.o5 

24.23 

6.i5 

24.20 

6.26 

24.18 

6.37 

24.15 

6.47 

25 

26 

25.25 

6.18 

25.23 

6.29 

25.20 

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25.14 

6.62 

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26 

27 

26.23 

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26.20 

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26.17 

6.65 

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6.76 

26.11 

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6.99 

27 

28 

27.20 

6.66 

27.17 

6.77 

27.14 

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27.11 

7.01 

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27.05 

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29 

28.17 

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28.14 

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28.11 

7.14 

28.08 

7.26 

28.04 

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29 

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29.14 

7.13 

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52.28 

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52.22 

13.75 

52.16 

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54 

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53.42 

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54.28 

13.78 

54.22 

14.02 

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11.08 

39 

4o 

38.59 

10.52 

38.55 

10.69 

38. 5o 

10.86 

38.45 

ii.o3 

38.4o 

II. 19 

38.35 

11.36 

40 

4i 

39.56 

10.78 

39.51 

10.96 

39.46 

II. i3 

39.41 

II. 3o 

39.36 

11.47 

39.31 

11.64 

4i 

42 

4o.52 

II. o5 

40.47 

11.22 

40.42 

11. 4o 

40.37 

11.58 

4o.32 

11.75 

40.27 

11,93 

42 

43 

41.49 

II. 3i 

41.44 

11.49 

41.39 

11.67 

41.33 

11.85 

41.28 

I2.o3 

41.23 

12.21 

43 

44 

42.45 

11.57 

42.4c 

11.76 

42.35 

11.94 

42.3c 

>  12. i3 

42. 2^ 

12. 3i 

42.19 

12. 5o 

44 

45 

43.42 

11.84 

43.36 

12. o3 

43. 3i 

12.21 

43. 2C 

)  12.40 

43.20 

12.59 

43.i5 

12.78 

45 

46 

44.3S 

12.10 

44.32 

12.29 

44.2: 

12.49 

44.22 

12.68 

44.16 

12.87 

44.11 

1 3.06 

46 

47 

45.35 

12.36 

45.2^ 

)  12.56 

45.24 

12.76 

45. le 

!  12.95 

45.12 

i3.i5 

45.06 

i3.35 

47 

48 

46.3i 

12.63 

46.2J 

)  12.83 

46.2c 

)  i3.o3 

46.1/ 

\  i3.23 

46.08 

1 3.43 

46.02 

i3.63 

48 

49 

47.2'i 

f  12.89 

47.22 

!    13.09 

47. if 

)  i3.3c 

47. If 

)  i3.5i 

47.04 

13.71 

46.9S 

13.92 

49 

5o 

u 

a 

3 
00 

48.2^ 

\  i3.i5 

48. It 

\  i3.3e 

48.12 

.  13.57 

48. o( 

J  13.78 

48.0C 

13.99 

47-9^ 

\    l4.2C 

5o 

■    1 

5 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1    Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

74%  Deg. 

74X  Deg. 

74%  Deg. 

74  Deg. 

73%  Deg. 

73K  Deg. 

Tkaverse   Table. 


157 


1 

15%  Deg.      151^  Deg. 

15%  Deg. 

16  Deg. 

16%  Deg. 

161^  Deg. 

— ) 
g 

55" 

sr 

D 

n 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 
49.09 

Dep. 

Lat.    1   Dep. 

Lat. 

Dep. 

Lat.       Dep. 

5i 

49.20 

l3.4l 

49.15 

13.63 

i3.84 

49.02 

14.06 

48.96 

14.27 

48.90 

14.48 

5i 

52 

50.17 

i3.68 

5o.ii 

13.90 

5o.o5 

i4.li 

49.99 

14.33 

49.92 

14.55 

49.86 

14.77 

52 

53 

5i.i3 

13.94 

51.07 

14.16 

5i.oi 

14.39 

50.95 

14.61 

5o.88 

i4.83 

50.82 

i5.o5 

53 

54 

52.10 

l4.20 

52. o4 

14.43 

51.97 

14.66 

51.91 

14.88 

5 1.84 

i5.ii 

51.78 

i5.34 

54 

55 

53.06 

14.47 

53.00 

14.70 

52.94 

14.93 

52.87 

i5.i6 

52.80 

15.39 

52.74 

15.62 

55 

56 

54.o3 

14.73 

53.96 

i4.97 

53.90 

l5.20 

53.83 

i5.44 

53.76 

15.67 

53.69 

i5.9o 

56 

5? 

54.99 

14.99 

54.93 

i5.23 

54.86 

i5.47 

54.79 

15.71 

54.72 

15.95 

54.65 

'  7 

16.19 

57 

58 

55.96 

15.26 

55.89 

i5.5o 

55.82 

15.74 

55.75 

15.99 

55.68 

16.23 

55.61 

16.47 

58 

59 

56.92 

i5.52 

56.85 

15.77 

56.78 

16.01 

56.71 

16.26 

56.64 

i6.5i 

56.57 

16.76 

59 
60 

6o 

57.89 

15.78 

57.82 

i6.o3 

57.75 

16.29 

57.68 

16.54 

57.60 

16.79 

57.53 

17.04 

6i 

58.85 

16. o4 

58.78 

16. 3o 

58.71 

i6.56 

58.64 

16.81 

58.56 

17.07 

58.49 

17.32 

61 

62 

59.82 

i6.3i 

59.75 

16.57 

59.67 

i6.83 

59.60 

17.09 

59.52 

17.35 

59.45 

17.61 

62 

63 

60.78 

16.57 

60.71 

16.84 

6o.63 

17.10 

6o.56 

17.37 

60.48 

17.63 

60. 4i 

17.89 

63 

64 

61.75 

i6.83 

61.67 

17.10J 

61.60 

17.37 

61.52 

17.64 

61.44 

17.91 

61.36 

18.18 

64 

65 

62.71 

17.10 

62.64 

17.37 

62.56 

17.64 

62.48 

17.92 

62.40 

18.19 

62.32 

18.46 

65 

66 

63.68 

17.36 

63.6o 

17.64 

63.52 

17.92 

63.44 

18.19 

63.36 

18.47 

63.28 

18.74 

66 

67 

64.64 

17  62 

64.56 

17.90 

64.48 

18.19 

64.4o 

18.47 

64.32 

18.75 

64.24 

19.03 

67 

68 

65.6i 

17.89 

65.53 

18.17 

65.45 

18.46 

65.37 

18.74 

65.28 

19.03 

65.20 

19.31 

68 

69 

66.57 

18. i5 

66.49 

18.44 

66.41 

18.73 

66.33 

19.02 

66.24 

19.31 

66.16 

19.60 

69 

70 

67.54 

18.41 

67.45 

18.71 

67.37 

19.00 

67.29 

19.29 

67.20 

19.59 

67.12 

19.88 

70 

71 

68.5o 

18.68 

68.42 

18.97 

68.33 

19.27 

68.25 

19.57 

68.16 

19.87 

68.08 

20.17 

71 

72 

6946 

18.94 

69.38 

19.24 

69.30 

19.54 

69.21 

19.85 

69.12 

20. i5 

69.03 

20.45 

72 

73 

70.43 

19.20 

70.35 

19.51 

70.26 

19.82 

70.17 

20.12 

70.08 

20.43 

69.99 

20.73 

73 

74 

71.39 

19.46 

71.31 

19.78 

71.22 

20.09 

71.13 

20.40 

71.04 

20.71 

70.95 

21.02 

74 

75 

72.36 

19.73 

72.27 

20.04 

72.18 

20. 36 

72.09 

20.67 

72.00 

20.99 

71.91 

21. 3o 

75 

76 

73.32 

19.99 

73.24 

20. 3i 

73.15 

20.63 

73.06 

20.95 

72.96 

21.27 

72.87 

21.59 

76 

77 

74.29 

20.25 

74.20 

20. 58 

74.11 

20.90 

74.02 

21.22 

73.92 

21.55 

73.83 

21.87 

77 

78 

75.25 

20  52 

75.16 

20.84 

75.07 

21.17 

74.98 

21. 5o 

74.88 

21.83 

74.79 

22. i5 

78 

79 

76.22 

20.78 

76.13 

21. 1 1 

76.03 

21.44 

75.94 

21.78 

75.84 

22.11 

75.75 

22.44 

79 

80 

77,18 

21  o4 

77.09 

21.38 

77.00 

21.72 

76.90 

22. o5 

76.80 

22.39 

76.71 

22.72 

80 

81 

78  1 5 

21. 3i 

78.05 

21.65 

77.96 

21.99 

77.86 

22.33 

77.76 

22.67 

77.66 

23.01 

81 

82 

79.11 

21  57 

79.02 

21.91 

78.92 

22.26 

78.82 

22.60 

78.72 

22.95 

78.62 

23.29 

82 

83 

80.08 

21  83 

79.98 

22.18 

79.88 

22.53 

79.78 

22.88 

79.68 

23.23 

79.58 

23.57 

83 

84 

81.04 

22.09 

80.94 

22.45 

8o.85 

22.80 

80.75 

23. i5 

80.64 

23.5i 

80.54 

23.86 

84 

85 

82.01 

22  36 

81.91 

22.72 

81.81 

23.07 

81.71 

23.43 

81.60 

23.79 

81. 5o 

24.14 

85 

86 

82.97 

22.62 

82.87 

22.98 

82.77 

23.34 

82.67 

23.70 

82.56 

24.07 

82.46 

24.43 

86 

87 

83.94 

22.88 

83.84 

23.25 

83.73 

23.62 

83.63 

23.98 

83.52 

24.35 

83.42 

24.71 

87 

88 

84.90 

23.15 

84.80 

23.52 

84.70 

23.89 

84.59 

24.26 

84.48 

24.62 

84.38 

24.99 

88 

89 

85  87 

23.41 

85.76 

23.78 

85.66 

24.16 

85.55 

24.53 

85.44 

24.90 

85.33 

25.28 

89 

90 

86.83 

23.67 

86.73 

24.o5 

86.62 

24.43 

86.5i 

24.81 

86.4o 

25.18 

86.29 

25.56 

90 

91 

8780 

23.94 

87.69 

24.32 

87.58 

24.70 

87.47 

25.08 

87.36 

25.46 

87.25 

25.85 

91 

92 

88.76 

24.20 

88.65 

24.59 

88.55 

24.97 

88.44 

25.36 

88.32 

25.74 

88.21 

26.13 

92 

0 

93 

89.73 

24.46 

89.62 

24.85 

89.51 

25.24 

89.40 

25.63 

89.28 

26.02 

89.17 

0 

26.41 

93 
94 
95 

94 

90.69 

24.72 

90.58 

25.12 

90.47 

25.52 

90.36 

25.91 

90.24 

26.30 

90.10 

26.70 

£:      0 

95 

91.65 

24.99 

91.54 

25.39 

91.43 

25.79 

91.32 

26.19 

91.20 

26.58 

91.09 

26.90 

96 

92.62 

25.25 

92.51 

25.65 

92.40 

26.06 

92.28 

26.46 

92.16 

26.86 

92.05 

27.27 
27.55 

D  0 

96 

97 

93.58 

25. 5i 

93.47 
94.44 

25.92 

93.36 

26.33 

93.24 

26.74 

93.12 

27.14 

93.01 

97 

98 

98 

94.55 

25.78 

26.19 

94.32 

26.60 

94.20 

27.01 

94.08 

27.42 

93.96 
94.92 

r    00 

27.80 
28.12 
28.40 

99 

95.51 

26.04 

95.40 
96.36 

26.46 

95.28 

26.87 

95.16 

27.29 

95.04 

27.70 

99 

100 

g 

96.48 

26.30 

Lat. 

26.72 
Lat. 

96.25 

27.14 

96.12 

27.56 

96.00 
Dep. 

27.98 
Lat. 

95.88 

Dep. 

100 

Dep. 

Dep. 

Dep. 

Lat. 

Dep. 

Lat. 

Lat 

0 

1 

CO 

a 
S 

tn 

Q 

74%  Deg. 

74K  Deg. 

74K  Deg. 

74  Deg. 

73%  Deg. 

73K  Deg. 

158 


Traverse    Table. 


o 

w 
a 
P 

I 

16,^.^  Deg. 

17  Deg. 

171^  Deg. 

171^  Deg. 

17%  Deg. 

18  Deg. 

0 

D 
0 

Kat.    1   Dep. 

i^t. 

Dep. 

Lat. 

Dep. 

Lat.    1    Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

0.q6 

0.29 

0.96 

0.29 

o.g5 

o.3o 

0.95 

o.3o 

0.95 

o.3o 

0.95 

o.3i 

1 

2 

7 

1.92 

2.87 

0.58 

1.91 

0.58 

1.91 

0.59 

I.9I 

0.60 

1.90 

0.61 

1.90 

0.62 

2 

3 

0.86 

2.87 

0.88 

2.87 

0.89 

2.86 

0.90 

2.86 

0.91 

2.85 

0.93 

3 

4 

/ 

3.83 

i.i5 

3.83 

1. 17 

3.82 

1. 19 

3.81 

1.20 

3.81 

1.22 

3.80 

1.24 

4 

5 

4.79 

1.44 

4.78 

1.46 

4.78 

1.48 

4.77 

i.5o 

4.76 

1.52 

4.76 

1.55 

5 

6 

5.75 

1.73 

5.74 

1.75 

5.73 

1.78 

5.72 

1.80 

5.7. 

1.83 

5.71 

1.85 

6 

7 
8 

6.70 

2.02 

6.69 

2.o5 

6.69 

2.08 

6.68 

2.10 

6.67 

2.l3 

6.66 

2.16 

7 

7.66 
8.62 

2.3l 

7.65 

2.34 

7.64 

2.37 

7.63 

2.4l 

7.62 

2.44 

7.61 

2.47 

8 

9 

lO 

2.59 

8.61 

2.63 

8.60 

2.671 

8.58 

2.71 

8.57 

2.74 

8.56 

2.78 

9 

9-58 

2.88 

9.56 

2.92 

9.55 

2.97 

9.54 

3.01 

9.52 

3.o5 

9.51 

3.09 

ID 

1 1 

10.53 

3.17 

10.52 

3.22 

10. 5i 

3.26 

10.49 

3.3i 

10.48 

3.35 

10.46 

3.4o 

II 

12 

11.49 
12.45 

3.46 

11.48 

3.5i 

11.46 

3.56 

11.44 

3.61 

11.43 

3.66 

11.41 

3.71 

12 

i3 

3.75 

12.43 

3.80 

12.42 

3.85 

12. 4o 

3.91 

12.38 

3.96 

12.36 

4.02 

i3 

i4 

i3.4i 

4.o3 

[3.39 

4.09 

13.37 

4.15! 

13.35 

4.21 

i3.33 

4.27 

i3.3i 

4.33 

i4 

i5 

i4.36 

4.32 

14.34 

4.39 

14.33 

4.45 

i4.3i 

4.5i 

14.29 

4.57 

14.27 

4.64 

i5 

i6 

i5.32 

4.61 

i5.3o 

4.68 

15.28 

4.74 

i5.26 

4.81 

i5.24 

4.88 

l5.22 

4.94 

16 

17 

16. 28 

4.90 

16.26 

4.97 

16.24 

5.o4 

16.21 

5. II 

16.19 

5.18 

16.17 

5.25 

17 

18 

17.24 

5.19 

17.21 

5.26 

17.19 

5.34 

17.17 

5.4i 

17.14 

5.49 

17.12 

5.56 

18 

'9 

18.19 

5.48 

18.17 

5.56 

18. i5 

5.63 

18.12 

5.7. 

18.30 

5.79 

18.07 

5.87 

19 

20 

/ 

19.15 

5.76 

19.13 

5.85 

19.10 

5.93 

19.07 

6.01 

19.05 

6.10 

19.02 

6.18 

20 

21 

20.1 1 

6.o5 

20.08 

6.i4 

20.06 

6.23 

20. o3 

6.3i 

20.00 

6.4o 

19.97 

6.49 

21 

22 

21.07 

6.34 

2I.o4 

6.43 

iil.OI 

6.52 

20.98 

6.62 

20.95 

6.7. 

20.92 

6.eo 

22 

23 

22.02 

6.63' 

21.99 

6.72 

21.97 

6.82 

21.94 

6.92 

21.91 

7.01 

21.87 

7. II 

23 

24 

22.98 

6.92 

22.95 

7.02 

22.92 

7.12 

22.89 

7.22 

22.86 

7.32 

22.83 

7.42 

24 

25 

23.94 

7.20 

23.91 

7.3i 

23.88 

7.41 

23.84 

7.52 

23.81 

7.62 

23.78 

7.73 

25 

26 

24.90 

7-49 

24.86 

7.60 

24.83 

7.71 

24.80 

7  82 

24.76 

7.93 

24.73 

8.o3 

26 

27 

25.85 

7.78 

25.82 

7.89 

25.79 

8.01 

25.75 

8.12 

25.71 

823 

25.68 

8.34 

27 

28 

26.81 

8.07 

26.78 

8.19 

26.74 

8.3o 

26.70 

8.42 

26.67 

8.54 

26.63 

8.65 

28 

29 

27.77 

8.36 

27.73 

8.48 

27.70 

8.60 

27.66 

8.72 

27.62 

8.84 

27.58 

8.96 

29 

3o 

28.73 

8.65 

28.69 

8.77 

28.65 

8.90 

28.61 

9.02 

28.57 

9.15 

28.53 

9.27 

3o 

3i 

29.68 

8.93 

29.65 

9.06 

29.61 

9.19 

29.57 

9.32 

29.52 

9.45 

29.48 

9.58 

3i 

32 

30.64 

9.22 

3o.6o 

9.36 

3o.56 

9.49 

3o.52 

9.62 

3o.48 

9.76 

30.43 

9.89 

32 

33 

3i.6o 

9.5i 

31.56 

9.65 

31.52 

9-79 

31.47 

9.92 

31.43 

10.06 

31.38 

10.20 

33 

34 

32.56 

9.80 

32. 5i 

9.94 

32.47 

10.08 

32.43 

10.22 

32.38 

10.37 

32.34 

10. 5i 

34 

35 

33. 5i 

10.09 

33.47 

I0.23 

33.43 

10. 38 

33.38 

10. 52 

33.33 

10.67 

33.29 

10.82 

35 

36 

34.47 

10.38 

34.43 

10.53 

34.38 

10.68 

34.33 

I0.83 

34.29 

10.98 

34.24 

II. 12 

36 

37 

35.43 

10.66 

35.38 

10.82 

35.34 

10.97 

35.29 

II. i3 

35.24 

11.28 

35.19 

11.43 

37 

38 

36.39 

10.95 

36.34 

II. II 

36.29 

1 1.27 

36.24 

11.43 

36.19 

11.58 

36.14 

11.74 

38 

39 

37.35 

11.24 

37.30 

I  i.4o 

37.25 

11.57 

37.19 

11.73 

37.14 

11.89 

37.09 

12. o5 

39 

4o 

38. 3o 

11.53 

38.25 

11.69 

38.20 

11.86 

38. i5 

12. o3 

38. 10 

12.19 

38.04 

12.36 

4o 

4i 

39.26 

11.82 

39.21 

11.99 

39.16 

12.16 

39.10 

12.33 

39.05 

12. 5o 

38.99 

12.67 

4i 

42 

4o.22 

12.10 

4o.i6 

12.28 

4o.ii 

12.45 

4o.o6 

12.63 

4o.oo 

12.80 

39.94 

12.98 

42 

43 

41.18 

12.39 

4l.I2 

12.57 

41.07 

12.75 

4i.oi 

12.93 

40.95 

i3.ii 

40.90 

13.29 

43 

44 

42.13 

12.68 

42.08 

12.86 

42.02 

i3.o5 

41.96 

i3.23 

41.91 

i3.4i 

41.85 

i3.6o 

44 

45 

43.09 

12.97 

43.03 

i3.i6 

42.98 

i3.34 

42.92 

i3.53 

42.86 

13.72 

42.80 

13.91 

45 

46 

44.05 

13.26 

43.99 

13.45 

43.93 

i3.64 

43.87 

i3.83 

43.81 

l4.02 

43.75 

14.21 

46 

47 

45.01 

i3.55 

44.95 

13.74 

44.89 

13.94 

44.82 

i4.i3 

44.76 

14.33 

44.70 

14.52 

47 

48 

45.96 

i3.83 

45.90 

i4.o3 

45.84 

l4.23 

45.78 

14.43 

45.71 

i4.63 

45.65 

i4.83 

48 

49 

46.92 

14.12 

46.86 

14.33 

46.8c 

14.53 

46.73 

14.73 

46.67 

14.94 

46.60 

i5.i4 

49 

5o 

47.88 

i4.4i 

47.82 

14.62 

47.75 

14.83 

47.69 

i5.o4 

47.62 

i5.24 

47.55 

i5.45 

5o 

d 

a 
3 

d 
a 
S 

Q 

Dep. 

Lat 

Dep. 

lat. 

Dep. 

Lat. 

Dep. 

1    Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

73K  Deg. 

73  Deg. 

72%  Deg. 

721^  Deg. 

72%  Deg. 

72  Deg. 

Traverse    Table. 


159 


5 

00* 

a 

o 

16%  Beg. 

17  Deg. 

17%  Deg. 

171^  Deg. 

17%  Deg. 

18  Deg. 

5 

1 

Lat. 

Dep. 

Lat. 

Dep. 

14.91 

Lat.        Di'p. 

Lat. 

Dep. 

i^t. 

Dep. 

i5.55 

Lat. 

Dep. 

TT 

48.84 

14.70 

48.77 

48.71 

l5.I2 

48.64 

l5.34 

48.57 

48.5o 

15.76 

5i 

52 

49.79 

14.99 

49.73 

l5.20 

49.66 

i5.42 

49.59 

i5.64 

49.52 

i5.85 

49.45 

16.07 

52 

53 

50.75 

15.27 

5o.68 

i5.5o 

50.62 

15.72 

5o.55 

15.94 

5o.48 

16.16 

5o.4i 

16. 38 

53 

54 

51.71 

i5.56 

5 1.64 

15.79 

5i.57 

16.01 

5i.5o 

16.24 

5i.43 

16.46 

5 1.36 

16.69 

54 

55 

52.67 

i5.85 

52.60 

16.08 

52.53 

i6.3i 

52.45 

16.54 

52.38 

16.77 

52.3i 

17.00 

55 

56 

53.62 

16. i4 

53.55 

16.37 

53.48 

16.61 

53.4i 

16.84 

53.33 

17.07 

53.26 

17.30 

56 

5? 

54.58 

16.43 

54.5i 

16.67 

54.44 

16.90 

54.36 

17.14 

54.29 

17.38 

54.21 

17.61 

57 

58 

55.54 

16.72 

55.47 

16.96 

55.39 

17.20 

55.32 

17.44 

55.24 

17.68 

55.16 

17.92 

58 

59 

56. 5o 

17.00 

56.42 

17.25 

56.35 

17.50 

56.27 

17.74 

56.19J 

17.99 

56.11 

18.23 

59 

60 

57.45 

17.29 

57.38 

17.54 

57.30 

17.79 

57.22 

18.04 

57.14 

18.29 

57.06 

18.54 

60 

61 

58.4i 

17.58 

58.33 

17.83 

58.26 

18.09 

58.18 

18.34 

58. 10 

18.60 

58.0I 

i8.85 

61 

62 

59.37 

17.87 

59.29 

18. i3 

59.21 

18.39 

59.13 

18.64 

59.05 

18.90 

58.97 

19.16 

62 

63 

60.33 

18.16 

60.25 

18.42 

60.17 

18.68 

60.08 

18.94 

60.00 

19.21 

59.92 

19.47 

63 

64 

61.28 

18.441 

61.20 

18.71 

61.12 

18.98 

6i.o4 

19.25 

60.95 

19.51 

60.87 

19.78 

64 

65 

62.24 

18.73 

62.16 

19.00 

62.08 

19.28 

61.99 

19.55 

61.91 

19.82 

61.82 

20.09 

65 

66 

63.20 

19.02 

63.12 

19.30 

63.03 

19.57 

62.95 

19.85 

62.86 

20.12 

62.77 

20. 4o 

66 

67 

64.16 

19.31 

64.07 

19.59 

63.99 

19.87 

63.90 

20. i5 

63.8i 

20.43 

63.72 

20.70 

67 

68 

65.11 

19.60 

65.03 

19.88 

64.94 

20. i6 

64.85 

20.45 

64.76 

20.73 

64.67 

21.01 

68 

69 

66.07 

19.89 

65.99 

20.17 

65.90 

20.46 

65.8i 

20.75 

65.72 

2I.o4 

65.62 

21.32 

69 

70 

67.03 

20.17 

66.94 

20.47 

66.85 

20.76 

66.76 

21. o5 

66.67 

21.34 

66.57 

21.63 

70 

7» 

67.99 

20.46 

67.90 

20.76 

67.81 

2i.o5 

67.71 

21.35 

67.62 

21.65 

67.53 

21.94 

71 

72 

68.95 

20.75 

68.8J 

21. o5 

68.76 

2, .35 

68.67 

21.6.' 

68.57 

21.95 

6J.48 

22.25 

/2 

73 

69.90 

2I.o4 

69.81 

21.34 

69.72 

21.65 

69.62 

21.95 

69.52 

22.26 

69.43 

22.56 

73 

74 

70.86 

21.33 

70.77 

21.64 

70.67 

21.94 

70.58 

22.25 

70.48 

22.56 

70.38 

22.87 

74 

75 

71.82 

21.61 

71.72 

21.93 

71.63 

22.24 

71.53 

22.55 

71.43 

22.86 

71.33 

23.18 

75 

76 

72.78 

21.90 

72.68 

22.22 

72.58 

22.54 

72.48 

22.85 

72.38 

23.17 

72.28 

23.49 

76 

77 

73.73 

22.19 

73.64 

22. 5i 

73.54 

22.83 

73.44 

23.15 

73.33 

23.47 

73.23 

23.79 

77 

78 

74.69 

22.48 

74.59 

22.80 

74.49 

23. i3 

74.39 

23.46 

74.29 

23.78 

74.18 

24.10 

78 

79 

75.65 

22.77 

75.55 

23.10 

75.45 

23.43 

75.34 

23.76 

75.24 

24.08 

75.13 

24.41 

79 

80 

76.61 

23.06 

76.50 

23.39 

76.40 

23.72 

76.30 

24.06 

76.19 

24.39 

76.08 

24.72 

80 

81 

77.56 

23.34 

77.46 

23.68 

77.36 

24.02 

77.25 

24.36 

77.14 

24.69 

77.04 

25.o3 

81 

82 

78.52 

23.63 

78.42 

23.97 

78.31 

24.32 

78.20 

24.66 

78.10 

25.00 

77.99 

25.34 

82 

83 

79.48 

23.92 

79.37 

24.27 

79.27 

24.61 

79.16 

24.96 

i  79.05 

25. 3o 

78.94 

25.65 

83 

0   / 

84 

80.44 

24.21 

80.33 

24.56 

80.22 

24.91 

80.11 

25.26 

;  80.00 

25.61 

79.89 

25.96 

84 

85 

81.39 

24. 5o 

81.29 

24.85 

81.18 

25.21 

81.07 

25.56 

80.95 

25.91 

80.84 

26.27 

85 

86 

82.35 

24.78 

82.24 

25. i4 

82.13 

25. 5o 

82.02 

25.86 

81.91 

26.22 

81.79 

26.58 

86 

87 

88 

83. 3i 

25.07 

83.20 

25.44 

83.09 

25.80 

82.97 

26.16 

82.86 

26.52 

82.74 

26.88 

87 

84.27 

25.36 

84.i5 

25.73 

84.o4 

26.10 

83.93 

26.46||83.8i 

26.83 

83  69 

27.19 

88 

89 
90 

85.22 

25.65 

85.11 

26.02 

85.00 

26.39 

84.88 

26.76  ,84.76 

27.13 

84.64 

27.50 

89 

86.18 

25.94 

86.07 

26.31 

85.95 

26.69 

85.83 

27.06 

85.72 

27.44 

85.6o 

27.81 

90 

91 
92 

93 

94 
95 

87.14 

26.23 

87.02 

26.61 

86.91 

26.99 

86.79 

27.36 

86.67 

27.74 

86.55 

28.12 

9' 

88.10 

26.51 

87.98 
88.94 

26.90 

87.86 

27.28 

87.74 

27.66  187.62 

28.05 

87.50 

28.43 

92 

0 

89.05 
90.01 
90.97 

26.80 

27.19 

88.82 

27.58 

88.70 

27.97 

88.57 

28.35 

88.45 

28.74 
29.05 
29.36 

93 
94 
95 

27.09 
27.38 

89.89 
90.85 

27.48 
27.78 

89.77 
90.73 

27.87 

28.17 

89.65 
90.60 

28.27 
28.57 

89.53 
90.48 

28.66 
28.96 

89.40 
90.35 

96 

97 
98 

99 
100 

91.93 

27.67 

91.81 

28.07 

91.68 

28.47 

91.56 

28.87 

191.43 

29.27 

91.30 
92.25 

29.67 

96 

92.88 
93.84 

27.95 
28.24 

7 

92.76 

93.72 

28  36 

92.64 

28.76 

92.51 

29.17ij92.38 

29.57 

29.97 
30.28 
30.59 
30.90 

97 
98 

28.65 

93.59 

29.06 

93.46 

29.47,  93.33 

29.88 

93.20 
94.15 
95.11 

94.80 
95.76 

28.53 

94.67 
95.63 

28.94 

94.55 

29.36 

1  94.42 

29.7711  94.29 

3o.i8 

99 

28.82 

29.24 

95.50 

29. 65 

95.37 

30.07 

95.24 

30.49 

100 

1 

g 

a 
a 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1   Lat. 

Dop. 

Lat. 

Dep. 

Lat 

731^  Deg. 

73  Deg. 

72%  Deg. 

72K  Deg. 

72%  Deg. 

72  Deg. 

IGO 


Traverse    Table. 


2 

i 

18>^  Deg. 

18K  Deg. 

18%  Deg. 

19  Deg. 

19%  Deg. 

mA  Deg. 

0 

D 
a 

I 

Lat. 

Dep.    1 
o.3i 

I>at. 

Dep. 
0.32 

Lat. 

Dep. 

Lat. 

Dep. 
0.33 

Lat. 

Dep. 

Lat. 

Dep. 

I 

0.g5 

0.95 

0.95 

0.32 

0.95 

0.94 

0.33 

0.94 

0.33 

2 

1.90 

0.63 

1.90 

0.63 

1.89 

0.64 

1.89 

0.65 

1.89 

0.66 

1.89 

0.67 

2 

3 

2.85 

0.94' 

2.84 

0.95 

2.84 

0.96 

2.84 

0.98 

2.83 

0.99 

2.83 

1. 00 

3 

4 

3.80 

I.25| 

3.79 

1.27 

3.79 

1.29 

3.78 

i.3o 

3.78 

1.32 

3.77 

1.34 

4 

5 

4.75 

1.57 

4.74 

1.59 

4.73 

I.6I 

4.73 

1.63 

4.72 

1.65 

4.71 

1.67 

5 

6 

5.70 

1.88 

5.69 

1.90 

5.68 

1.93 

5.67 

1.95 

5.66 

1.98 

5.66 

2.00 

6 

7 

6.65 

2.IQ 

6.64 

2.22 

6.63 

2.25 

6.62 

2.28 

6.61 

2.3l 

6.60 

2.34 

7 

/ 

8 

7.60 

2.5l 

7.59 

2.54 

7.58 

2.57 

7.56 

2.60 

7.55 

2.64 

7.54 

2.67 

8 

9 

8.55 

2.82 

8.53 

2.86 

8.52 

2.89 

8.5i 

2.93 

8.5o 

2.97 

8.48 

3.00 

9 

lO 

9.50 

3.i3 

9.48 

3.17 

9.47 

3.21 

9.46 

3.26 

9.44 

3.3o 

9.43 

3.34 

10 

II 

10.45 

3.44 

10.43 

3.49 

10.42 

3.54 

10.40 

3.58 

10. 38 

3.63 

10.37 

3.67 

II 

12 

11.40 

3.76 

11.38 

3.81 

11.36 

3.86 

11.35 

3.91 

11.33 

3.96 

11. 3i 

4.01 

12 

i3 

12.35 

4.07 

12.33 

4.12 

12. 3i 

4.18 

12.29 

4.23 

12.27 

4.29 

12.25 

4.34 

i3 

i4 

i3.3o 

4.38 

13.28 

4.44 

13.26 

4.5o 

13.24 

4.56 

l3.22 

4.62 

l3.20 

4.67 

i4 

i5 

i4.25 

4.70 

14.22 

4.76 

l4.20 

4.82 

14.18 

4.88 

14.16 

4.95 

i4.i4 

5.01 

i5 

i6 

l5.20 

5.01 

i5.i7 

5.08 

i5.i5 

5.i4 

i5.i3 

5.21 

i5.ii 

5.28 

i5.o8 

5.34 

16 

I? 

16. i4 

5.32 

16.12 

5.39 

16.10 

5.46 

16.07 

5.53 

16. o5 

5.60 

16.02 

5.67 

17 

i8 

17.09 

5.64 

17.07 

5.71; 

17.04 

5.79 

17.02 

5.86 

16.99 

5.93 

16.97 

6.01 

18 

19 

18.04 

5.95 

18.02 

6.o3; 

17.99 

6. II 

17.96 

6.19 

17.94 

6.26 

17.91 

6.34 

19 

20 

18.99 

6.26 

18.97 

6.35 

18.94 

6.43 

18.91 

6.5i 

18.88 

6.59 

i8.85 

6.68 

20 

21 

19.94 

6.58 

[9.91 

6.66 

19.89 

6.75 

19.86 

6.84 

19.83 

6.92 

19.80 

7.01 

21 

22 

20.89 

6.89' 

20.86 

6.98, 

20.83 

7.07 

20.80 

7.16 

20.77 

7.25 

20.74 

7.34 

22 

23 

21.84 

7.20; 

21.81 

7.3o 

21.78 

7.39 

21.75 

7-49 

21.71 

7.58 

21.68 

7.68 

23 

24 

22.79 

7.52 

22.76 

7.62 

22.73 

7.71 

22.69 

7.81 

22.66 

7.91 

22.62 

8.01 

24 

25 

23.74 

7.83 

23.71 

7.93 

23.67 

8.04 

23.64 

8.i4 

23.60 

8.24 

23.57 

8.35 

25 

26 

24.69 

8.i4 

24.66 

8.25 

24.62 

8.36 

24.58 

8.46 

24.55 

8.57 

24.5i 

8.68 

26 

27 

25.64 

8.46 

25.60 

8.57 

25.57 

8.68 

25.53 

8.79 

25.49 

8.90 

25.45 

9.01 

27 

28 

26.59 

8.77 

26.55 

8.88 

26.51 

9.00 

26.47 

9.12 

26.43 

9.23 

26.39 

9.35 

28 

29 

27.54 

9.08 

27.50 

9.20 

27.46 

9.32 

27.42 

9.44 

27.38 

9.56 

27.34 

9.68 

29 

3o 

28.49 

9.39 

28.45 

9.52 

28.41 

9.64 

28.37 

9-77 

28.32 

9.89 

28.28 

10.01 

3o 

3i 

29.44 

9.71 

29.40 

9-84 

29.35 

9.96 

29.31 

10.09 

29.27 

10.22 

29.22 

10.35 

3i 

32 

30.39 

10.02 

3o.35 

10. i5 

3o.3o 

10.29 

30.26 

10.42 

3o.2i 

10.55 

3o.i6 

10.68 

32 

33 

31.34 

10.33 

31.29 

10.47 

31.25 

10.61 

3l.20 

10.74 

3i.i5 

10.88 

3i.ii 

11.02 

33 

34 

32.29 

10. 65 

32.24 

10.79 

32.20 

10.93 

32.15 

11.07 

32.10 

II. 21 

32.o5 

11.35 

34 

35 

33.24 

10.96 

33.19 

II. II 

33.14 

11.25 

33.09 

11.39 

33.04 

11,54 

32.99 

11.68 

35 

36 

34.19 

11.27 

34.14 

11.42 

34.09 

11.57 

34.04 

11.72 

33.99 

11.87 

33.94 

12.02 

36 

37 

35.14 

11.59 

35.09 

11.74 

35.04 

11.89 

34.98 

12. o5 

34.93 

12.20 

34.88 

12.35 

37 

38 

36.09 

11.90 

36.04 

12.06 

35.98 

12.21 

35.93 

12.37 

35.88 

12.53 

35.82 

12.68 

38 

39 

37.04 

12.21 

36.98 

12.37 

36.93 

12.54 

36.88 

12.70 

36.82 

12.86 

36.76 

l3.02 

39 

4o 

37.99 

12.53 

37.93 

12.69 

37.88 

12.86 

37.82 

l3.02 

37.76 

13.19 

37.71 

13.35 

4o 

4i 

38.94 

12.84 

38.88 

i3.oi 

38.82 

i3.i8 

38.77 

13.35 

38.71 

i3.52 

38.65 

13.69 

4i 

42 

39.89 

i3.i5 

39.83 

i3.33 

39.77 

i3.5o 

39.71 

13.67 

39.65 

i3.85 

39.59 

14.02 

42 

43 

40.84 

13.47 

40.78 

i3.64 

40.72 

13.82 

40.66 

i4.oo 

4o.6o 

14.18 

40.53 

14.35 

43 

44 

41.79 

13.78 

41.73 

13.96 

41.66 

i4.i4 

4i.6o 

14.32 

41.54 

i4.5i 

41.48 

14.69 

44 

45 

42.74 

14.09 

42.67 

14.28 

42.61 

14.46 

42.55 

i4.65 

42.48 

14.84 

42.42 

l5.02 

45 

46 

43.69 

i4.4i 

43.62 

i4.6o 

43.56 

14.79 

43.49 

14.98 

43.43 

i5.i7 

43.36 

i5.36 

46 

47 

44.64 

14.72 

44.57 

14.91 

44.5i 

i5.ii 

44.44 

i5.3o 

44.37 

i5.5o 

44. 3o 

15.69 

47 

48 

45.59 

i5.o3 

45.52 

i5.23 

45.45 

i5.43 

45.38 

i5.63 

45.32 

i5.83 

45.25 

16.02 

48 

49 

46.54 

i5.35 

46.47 

i5.55 

46.4o 

15.75 

46.33 

15.95 

46.26 

i6.i5 

46.19 

i6.36 

49 

5o 

a 
1 

47.48 

i5.66 
Lat. 

47.42 
Dep. 

15.87 

I.at. 

47.35 

Dep. 

16.07 

47.28 

16.28 

47.20 

16.48 

47.13 

16.69 

5o 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

IM. 

g 

a 
a 

CO 

a 

1 

71%  Deg. 

n^  Deg. 

71M  Deg. 

71  Deg. 

70%  Deg. 

70M  Deg. 

Traverse    Table. 


161 


2 

CO 

a 
a 
p 

5i 

183^  Deg. 

181^  Deg. 

18%  Deg. 

19  Deg. 

19%  Deg. 

19^^  Deg. 

a 
n 
9 

5i 

Lat. 

48.43 

Dep. 

Lat. 

Uep. 

Lat 

Dep. 
16.39 

Lat.    1    Dep. 

Lat 

Dep. 

Lat 

Dep. 

15.97 

48.36 

16.18 

48.29 

48.22 

16.60 

48.15 

16.81 

48.07 

17.0^ 

52 

49.38 

16.28; 

1 

49.31 

i6.5o 

49.24 

16.71 

49.17 

16.93 

49.09 

17.14 

49.02 

17.36 

52 

53 

5o.33 

16.60 

5o.26 

16.82 

50.19 

17.04 

5o.i  I 

17.26 

5o.o4 

17.47 

49.96 

17.61, 

53 

54 

51.28 

16.91 

5l.2I 

17.13 

5i.i3 

17.36 

5 1.06 

17.58 

50.98 

17.80 

50.90 

i8.ob 

54 

55 

52.23 

17.22 

52.16 

17.45 

52.08 

17.68 

52.00 

17.91 

51.92 

i8.i3 

51.85 

18. 36 

55 

56 

53.18 

1754 

53.11 

17.77 

53.03 

18.00 

52.95 

18.23 

52.87 

18.46 

52.79 

18.6c, 

56 

^7, 

54.13 

17.85 

54.05 

18.09 

53.98 

18.32 

53.89 

i8.56 

53.81 

18.79 

53.73 

19.03 

57 

58 

55.08 

18.16    55.00 

18.40, 

54.92 

18.64 

54.84 

18.88 

54.76 

1 9. 1 2 

54.67 

19.36 

58 

59 

56.03 

18.48155.95 

18.72 

55.87 

18.96 

55.79 

19.21 

55.70 

19.45 

55.62 

19.69 

59 

6o 

56.98 

18.79 

:)6.9o 

19.04 

56.82 

19.29 

56.73 

19.53 

56.65 

19.78 

56.56 

2o.o3 

60 

6i 

57.93 

19.10 

57.85 

19.36 

57.76 

19.61 

57.68 

19.86 

57.59 

20.1 1 

57.50 

20.36 

61 

62 

58.88 

i9-42i 

58.8o 

19.67 

58.71 

19.93 

58.62 

20.19 

58.53 

20.44 

58.44 

20.711 

62 

63 

59.83 

19.731 

59.74 

19.99 

59.66 

20.25 

59.57 

20. 5i 

59.48 

20.77 

59.39 

21.o3 

63 

64 

60.78 

20. o4 

60.69 

20. 3i 

60.60 

20.57 

60. 5i 

20.84 

60.42 

21.10 

60.33 

21.36 

64 

65 

61.73 

20.36 

61.64 

20.62 

61.55 

20.89 

61.46 

21.16 

61.37 

21.43 

61.27 

21.70 

65 

66 

62.68 

20.67 

62.59 

20.94; 

62. 5o 

21.22 

62.40 

21.49 

62.31 

21.76 

62.21 

22. o3 

66 

67 

63.63 

20.98 

63.54 

21.26, 

63.44 

21.54 

63.35 

21.81 

63.25 

22.09 

63.16 

22.37 

67 

68 

64.58 

21. 3o 

64.49 

21.58 

64.39 

21.86 

64.3o 

22.14 

64.20 

22.42 

64.10 

22.70 

68 

69 

65.53 

21.61 

65.43 

21.89: 

65.34 

22.18 

65.24 

22.46 

65.14 

22.75 

65.04 

23. o3 

69 

70 

66.48 

21.92 

66.38 

22.21 

66.29 

22. 5o 

66.19 

22.79 

66.09 

23.08 

65.98 

23.37 

70 

71 

67.43 

22.23 

67.33 

22.53 

67.23 

22.82 

67.13 

23.12 

67.03 

23.4i 

66.93 

23.70 

71 

72 

68.38 

22.55j 

68.28 

22.85: 

68.18 

23.14 

68.08 

23.44 

67.97 

23.74 

67.87 

24.o3 

72 

73 

69  33 

22.86 

69.23 

23.16 

69.13 

23.47 

69.02 

23.77 

68.92 

24.07 

68.81 

24.37 

73 

74 

70.28 

23.17 

70.18 

23.48 

70.07 

23.79 

69.97 

24.09 

69.86 

24.40 

69.76 

24.70 

74 

75 

71.23 

23.49 

71.12 

23.80 

71.02 

24.11 

70.91 

24.42 

70.81 

24.73 

70.70 

25.04 

75 

76 

72.18 

23.80 

72.07 

24.12 

71-97 

24.43 

71.86 

24.74 

71.75 

25.06 

71.64 

25.37 

76 

77 

73.13 

24.1 1 

73.02 

24.43| 

72.91 

24.75 

72.80 

25.07 

72.69 

25.39 

72.58 

25.70 

77 

78 

74.08 

24.43 

73.97 

24.75 

73.86 

25.07 

73.75 

25.39 

73.64 

25.72 

73.53 

26.04 

78 

79 

75.03 

24.74: 

74.92 

25.07 

74.81 

25.39 

74.70 

25.72 

74.58 

26.05 

74.47 

26.37 

79 

80 

75.98 

2  5.o5| 

75.87 

25.38 

75.75 

25.72 

75.64 

26.05 

75.53 

26.38 

75.41 

26.70 

80 

81 

76.93 

25.37 

76.81 

25.70 

76.70 

26.04 

76.59 

26.37 

76.47 

26.70 

76.35 

27.04 

81 

82 

77.88 

25.68, 

77.76 

26.02 

77.65 

26.36 

77.53 

26.70 

77.42 

27.03 

77.3o 

27.37 

82 

83 

78.83 

25.99' 

78.71 

26.34 

78.60 

26.68 

78.48 

27.02 

78.36 

27.36 

78.24 

27.71 

83 

84 

79-77 

26.31, 

79.66 

26.65 

79-54 

27.00 

79.42 

27.35 

79.30 

27.69 

79.18 

28.04 

84 

85 

80.72 

26.62 

80.61 

26.97 

80.49 

27.32 

80.37 

27.67 

80.25 

28.02 

80.12 

28.37 

85 

86 

81.67 

26.93 

8i.56 

27.29 

81.44 

27.64 

8i.3i 

28.00 

81.19 

28.35 

81.07 

28.71 

86 

87 

82.62 

27.25 

82.50 

27.61 

82.38 

27.97 

82.26 

28.32 

82.14 

28.68 

82.01 

29.04 

87 

88 

83.57 

27.56 

83.45 

27.92 

83.33 

28.29 

83.21 

28.65;  83.08 

29.01 

82.95 

29.37 

88 

89 

84.52 

27.87' 

84.4o 

28.24 

84.28 

28.61 

84. i5 

28.98  84.02 

29.34 

83.90 

29.71 

89 

90 

85.47 

28.18 

85.35 

28.56 

85.22 

28.93 

85. 10 

29.30 

84.97 

29.67 

84.84 

3o.o4 

90 

91 

86.42 

28.50 

86.3o 

28.87 

86.17 

1 
29.25 

86.04 

29.63 

85.91 

3o.oo 

85.78 

3o.38 

91 

92 

87.37 

28.81 

87.25 

29.19, 

87.12 

29.57 

86.99 

29.95 

86.86 

3o.33 

86.72 

30.71 

92 

93 

88.32 

29.12 

88.19 

29.51 

88.06 

29.89 

87.93 

30.28 

87.80 

30.66 

87.67 

3i.o4 

93 

94 

89.27 

29.44 

89.14 

29.83 

89.01 

30.22 

88.88 

3o.6o 

88.74 

30.99 

88.61 

31.38 

94 

95 

90.22 

29.75 

90.09 

3o.i4 

89.96 

30.54 

89.82 

30.93 

89.69 

31.32 

89.55 

31.71 

95 

96 

91.17 

3o.o6 

91.04 

30.46 

90.91 

30.86 

90.77 

31.25 

90.63 

31.65 

90.49 

32.o5 

96 

97 

92.12 

30.38 

91.99 

30.78 

91.85 

3i.i8 

91.72 

31.58 

91.58 

31.98 

91.44 

32.38 

97 

98 

93.07 

30.69 

92.94 

3i  .10 

92.80 

3i.5o 

92.66 

31.91 

92.52 

32.3] 

92.38 

32.71 

98 

99 

94.02 

3 1. 00 

93.88 

3i.4i 

93.75 

31.82 

93.61 

32.23 

93.46 

32.64 

93.32 

33.o5 

99 

100 

u 
a 
5 

as 

Q 

94.97 

31.32 

94.83 

31.73 

j  94.69 
Dep. 

32. i4 

94.55 

32.56 

94.41 

32.97 

94.26 

Dep. 

33.38 

100 

Dep. 

Lat. 

Dep. 

Lat. 

Lat 

Dep. 

Lat 

Dep. 

Lat 

Lat 

S 

1 

00 

Q 

71%  Deg. 

nK  Deg. 

71K  Deg. 

1 
1 

71  Deg.        70X  Deg. 

i 

70K  Deg. 

162 


Tkavekse    Table. 


'  s* 

19%  Deg.  1 

20  Deg. 

20>i  Deg. 

201^  Deg. 

205^  Deg. 

21  Deg. 

0 

i 

I 

UL 

Dep.   1 

IM. 

Dep. 

\M.        Dep. 

l.at. 

Dep. 
0.35 

Lat 

Dep. 

J  At 

Dep. 

I 

0.94 

1.88 

0.34 

0.94 

0.34 

0.941    0.35 

0.94 

0.94 

0.35 

0.93 

0.36 

o 

0.68, 

1.88 

0.68 

1.88 

0.69I 

1.87 

0.70 

1.87 

0.71 

1.87 

0.72 

2 

3 

2.82 

1 .01 

2.82 

l.o3 

2.81 

i.o4 

2.81 

i.o5 

2.81 

1.06 

2.80 

1,08 

3 

4 
5 

4.71 

1.35 

3.76 

1.37 

3.75 

1.38 

3.75 

i.4o 

3.74 

1.42 

3.73 

1.43 

4 

1.69 

4.70 

I.71 

4.69 

1.73 

4.68 

1.75 

4.68 

1.77 

4.67 

1.79 

5 

g 

5.65 

2.o3 

5.64 

2.o5 

5.63 

2.08 

5.62 

2.10 

5.61 

2.l3 

5.60 

2.l5 

6 

7 
8 

6.59 
7.53 

8.47 
9.41 

2.37, 

2.70 

6.58 

2.39 

6.57 

2.42! 

6.56 

2.45 

6.55 

2.48 

6.54 

2.5l 

7 

7.52 

2.74 

7.5i 

2.77 

7.49 

2.80 

7.48 

2.83 

7.47 

2.87 

8 

9 

lO 

3.o4 

8.46 

3.08 

8.44 

3.12 

8.43 

3.i5 

8.42 

3.19 

8.4o 

3.23 

9 

3.38 

9.40 

3.42 

9.38 

3.46 

9.37 

3.5o 

9.35 

3.54 

9.34 

3.58 

10 

II 

10.35 

3.72 

10.34 

3.76 

10.32 

3.81 

10. 3o 

3.85 

10.29 

3.90 

10.27 

3.94 

11 

12 

11.29 

12.24 

4.06 

11.28 

4.10 

11.26 

4.i5 

11.24 

4.20 

11.22 

4.25 

1 1.20 

4.3o 

12 

i3 

4.39' 

12.22 

4.45; 

12.20 

4.5o 

12.18 

4.55 

12.16 

4.61 

12. i4 

4.66 

i3 

i4 

i3.i8 

4.73 

i3.i6 

4.79 

i3.i3 

4.85 

i3.ii 

4.90 

13.09 

4.96 

13.07 

5.02 

i4 

i5 

14.12 

5.07 

i4.io 

5.i3 

14.07 

5.19 

i4.o5 

5.25 

i4.o3 

5.3i 

14.00 

5.38 

i5 

i6 

i5.o6 

5.4i 

i5.o4 

5.47 

i5.oi 

5.54 

14.99 

5.60 

14.96 

5.67   14.94 

5.73 

16 

I? 
i8 

16.00 

5.74 

i5.97 

5.81 

15.95 

5.88 

15.92 

5.95 

15.90 

6.02! 

15.87 

6.09 

17 

16.94 

17.88 

6.08 

7  1 

16.91 

6.16 

16.89 

6.23 

16.86 

6.3o 

16. 83 

6.38 

16.80 

6.45 

18 

»9 

20 

6.42 

17.85 

6.5o 

17.83 

6.58 

17.80 

6.65 

17.77 

6.73 

17.74 

6.81 

19 

18.82 

6.76 

18.79 

6.84| 

18.76 

6.92 

18.73 

7.00 

18.70 

7.09 

18.67 

7.17 

20 

21 

19.76 

7.10 

.9.73 

7.18 

19.70 

7.27 

19.67 

7.35 

19.64 

7.44 

19,61 

7.53 

21 

22 

20.71 

7.43 

20.67 

7.52 

20.64 

7.61 

20.61 

7.70 

20.57 

7.79 

20.54 

7.88 

22 

23 

21.65 

7-77 

21.61 

7.87 

21.58 

7.96 

21.54 

8.o5 

21. 5i 

8.i5 

21.47 

8.24 

23 

24 

22.59 

8.11 

22.55 

8.21 

22.52 

8.3i 

22.48 

8.4o 

22.44 

8.5o 

22. 4i 

8.60 

24 

25 

23.53 

8.45 

23.49 

8.55 

23.45 

8.65 

23.42 

8.76 

23.38 

8.86 

23.34 

8.96 

25 

26 

24.47 

8.79 

24.43 

8.89 

24.39 

9.00 

24.35 

9.11 

24.3i 

9.21 

24.27 

9.32 

26 

27 

25.41 

'    '  1 

9.121 

25.37 

9.23 

25.33 

9.35j 

25.29 

9.46 

25.25 

9.57 

25.21 

9.68 

27 

28 

26.35 

9.46 

26.31 

9.58 

26.27 

9.69! 

26.23 

9.81 

26.18 

9.92 

26.14 

io.o3 

28 

29 

27.29 

9.80 

27.25 

9.92 

27.21 

10. o4 

27.16 

10. t6 

27.12 

10.27 

27.07 

10.39 

29 

So 

28.24 

10. i4 

28.19 

10.26 

28.15 

10. 38 

28.10 

10. 5i 

28.05 

10.63 

28.01 

10.75 

3o 

3i 

29.18 

I0.48 

2Q.l3 

10.60 

29.08 

10.73 

29.04 

10.86 

28.99 

10.98 

28.94 

11. II 

3i 

32 

3o.I2 

to. 81  |3o.07 

10.94 

3o.o2 

11.08 

29.97 

1 1.21 

29.92 

11.34 

29.87 

11.47 

32 

33 

3 1. 06 

,11. i5 

3i.oi 

11.29 

30.96 

11.42 

30.91 

11.56 

30.86 

1 1.69 

3o.8i 

11.83 

33 

34 

32.00 

11.49 

31.95 

11.63 

31.90 

11.77 

31.85 

11.91 

31.79 

12. o5 

31.74 

12.18 

34 

35 

32.94 

11.83 

32.89 

11.97 

32.84 

12.1 1 

32.78 

12.26 

32.73 

12.4o 

32.68 

12.54 

35 

36 

33.88 

12.17 

33.83 

12. 3i 

33.77 

12.46 

33.72 

12.61 

33.66 

12.75 

33.61 

12.90 

36 

37 

34.82 

12. 5o 

34.77 

12.65 

34.7> 

12.81 

34.66 

12.96 

34.60 

i3.iil;  34.54 

13.26 

|37 

38 

35.76 

12.84 

35.71 

i3.oo 

35.65 

i3.i5 

35.59 

i3.3i 

35.54 

13.46 

35.48 

13.62 

!  38 

39 

36.71 

i3.i8 

36.65 

i3.34 

36.59 

i3.5o 

36.53 

i3.66 

36.47 

13.82 

36.41 

13.98 

39 

40 

37.65 

i3.52 

37.59 

i3.68 

37.53 

i3.84 

37.47 

i4.oi 

37.41 

14.17 

37.34 

14.33 

4o 

4i 

38.59 

)  13.85 

38.53 

l4.02 

38.47 

14.19 

38.4c 

i4.36 

38.34 

14.53 

38.28 

14.69 

4i 

43 

39.52 

!  14.19 

39.47 

i4.36 

39.40 

14.54 

39.34 

14.71 

39.28 

i4.88 

39.21 

i5.o5 

'42 

1         .  n. 

43 

4o.4] 

1  14.53 

4o.4i 

14.71 

40.34 

14.88 

40.2S 

i5.o6 

40.21 

i5.23 

4o.i4 

i5.4i 

!  43 

44 

4t.4i 

14.87 

4i.3c 

i5.o5 

41.28 

i5.23 

41.21 

1 5.4 1 

4i.i5 

15.59 

41.08 

15.77 

44 

45 

42. 3f 

>    l5.21 

42.29 

1  15.39 

42.22 

i5.58 

42. iS 

15.76 

42.08 

15.94 

42.01 

i6.i3 

45 

46 

43.2c 

)  i5M 

43.2: 

!  15.73 

43. if 

)  15.92 

43.0c 

)  16.11 

43.02 

16. 3o 

42.94 

16.48 

46 

47 

44.2. 

i  i5.8g 

i  44.1- 

}  16.07 

44.0c 

)  16.27 

44.0^ 

!    16.4c 

43.95 

i6.65 

43.88 

16.84 

47 

48 

45.1? 

i  16.22 

45.1 

16. 4c 

45.0: 

5  i6.6i 

44.9^ 

'■>    16.81 

44.89 

17.01 

44.81 

17.2c 

48 

49 

46. 1 ; 

2  i6.5e 

ii  46.0^ 

I  16. 7(: 

)  45.9- 

7  16.96 

1  45. 9( 

1    i7.lt 

45.82 

17.36 

45.75 

i7.5e 

49 

5o 

i 

2 

CO 

5 

47. o( 

5  16.9c 

)  46.9S 

3    17. IC 

1  46.9 

17.31 

46.8; 

3  17.51 

46.76 

)  17.71 

46.68 

\  17.92 

5o 

1 

2 

2 

Dep. 

Lat. 

Dep. 

Lat 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat 

Dep.   1    Lat 

70K  Deg. 

70  Deg. 

69?1  Deg. 

69>^  Deg. 

69^^  Deg. 

69  Deg. 

Traverse    Table. 


163 


IG4: 

T 

RAVERSE    Table 

" 

g 

S 
a 
o 
.» 

21)4  Deg. 

21 K  Deg. 

21%  Deg. 

23  Deg. 

22%  Deg. 

22%  Deg. 

o 

55' 
ST 

D 

8 

lAi. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 
0.37 

Lat.        Dep. 

Lat.    1    Dep. 

Lat. 

Dep. 

0.93 

1.86 

0.36 

0.93 

0.37 

0.93 

0.93 

0.37 

0.93 

0.38 

0.92 

0.38 

I 

2 

0.72 

1.86 

0.73 

1.86 

0.74 

1.85 

0.75 

1.85 

0.76 

1.85 

0.77 

2 

3 

2.80 

/ 

1.09 

1.45 

2.79 

1. 10 

2.79 

l.l  I 

2.78 

1. 12 

2.78 

1.14 

2.77 

i.i5 

3 

4 

3.73 
4.66 

3.72 

1.47 

3.72 

1.48 

3.71 

i.5o 

3.70 

i.5i 

3.70 

1.53 

4 

5 

I.8I 

4.65 

1.83 

4.64 

1.85 

4.64 

1.87 

4.63 

1.89 

4.62 

1.91 

5 

6 

5.59 
6.52 

2.17 

2.54 

5.58 

2.20 

5.57 

2.22 

5.56 

2.25 

5.55 

2.27 

5.54 

2.3o 

6 

7 

8 

6.5i 

2.57 

6.5o 

2.59 

6.49 

2.62 

6.48 

2.65 

6.47 

2.68 

7 

7.46 
8.39 
9.32 

2.90 

7.44 

2.93 

7.43 

2.96 

7.42 

3.00 

7.40 

3.o3 

7.39 

3.06 

8 

9 
ro 

3.26 
3.62 

8.37 
9.30 

3.3o 
3.67 

8.36 
9.29 

3.34 
3.71 

8.34 
9.27 

3.37 
3.75 

8.33 
9.26 

3.4i 
3.79 

8.3i 
9.24 

3.44 
3.83 

9 
10 

1 1 

10.25 

3.99 

10.23 

4.o3 

10.22 

4.08 

10.20 

4.12 

10.18 

4.17 

10.16 

4.21 

II 

12 

II. 18 

4.35 

II. 17 

4.40 

II. i5 

4.45 

II. i3 

4.5o 

II. 11 

4.54 

11.09 

4.59 

12 

i3 

12.12 

4.71 

12.10 

4.76 

12.07 

4.82 

12. o5 

4.87 

I2.o3 

4.92 

12.01 

4.97 

i3 

i4 

i3.o5 

^     1 

5.07 

i3.o3 

5.i3 

i3.oo 

5.19 

12.98 

5.24 

12.96 

5.3o 

12.93 

5.36 

i4 

i5 

13.98 

5.44 

13.96 

5.5o 

13.93 

5.56 

13.91 

5.62 

13.88 

5.68 

i3.86 

5.74 

i5 

i6 

14.91 

5.80 

14.89 

5.86 

14.86 

5.93 

i4.83 

5.99 

14.81 

6.06 

14.78 

6.12 

16 

17 

1 5.84 

6.16 

i5.82 

6.23 

15.79 

6.3o 

15.76 

6.37 

15.73 

6.44 

15.71 

6.5i 

17 

18 

16.78 

6.52 

16.75 

6.60 

16.72 

6.67 

16.69 

6.74 

16.66 

6.82 

i6.63 

6.89 

18 

19 

17.71 

6.89 

17.68 

6.96 

17.65 

7.04 

17.62 

7.12 

17.59 

7.19 

17.55 

7.27 

19 

7 

20 

18.64 

7.25 

18.61 

7.33 

18.58 

7.41 

18.54 

7.49 

18. 5i 

7.57 

18.48 

7.65 

20 

21 

19.57 

7.61 

19.54 

7.70 

19.50 

7.78 

19.47 

7.87 

19.44 

795 

19.40 

8.o4 

21 

22 

20. 5o 

7-97 

20.47 

8.06 

20.43 

8.i5 

20.40 

8.24 

20.36 

8.33 

20.33 

8.42 

22 

23 

21.44 

8.34 

21. 4o 

8.43 

21.36 

8.52 

21.33 

8.62 

21.29 

8.71 

21.25 

8.80 

23 

24 

22.37 

8.70 

22.33 

8.80 

22.29 

8.89 

22.25 

8.99 

22.21 

9.09 

22.17 

9.18 

24 

25 

23. 3o 

9.06 

23.26 

9.16 

23.22 

9.26 

23.18 

9.37 

23. i4 

9.47 

23.10 

9.57 

25 

26 

24.23 

9.42 

24.19 

9.53 

24. i5 

9.63 

24.1  I 

9.74 

24.06 

9.84 

24.02 

9.95 

26 

27 

25.16 

9-79 

25.12 

9.90 

25.08 

10.01 

25. o3 

10. 1 1 

24.99 

10.22 

24.94 

10.33 

27 

28 

26.10 

10. i5 

26.05 

10.26 

26.01 

I0.38 

25.96 

10.49 

25.92 

10.60 

25.87 

10.72 

28 

29 

27.03 

10. 5i 

26.98 

10.63 

26.94 

10.75 

26.89 

10.86 

26.84 

10.98 

26.79 

11.10 

29 

3o 

27.96 

10.87 

27.91 

1 1. 00 

27.86 

II. 12 

27.82 

11.24 

27.77 

11.36 

27.72 

11.48 

3o 

3i 

28.89 

11.24 

28.84 

11.36 

28.79 

11.49 

28.74 

1 1. 6 1 

28.69 

11.74 

28.64 

11.86 

3i 

32 

29.82  1 1.60 

29.77 

11.73 

29.72 

11.86 

29.67 

11.99 

29.62 

12.12 

29.56 

12.25 

32 

33 

30.76 

11.96 

30.70 

12.09 

30.65 

12.23 

3o.6o 

12.36 

30.54 

12. 5o 

30.49 

12.63 

33 

34 

31.69 

12.32 

31.63 

12.46 

31.58 

12.60 

3i.52 

12.74 

31.47 

12.87 

3i.4i 

i3.o] 

34 

35 

32.62 

12.69 

32.56 

12.83 

32.5i 

12.97 

32.45 

i3.ii 

32.39 

i3.25 

32.34 

13.39 

35 

36 

33.55 

i3.o5 

33. 5o 

13.19 

33.44 

13.34 

33.38 

i3.49 

33.32 

i3.63 

33.26 

13.78 

36 

37 

34.48 

i3.4i 

34.43 

i3.56 

34.37 

13.71 

34. 3i 

i3.86 

34.24 

14.01 

34.18 

14.16 

37 

38 

35.42 

13.77 

35.36 

13.93 

35.29 

14.08 

35.23 

14.24 

35.17 

14.39 

35.11 

14.54 

38 

39 

36.35 

i4.i4 

36.29 

14.29 

36.22 

14.45 

36.16 

14.61 

36. 10 

14.77 

36.o3 

14.92 

39 

4o 

37.28 

i4.5o 

37.22 

14.66 

37.15 

14.82 

37.09 

14.98 

37.02 

i5.i5 

36.96 

i5.3i 

4o 

4i 

33.21 

i4.86 

38.15 

i5.o3 

38.08 

15.19 

38.01 

i5.36 

37.95 

i5.52 

37.88 

15.69 

4i 

42 

39.14 

1 5.22 

39.08 

15.39 

39.01 

i5.56 

38.94 

15.73 

38.87 

15.90 

38.8o 

16.07 

42 

43 

4o.o8 

i5.58 

1  4o.oi 

15.76 

39.94 

15.93 

39.87 

16. 1 1 

39.80 

16.28 

39.73 

16.46 

43 

44 

4i.oi 

15.95 

40.9^ 

16. i3 

40.87 

16. 3o 

40.80 

16.48 

40.72 

16.66 

40.65 

16.84 

44 

45 

41.94 

i6.3i 

41.87 

16.49 

4i.8o 

16.68 

41.72 

16.86 

4i.65 

17.04 

41.57 

17.22 

45 

46 

42.87 

16.67 

42.8c 

)  16.86 

42.73 

17.05 

42.65 

17.23 

42.57 

17.42 

42. 5o 

17.60 

46 

47 

43.80 

17.03 

43.7: 

!  17.23 

43.65 

17.42 

43.58 

17.61 

43. 5o 

17.80 

43.42 

17.99 

47 

48 

44.74 

17.40 

44.6f 

)  17.59 

44. 5g 

17.79 

44.5o 

17.98 

44.43 

18.18 

44.35 

18.37 

48 

49 

45.67 

17.76 

45.5c 

)  17.96 

45. 5i 

18.16 

45.43 

18. 36 

45.35 

18.55 

45.27 

18.75 

49 

;  5o 

46.6c 

18.12 

46.52 

.  18.33 

46.4^ 

^  18.53 

46.36 

18.73 

46.28 

18.93 

46.19I  19.13 

5o 

di 

0 

1 

5 

i 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep.   1    Lat. 

68%  Deg. 

68K  Deg. 

68%  Deg. 

68  Deg. 

67%  Deg. 

671^  Deg. 

Traverse    Table. 


Ifl5 


5 

55' 

B 
a 

? 

5i 

213^  Deg. 

2ni  Deg. 

21%  Deg. 

22  Deg. 

22%  Deg. 

22y^  Deg. 

g 

1 

m 

5. 

Lat. 

Uep. 

Lat. 

Dep. 

Lat 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

47.53 

18.48 

47.45 

18.69 

47.37 

18.90 

47.29 

19.10 

47.20 

19.31 

47.12 

19.52 

52 

48.46 

18.85 

48.38 

19.06 

48.3o 

19.27 

48.21 

19.48 

48.13 

19-69 

48.04 

19.90 

52 

53 

49.40 

19.21 

49.31 

19.42 

49.23 

19-64 

49.14 

19.85 

49.05 

20.07 

48.97 

20.28 

53 

54 

5o.33 

19.57 

5o.24 

19.79 

5o.i6 

20.01 

50.07 

20.23 

49.98 

20.45 

49.89 

20.66 

54 

55 

5i.26 

19.93 

51.17 

20. i6 

5 1. 08 

20. 38 

5 1.00 

20.60 

50.90 

20.83 

5o.8i 

21. o5 

55 

56 

52.19 

20. 3o 

52.10 

20.52 

52.01 

20.75 

51.92 

20.98 

5i.83 

21.20 

51.74 

21.43 

56 

5? 

53.12 

20.66 

53.03 

20.89; 

52.94 

21.12 

52.85 

21.35 

52.76 

21.58 

52.66 

21.81 

57 

58 

54.06 

2t.02 

53.96 

21.26 

53.87 

21.49 

53.78 

21.73 

53.68 

21.96 

53.59 

22.20 

58 

59 

54.99 

21.38 

54.89 

21.62 

54.80 

21.86 

54.70 

22.10 

54.61 

22.34 

54.5i 

22.58 

59 

60 

55.92 

21.75 

55.83 

21.99 

55.73 

22.23 

55.63 

22.48 

55.53 

22.72 

55.43 

22.96 

60 

61 

56.85 

22.11 

56.76 

22.36 

56.66 

22.60 

56.56 

22.85 

56.47 

23.10 

56.36 

23.34 

61 

62 

57.78 

22.47 

57.69 

22.72 

57.59 

22.97 

57.49 

23.23 

57.38 

23.48 

57.28 

23.73 

62 

63 

58.72 

22.83 

58.62 

23.09 

58.52 

23.35 

58.4i 

23.60 

58. 3i 

23.85 

58. 20 

24.1 1 

63 

64 

59.65 

23.20 

59.55 

23.46 

59.44 

23.72 

59.34 

23.97 

59.23 

24.23 

59.13 

24.49 

64 

65 

6o.58 

23.56 

60.48 

23.82 

60.37 

24.09 

60.27 

24.35 

60.16 

24.61 

60. o5 

24.87 

65 

66 

61. 5i 

23.92 

61.41 

24.19 

6x.3o 

24.46 

61.19 

24.72 

61.09 

24.99 

60.98 

25.26 

66 

67 

62.44 

24.28 

62.34 

24.56 

62.23 

24.83 

62.12 

25.10 

62.01 

25.37 

61.90 

2  5.64 

67 

68 

63.38 

24.65 

63.27 

24.92 

63.16 

25.20 

63.o5 

25.47 

62.94 

25.75 

62.82 

26.02 

68 

69 

64. 3i 

25.01 

64.20 

25.291 

64.09 

25.57 

63.98 

25.85 

63.86 

26.13 

63.75 

26.41 

69 

70 

65.24 

25.37 

65.13 

25.66 

65. 02 

25.94 

64.90 

26.22 

64.79 

26. 5i 

64.67 

26.79 

70 

71 

66.17 

25.73 

66.06 

26.02 

65.95 

26. 3i 

65.83 

26.60 

65.71 

26.88 

65.6o 

27.17 

71 

72 

67.10 

26.10 

66.99 

26.39 

66.87 

26.68 

66.76 

26.97 

66.64 

27.26 

66.52 

27.55 

72 

73 

68.04 

26.46 

67.92 

26.75 

67.80 

27.05 

67.68 

27.35 

67.56 

27.64 

67.44 

27.94 

73 

74 

68.97 

26.82 

68.85 

27.12 

68.73 

27.42 

68.61 

27.72 

68.49 

28.02 

68.37 

28.32 

74 

75 

69.90 

27.18 

69.78 

27.49 

69.66 

27.79 

69.54 

28.10 

69.42 

28.40 

69.29 

28.70 

75 

76 

70.83 

27.55 

70.71 

27.85 

70.59 

28.16 

70.47 

28.47 

70.34 

28.78 

70.21 

29.08 

76 

77 

71.76 

27.91 

71.64 

28.22 

71.52 

28.53 

71.39 

28.84 

71.27 

29.16 

71.14 

29.47 

77 

78 

72.70 

28.27 

72.57 

28.59 

72.45 

28.90 

72.32 

29.22 

72.19 

29.53 

72.06 

29.85 

78 

79 

73.63 

28.63 

73. 5o 

28.95 

73.38 

29.27 

73.25 

29.59 

73.12 

29.91 

72.99 

3o.23 

79 

80 

74.56 

29.00 

74.43 

29.32 

74.3o 

29.64 

74.17 

29.97 

74.04 

30.29 

73.91 

3o.6i 

80 

81 

75.49 

29.36 

75.36 

29.69 

75.23 

3o.02 

75.10 

30.34 

74.97 

30.67 

74.83 

3 1.00 

81 

82 

76.42 

29.72 

76.29 

3o.o5 

76.16 

30.39 

76.03 

30.72 

75.89 

3i.o5 

75.76 

3i.38 

82 

83 

77.36 

3o.o8 

77.22 

3o.42 

77.09 

30.76 

76.96 

31.09 

76.82 

3i.43 

76.68 

31.76 

83 

84 

78.29 

30.44 

78.16 

30.79 

78.02 

3i.i3 

77.88 

31.47 

77.75 

3i.8j 

77.61 

32.15 

84 

85 

79.22 

3o.8i 

79.09 

3i.i5 

78.95 

3i.5o 

78.81 

31.84 

78.67 

32.19 

78.53 

32.53 

85 

86 

80. i5 

31.17 

80.02 

31.52 

79.88 

31.87 

79-74 

32.22 

79.60 

32.56 

79.45 

32.91 

86 

87 

81.08 

31.53 

80.95 

31.89 

80.81 

32.24 

80.66 

32.59 

80.52 

32.94 

80. 38 

33.29 

87 

88 

82.02 

31.89 

81.88 

32.25 

81.74 

32.61 

81.59 

32.97 

81.45 

33.32 

81. 3o 

33.68 

88 

89 

82.95 

32.26 

82.81 

32.62 

82.66 

32.98 

82.52 

33.34 

82.37 

33.70 

82.23 

34.06 

89 

90 

83.88 

32.62 

83.74 

32.99 

83.59 

33.35 

83.45 

33.71 

83.3o 

34.08 

83.15 

34.44 

90 

9' 

84.81 

32.98 

84.67 

33.35 

84.52 

33.72 

84.37 

34.09 

84.22 

34.46 

84.07 

34.82 

91 

92 

85.74 

33.34 

85.6o 

33.72 

85.45 

34.09 

85. 3o 

34.46! 

85. i5 

34.84 

85.00 

35.21 

92 

93 

86.68 

33.71 

86.53 

34.08 

86.38 

34.46 

86.23 

34.84! 

86.08 

35.21 

85.92 

35.59 

93 

94 

87.61 

34.07 

87.46 

34.45 

87.31 

34.83 

87.16 

35.21 

87.00 

35.59 

86.84 

35.97 

94 

95 

88.54 

34.43 

88.39 

34.82 

88.24 

35.20 

88.08 

35.59 

87.93 

35.97 

87.77 

36.35 

95 

96 

89.47 

34.79 

89.32 

35.18 

89.17 

35.57 

89.01 

35.96 

88.85 

36.35 

88.69 

36.74 

96 

97 

90.40 

35.16 

90.25 

35.55 

90.09 

35.94 

89.94 

36.34 

89.78 

36.73 

89.62 

37.12 

97 

98 

91.34 

35.52 

91.18 

35.92 

91.02 

36.31 

90.86 

36.71 

90.70 

37.11 

90.54 

37.50 

98 

99 

92.27 

35.88 

92.1 1 

36.28 

91.95  36.69! 

91.79 

37.09 

91.63 

37.49' 

91.46 

37.89 

99 

100 
1 

93.20 

36.24 

93.04 

36.65 

92.88 

37.06 

92.72 

37.46^ 

92.55 

37.86 

92.39  38.27J100 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Ut. 

Dep. 

Lat.    1 

Dep.    1    Lat. 

a 
Q 

68% 

Deg. 

681^  Deg. 

68%  Deg. 

68  Deg. 

67%  Deg. 

67K  Deg. 

166 


Traverse    Table. 


S 
s 

22%  Beg. 

23  Beg. 

2334  Deg. 

23K  Deg. 

23%  Deg. 

24  Deg. 

g 
a 

s 

I 

LaU 

Dep. 

Lat. 

Dep. 

Lat.    1    Dep. 

Lat. 

Dep. 

Lat. 
0.92 

Dep. 

],at. 

Dep. 

0.4 1 

I 

0.92 

0.39 

0.92 

0.39 

0.92 

0.39 

0.92 

o.4o 

o.4o 

0.91 

2 

1.84 

0.77 

1.84 

0,78 

1.84 

0.79 

1.83 

0.80 

1.83 

0.81 

1.83 

0.81 

2 

3 

2.77 

1.16 

2.76 

1. 17 

2.76 

1. 18 

2.75 

1.20 

2.75 

1.21 

2.74 

1.22 

3 

4 

3.69 

1.55 

3.68 

1.56 

3.68 

1.58 

3.67 

1.59 

3.66 

1. 61 

3.65 

1.63 

4 

5 

4.61 

1.93 

4.60 

1.95 

4.59 

1.97 

4.59 

1.99 

4.58 

2.01 

4.57 

2.o3 

5 

6 

5.53 

2.32 

5.52 

2.34 

5.5i 

2.37 

5.5o 

2.39 

5.49 

2.42 

5.48 

2.44 

6 

7 

6.46 

2.71 

6.44 

2.74 

6.43 

2.76 

6.42 

2.79 

6.4 1 

2.82 

6.39 

2.85 

7 

/ 

8 

7.38 

3.09 

7.36 

3.i3 

7.35 

3.16 

7.34 

3.19 

7.32 

3.22 

7.3i 

3.25 

8 

0 

8.3o 

3.48 

8.28 

3.52 

8.27 

3.55 

8.25 

3.59 

8.24 

3.62 

8.22 

3.66 

9 

7 

lO 

9.22 

3.87 

9.20 

3.91 

9.19 

3.95 

9.17 

3.99 

9.i5 

4.o3 

9.14 

4.07 

10 

II 

10. i4 

4.25 

io.i3 

4.3o 

10. II 

4.34 

10,09 

4.39 

10.07 

4.43 

10. o5 

4.47 

II 

12 

11.07 

4.64 

II. o5 

4.69 

II, o3 

4.74 

11.00 

4.78 

10.98 

4.83 

10.96 

4.88 

12 

i3 

11.99 

5.o3 

11.97 

5.08 

11.94 

5.i3 

11.92 

5.18 

11.90 

5.24 

11.88 

5.29 

i3 

i4 

12.91 

5.4i 

12.89 

5.47 

12.86 

5.53 

12.84 

5.58 

12.81 

5.64 

12.79 

5.69 

i4 

i5 

i3.83 

5.80 

i3.8i 

5.86 

13.78 

5.92 

13.76 

5.98 

13.73 

6.04 

13.70 

6.10 

i5 

i6 

14.76 

6.19 

14.73 

6.25 

14.70 

6.32 

14.67 

6.38 

i4.64 

6.44 

14.62 

6.5i 

16 

17 

i5.68 

6.57 

i5.65 

6.64 

15.62 

6.71 

15.59 

6.78 

i5.56 

6.85 

i5.53 

6.92 

17 

18 

i6.6o 

6.96 

16.57 

7.o3 

16.54 

7." 

i6.5i 

7.18 

16.48 

7.25 

16.44 

7.32 

18 

19 

17.52 

7.35 

17.49 

7.42 

17.46 

7.5o 

17.42 

7.58 

17.39 

7.65 

17.36 

7.73 

19 

20 

18.44 

7.73 

18.41 

7.81 

18. 38 

7.89 

18.34 

7-97 

i8.3i 

8.o5 

18.27 

8.i3 

20 

21 

19.37 

8.12 

19.33 

8.21 

19.29 

8.29I 

19.26 

8.37 

19.22 

8.46 

19.18 

8.54 

21 

22 

20.29 

8.5i 

20.25 

8.60 

20.21 

8.68 

20.18 

8.77 

20.l4 

8.86 

20.10 

8.95 

22 

23 

21.21 

8.89 

21.17 

8.99 

21. i3 

9.08 

21.09 

9.17 

21. o5 

9.26 

21.01 

9.35 

23 

24 

22. i3 

9.28 

22.09 

9.38 

22. o5 

9.47 

22.01 

9.57 

21.97 

9.67 

21.93 

9.76 

24 

25 

23.o5 

9.67 

23. 01 

9-77 

22.97 

9.87 

22.93 

9-97 

22.88 

10.07 

22.84 

10.17 

25 

26 

23.98 

10. o5 

23.93 

10.16 

23.89 

10.26 

23.84 

10.37 

23.80 

10.47 

23.75 

I0.58 

26 

27 

24.90 

10.44 

24.85 

10.55 

24.81 

10.66 

24.76 

10.77 

24.71 

10.87 

24.67 

10.98 

27 

28 

25.82 

10. 83 

25.77 

10.94 

25.73 

II. o5 

25.68 

1 1. 16 

25.63 

11.28 

25.58 

11.39 

28 

29 

26.74 

II. 21 

26.69 

11.33 

26.64 

11.45 

26.59 

11.56 

26.54 

11.68 

26.49 

11.80 

29 

3o 

27.67 

11.60 

27.62 

11.72 

27.56 

11.84 

27,51 

11.96 

27.46 

12.08 

27.41 

12.20 

3o 

3i 

28.59 

11.99 

28.54 

12. 1 1 

28.48 

12.24 

28,43 

12.36 

28.37 

12.49 

28.32 

12.61 

3i 

32 

29.51 

12.37 

29.46 

12. 5o 

29.40 

12.63 

29.35 

12.76 

29.29 

12.89 

29.23 

1 3.02 

32 

33 

3o.43 

12.76 

3o.38 

12.89 

3o.32 

i3.o3j 

30.26 

i3.i6 

3o.2I 

13.29 

3o.i5 

i3.42 

33 

34 

31.35 

i3.i5 

3i.3o 

13.28 

3i.24 

l3.42 

3i.i8 

i3.56 

3l.I2 

13.69 

3i.o6 

i3.83 

34 

35 

32.28 

i3.53 

32.22 

i3.68 

32.16 

13.82 

32. 10 

13.96 

32. o4 

i4.io 

31.97 

14.24 

35 

36 

33.20 

13.92 

33.14 

14.07 

33.08 

l4.2I 

33.01 

i4.35 

32.95 

i4.5o 

32.89 

14.64 

36 

37 

34.12 

i4.3i 

34.06 

14.46 

34.00 

14.61 

33.93 

14.75 

33.87 

14.90 

33.80 

i5.o5 

37 

38 

35.04 

14.70 

34.98 

i4.85 

34.91 

i5.oo 

34.85 

i5.i5 

34.78 

i5.3o 

34.71 

i5.46 

38 

39 

35.97 

i5.o8 

35.90 

i5.24 

35.83 

15.39 

35.77 

i5.55 

35.70 

15.71 

35.63 

i5.86 

39 

.40 

36.89 

15.47 

36.82 

i5.63 

36.75 

15.79 

36.68 

15.95 

36.6i 

16. 1 1 

36.54 

16.27 

4o 

4i 

37.81 

i5.86 

37.74 

16.02 

37.67 

16.18 

37.60 

16.35 

37.53 

i6.5i 

37.46 

16.68 

4i 

.42 

38.73 

16.24 

38.66 

16.41 

38.59 

i6.58 

38.52 

16.75 

38.44 

16.92 

38.37 

17.08 

42 

43 

39.65 

16. 63 

39.58 

16.80 

39.51 

16.97 

39.43 

17.15 

39.36 

17.32 

39.28 

17.49 

43 

44 

40.58 

17.02 

4o.5o 

17.19 

40.43 

17.37 

40.35 

17.54 

40.27 

17.72 

4o.20 

17.90 

44 

45 

4i.5o 

17.40 

41.42 

17.58 

41.35 

17.76 

41.27 

17.94 

41.19 

18.12 

4i.ii 

i8.3o 

45 

46 

4a. 42 

17.79 

42.34 

17.97 

42.26 

18. i6 

42.18 

18.34 

42.10 

18.53 

42.02 

18,71 

46 

47 

43.34 

18.18 

43.26 

i8.36 

43.18 

18.55 

43.10 

18.74 

43.02 

18.93 

42.94 

19.12 

47 

48 

44.27 

i8.56 

44.18 

18.76 

44.10 

18.95 

44.02 

19.14 

43.93 

19.33 

43.85 

19.52 

48 

49 

45.19 

18.95 

45.10 

19.15 

45.02 

19.34 

44.94 

19.54 

44.85 

19.73 

44.76 

19,93 

49 

5o 

S 

a 

0 

46.11 

19.34 

46.03 

Dep. 

19.54 

45.94 

19.74 

45.85 

19.94 

45.77 

20. i4 

45.68 

20,34 

5o 

Dep. 

Lat. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

l^t. 

1 

Q 

67^  Beg. 

67] 

Deg. 

66%  Deg. 

66K  Deg. 

66% 

Deg. 

661 

)eg. 

Traverse    Table. 


107 


a 
o 

23%  Deg. 

23  Deg. 

23K  Deg. 

233^  Deg, 

28%  Deg, 

24  Deg. 

0 

ST 

f 

5i 

Lat. 

Dep. 
19.72 

Lat. 

Dep. 
19.93 

Lat.    1    Dep. 

Lat. 

Dep. 

20,34 

Lat 

Dep. 

20.54 

ijii. 

Dep. 

5i 

47.03 

46.95 

46,86 

20.13 

46.77 

46,68 

46.59 

20.74 

52 

47-95 

20.1  I 

47.87 

20.32 

47.78 

20.53 

47.69 

20,73 

47.60 

20.94 

47. 5o 

21. l5 

52 

53 

48.88 

20. 5o 

48.79 

20,71 

48.70 

20.92 

48. 60 

21. l3 

48.5i 

21.35 

48.42 

21,56 

53 

54 

49.80 

20,88 

49.71 

21,10 

49.61 

21.32 

49.52 

21.53 

49.43 

21.75 

49.33 

21.9G 

54 

55 

50.72 

21,27 

5o.63 

21.49 

5o.53 

21,71 

5o.44 

21.93 

5o.34 

22. i5 

5o.24 

22.37 

55 

56 

5i.64 

21.66 

5i,55 

21,88 

5i.45 

22.1  I 

5i.36 

22.33 

51.26 

22.55 

5i,i6 

22.78 

56 

5? 

52.57 

22.04 

52.47 

22,27 

52.37 

22. 5o 

52.27 

22.73 

52.17 

22.96 

52.07 

23,18 

57 

58 

53.49 

22.43 

53.39 

22,66 

53,29 

22.90 

53.19 

23, i3 

53,09 

23.36 

52.99 

23.59 

58 

59 

54.41 

22.82' 

54. 3i 

23. o5 

54.21 

23.29 

54.11 

23.53 

54.00 

23.76 

/  7 

53.90 

24.00 

59 

6o 

55.33 

23,20' 

55.23 

23,44 

55.13 

23,68 

55.02 

23,92 

54.92 

24. 1  c 

54.81 

24.40 

60 

6i 

56.25 

23.59 

56.15 

23.83 

56.o5 

24,08 

55.94 

24.32 

55.83 

24.57 

55.73 

24.81 

61 

62 

57.18 

23.98, 

57.07 

24,23 

56.97 

24.47 

56.86 

24.72 

56.75 

24.97 

56.64 

25.22 

62 

63 

58.10 

24.36j 

57,99 

24.62 

57.88 

24.87 

57.77 

25,12 

57.66 

25.37 

57.55 

25.62 

63 

64 

59,02 

24.75 

58.91 

25,01 

58.8o 

25.26 

58.69 

25.52 

58.58 

25.78 

58.47 

26,03 

64 

65 

59.94 

25.14 

59.83 

25, 4o 

59.72 

25,66 

59.61 

25,92 

59,50 

26,18 

59.38 

26.44 

65 

66 

60.87 

25.52 

60,75 

25,79 

60.64 

26.05 

60,53 

26,32 

60, 4i 

26,58 

60.29 

26.84 

66 

67 

61.79 

25.91^ 

61,67 

26.18 

61.56 

26.45 

61.44 

26.72 

61.33 

26.98 

61.21 

27.25 

67 

68 

62,71 

26.30; 

62.59 

26,57 

62.48 

26.84 

62,36 

27.11 

62.24 

27.39 

62.12 

27.66 

68 

69 

63.63 

26.68I 

63. 5i 

26.96 

63.4o 

27,24 

63,28 

27.51 

63.16 

27.79 

63.03 

28.06 

69 

70 

64.55 

27,07 

64.44 

27.35 

64.32 

27.63 

64.19 

27,91 

64.07 

28,19 

63.95 

28.47 

70 

71 

65.48 

27.46 

65,36 

27.74 

65.23 

28,03 

65.11 

28, 3i 

64-99 

28.59 

64.86 

28.88 

71 

72 

66.4o 

27.84166.28 

28, i3 

66. i5 

28.42 

66.03 

28.71 

65.90 

29.00 

65.78 

29.28 

72 

73 

67.32 

28.23  67.20 

28,52 

67.07 

28.82 

66.95 

29,1 1 

66.82 

29.40 

66.69 

29.69 

73 

74 

68.24 

28,62:68.12 

28.91 

67.99 

29.21 

67.86 

29.51 

67.73 

29.80 

;67.6o 

3o.io 

74 

75 

69.17 

29.00, 

69.04 

29,30 

68,91 

29.61 

68.78 

29,91 

68.65 

3o,21 

68.52 

3o.5i 

75 

76 

70.09 

29.39 

69,96 

29.70 

69.83 

3o,oo 

69,70 

3o.3o 

69.56 

3o.6i 

69.43 

30.91 

76 

77 

71.01 

29.78170.88 

30,09 

70.75 

3o.4o 

70.61 

30.70 

70.48 

3i,oi 

70.34 

31.32 

77 

78 

71.93 

3o.i6  j  71.80 

3o,48 

71.67 

30.79 

71,53 

3i.io 

71.39 

3i.4i 

71.26 

31.73 

78 

79 

72.85 

3o.55  1  72.72 

30.87 

72.58 

3i,i8 

72.45 

3i,5o 

72. 3i 

31.82 

72.17 

32.13 

79 

80 

73.78 

30.94 

73.64 

3i,26 

73.50 

3i.58 

73,36 

31.90 

73.22 

32.22 

73.08 

32,54 

80 

81 

74.70 

3i,32 

74.56 

3i,65 

74.42 

31.97 

74.28 

32. 3o 

74.14 

32.62 

74.00 

32.95 

81 

82 

75.62 

31.71  !75.48 

32, o4 

75.34 

32.37 

75,20 

32.70 

75.06 

33.oJ^ 

74.91 

33.35 

82 

83 

76.54 

32. 10   76.40 

32.43 

76.26 

32,76 

76.12 

33,10 

75.97 

33.43 

75.82 

33.76 

83 

84 

77.46 

32.48  77.32 

32.82 

77.18 

33.16 

77,o3 

33.49 

76.89 

33.83 

76.74 

34.17 

84 

85 

78,39 

32,87  78-24 

1 

33.21 

78,10 

33.55 

77.95 

33,89 

77.80 

34.23 

77.65 

34.57 

85 

86 

79.31 

1 
33.26  79.16 

33.60 

79.02 

33.95 

78.87 

34.29 

78.72 

34.64 

78.56 

34.98 

86 

87 

80.23 

33.64  80.08 

33.99 

79.93 

34.34 

79.78 

34.69 

79.63 

35.04 

79.4s 

35.39 

87 

88 

81. i5 

34.o3   81,00 

34,38 

80. 85 

34.74 

80.70 

35,09 

80,55 

35.44 

80.39 

35.79 

88 

89 

82.08 

34.42  181.92 

34.78 

81.77 

35. i3 

81.62 

35,49 

81.46 

35.84 

81. 3i 

36. 20 

89 

90 

83.00 

34.80  82,85 

1 

35,17 

82,69 

35.53 

82.54 

35.89 

82.38 

36.25 

82.22 

36.61 

90 

91 

83.92 

35.19  83,77 

35.56 

83.6i 

35.92 

83.45 

36.29 

83.29 

36.65 

83.13 

37.01 

91 

92 

84.84 

35.58   84.69 

35.95 

84.53 

36.32 

84.37 

36.68 

84.2  r 

37.05 

84. o5 

37.42 

92 

93 

85.76 

35.96  85. 61 

36.34 

85.45 

36.71 

85.29 

37.08 

85.12 

37.46 

84.96 

37.83 

93 

94 

86.69 

36.35   86.53 

36.73 

86.37 

37,11 

86.20 

37.48 

86.04 

37.86 

85.87 

38.23 

94 

95 

87.61 

36.74,87.45 

37,12 

87.29 

37.50 

87.12 

37,88 

86.95 

38.26 

86.79 

38.64 

95 

96 

88.53 

37.12^88.37 

37,51 

88.20 

37.90 

88.04 

38.28 

87.87 

38.66 

87,70 

39.05 

96 

97 

89.45 

37.51    89,29 

37,90 

89.12 

38.2g 

88.95 

38.68 

88,79 

39.07 

88,61 

39.45 

97 

98 

90.38 

37.90  go, 21 

38,29 

90.04 

38.68  89.87I 

39.08 

89,70 

39-47 

89,53 

39.86 

98 

99 

91.30 

38.28   91. i3 

38.68 

90,96 

39,08 

90.79 

39,48 

90,62 

39.87 

go.44 

40.27 

99 

[00 

§ 

5 

92.22 

38.67 
Lat. 

92.05 

39.07 

91.88 

39.47 

91.71 
Dep. 

39,87 

91,53 

40.27 

91,35 

4o.67| 

100 
t 

0 

Dep. 

Dep. 

Lat. 

Dep. 

Lat. 

Lat, 

Dep. 

ut. 

Dep. 

Lat. 

6714 

Deg. 

67  Deg. 

QQ%  Deg. 

66K  Deg. 

66«^  Deg. 

66  Deg, 

168 


Traverse    Table. 


1 

8 

I 

241^  Deg. 

24M 

Deg. 

24%  Deg. 

25  Deg. 

25%  Deg. 

25K  Deg. 

1 

a 

§ 

Lat. 

Uep. 

Lat. 

Dep. 

Lat. 
0.91 

Dep. 

Lat.    1 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

0.91 

1.82 

0.4 1 

0.91 

o.4i 

0.42 

0.91 

0.42 

0.90 

0.43 

0.90 

0.43 

1 

2 

0.82 

1.82 

0.83 

1.82 

0.84 

1.81 

0.85 

1.81 

0.85 

1.81 

0.86 

2 

3 

2.74 

1.23 

2.73 

1.24 

2.72 

1.26 

2.72 

1.27 

2.71 

1.28 

2.71 

1.29 

3 

4 

3.65 

1.64 

3.64 

1.66 

3.63 

1.67 

3.63 

1.69 

3.62 

1. 71 

3.61 

1.72 

4 

5 

4.56 

2.o5. 

4.55 

2.07 

4.54 

2.09 

4.53 

2.11 

4.52 

2.l3 

4.5i 

2.l5 

5 

6 

5.47 

2.46 

5.46 

2.49 

5.45 

2.5l 

5.44 

2.54 

5.43 

2.56 

5.42 

2.58 

6 

7 

6.38 

2.87 

6.37 

2.90 

6.36 

2.93 

6.34 

2.96 

6.33 

2.99 

6.32 

3.01 

7 

/ 

7.29 
8.21 

3.29 

7.28 

3.32 

7.27 

3.35 

7.25 

3.38 

7.24 

3.4i 

7.22 

3.44 

8 

9 

7 

3.70 

8.19 

3.73 

8.17 

3.77 

8.16 

3.80 

8.i4 

3.84 

8.12 

3.87 

9 

lO 

9.12 

4.II 

9.10 

4.i5 

9.08 

4.19 

9.06 

4.23 

9.04 

4.27 

9.03 

4.3i 

10 

II 

10. o3 

4.52 

10.01 

4.56 

9-99 

4.61 

9-97 

4.65 

9.95 

4.69 

9.93 

4.74 

II 

12 

10.94 

4.93 

10.92 

4.98 

10.90 

5.02 

10.88 

5.07 

I0.85 

5.12 

10.83 

5.17 

12 

i3 

11.85 

5.34 

11.83 

5.39 

11.81 

5.44 

11.78 

5.49 

1 1.76 

5.55 

11.73 

5.60 

i3 

i4 

12.76 

5.75 

12.74 

5.81 

12.71 

5.86 

12.69 

5.92 

12.66 

5.97 

12.64 

6.o3 

i4 

i5 

i3.68 

6.16 

i3.65 

6.22 

13.62 

6.28 

13.59 

6.34 

13.57 

6.4o 

i3.54 

6.46 

i5 

i6 

14.59 

6.57 

i4.56 

6.64 

14.53 

6.70 

i4.5o 

6.76 

14.47 

6.83 

14.44 

6.89 

16 

17 

i5.5o 

6.98 

i5.47 

7.o5 

1 5.44 

7.12 

i5.4i 

7.18 

i5.38 

7.25 

i5.34 

7.32 

17 

18 

16.41 

7-39! 

i6.38 

7.46; 

16.35 

7.54 

i6.3i 

7.61 

16.28 

7.68 

16.25 

7.75 

18 

'9 

17.32 

7.S0 

17.29 

7.88 

17.25 

7.95 

17.22 

8.o3 

17.18 

8.10 

17.15 

8.18 

19 

20 

18.24 

8.21 

18.20 

8.29 

18.16 

8.37 

18. i3 

8.45 

18.09 

8.53 

i8.o5 

8.61 

20 

21 

19.15 

8.63 

19. II 

8.7. 

19.07 

8.79 

19.03 

8.87 

18.99 

8.96 

18.95 

9.04 

21 

22 

20.06 

9.04 

20.02 

9.12 

19.98 

9.21 

19.94 

9.3o 

19.90 

9.38 

19.86 

9-47 

22 

23 

20  97 

9.45 

20.93 

9.54 

20.89 

9.63 

20.85 

9.72 

20.80 

9.81 

20.76 

9.90 

23 

24 

21.88 

9.86 

21.84 

9.95 

21.80 

io.o5 

21.75 

10. i4 

21.71 

10.24 

21.66 

10.33 

24 

20 

22.79 

10.27 

22.75 

10.37 

22.70 

10.47 

22.66 

10.57 

22.61 

10.66 

22.56 

10.76 

25 

26 

23.71 

10.68 

23.66 

10.78 

23.61 

10.89 

23.56 

10.99 

23.52 

11.09 

23.47 

11.19 

26 

27 

24.62 

11.09 

24.57 

11.20 

24.52 

II. 3o 

24.47 

II. 4i 

24.42 

1  1.52 

24.37 

11.62 

27 

28 

25.53 

11. 5o 

25.48 

II. 6 1 

25.43 

11.72 

25.38 

11.83 

25.32 

11.94 

25.27 

12. o5 

28 

29 

26.44 

11.91 

26.39 

12. o3 

26.34 

12. i4 

26.28 

12.26 

26.23 

12.37 

26.17 

12.48 

29 

3o 

27.35 

12.32 

27.30 

12.44 

27.24 

12.56 

27.19 

12.68 

27.13 

12.80 

27.08 

12.92 

3o 

3i 

28.26 

12.73 

i3.i4 

28.21 

12.86 

28. i5 

12.98 

28,10 

i3.io 

28.04 

l3.22 

27.98 

13.35 

3i 

32 

29.18 

29.12 

13.27 

29.06 

i3.4o 

29.00 

i3.52 

28.94 

13.65 

28.88 

13.78 

32 

33 

30.09 

i3.55 

3o.o3 

i3.68 

29.97 

13.82 

29.91 

13.95 

29.85 

i4.o8 

29.79 

14.21 

33 

34 

3 1. 00 

13.96 

30.94 

14.IP 

3o.88 

l4.23 

3o.8i 

14.37 

30.75 

i4.5o 

30.69 

14.64 

34 

35 

31.91 

i4.38 

31.85 

i4.5i 

31.78 

i4.65 

31.72 

14.79 

31.66 

14.93 

31.69 

15.07 

35 

36 

32.82 

14.79 

32.76 

14.93 

32. 6g 

15.07 

32.63 

l5.21 

32.56 

i5.36 

32.49 

i5.5o 

36 

37 

33.74 

l5.20 

33.67 

i5.34 

33.60 

i5.49 

33.53 

1 5.64 

33.46 

15.7& 

33.40 

16.93 

37 

38 

34.65 

i5.6i 

34.58 

15.76 

34.5i 

15.91 

34.44 

16.06 

34.37 

16.21 

34. 3o 

i6.36 

38 

39 

35.56 

16.02 

35.49 

16.17 

35.42 

16.33 

35.35 

i6.48 

35.27 

16.64 

35.20 

16.79 

39 

40 

36.4? 

16.43 

36.4o 

16.59 

36.33 

16.75 

36.25 

16.90 

36.18 

17.06 

36. 10 

17.22 

4o 

4i 

37.38 

16.84 

37.31 

17.00 

37.23 

17.16 

37.16 

17.33 

37.08 

17.49 

37.01 

17.66 

4i 

42 

38.29 

17.25 

38.22 

17.42 

38.14 

17.58 

38.06 

17.75 

1  37-99 

17.92 

37.91 

18.08 

42 

43 

39.21 

17.66 

39.13 

17.83 

39.05 

18.00 

38.97 

18.17 

'  38.89 

18.34 

38.81 

i8.5i 

43 

44 

4o.I2 

18.07 

4o.o^ 

18.25 

39.96 

18.42 

39.88 

!  18.60 

39.80 

18.77 

39.71 

18.94 

44 

45 

4i.o3 

18.48 

40.95 

18.66 

40.87 

18.84 

40.78 

19.02 

'  40.70 

19.20 

40.62 

19.37 

45 

46 

41.94 

18  89 

41.86 

19.08 

41.77 

19.26 

41.69 

19.44 

4i.6o 

19.62 

4i.52 

19.80 

46 

47 

42.85 

19.30 

42.77 

19.49 

'U2.68 

19.68 

42.60 

19.86 

42. 5i 

20. o5 

42.42 

20.23 

47 

48 

43.76 

19.71 

43.66 

19.91 

;'43.5c 

20.10 

43.5o 

20.29 

43.41 

20.48 

43.32 

j  20.66 

48 

49 

44.6e 

20.l3 

:  44.5f 

)  20.32':  44. 5r 

20. 5i 

44.41 

20.71 

I  44.32 

20.90 

44.23 

21.10 

49 

5o 

a 

45.5c 

20. 5^: 
Lat. 

45. 5f 

)  20.73 

45.41 

20.93 

45.32 

Dep. 

21. i3 

45.22 

21.33 

45.13 

21.53 

5o 

Dep. 

Dep. 

Lat. 

Dep. 

Lat. 

Lat. 

!    Dep- 

Lat. 

Dep. 

lat. 

8 

1 

CO 

0 

65%  Deg. 

65KDeg. 

65%  Deg. 

65 

Deg. 

!   64%  Deg. 

64K  Deg. 

Tea 


VERSE 


1  A  B  L  E. 


109 


5 

u 

a 
o 

3414  Deg. 

2i%  Deg. 

24%  Deg. 

25  Deg. 

25%  Deg. 

25^4  Deg. 

0 

m 

1 

s 

5i 

Lat. 

Uep. 

Lat. 

Dep. 

Lat 

Dep. 

Lat 

Dep. 

Lat. 

Dep. 

Lat 

Dep. 

5i 

46. 5o 

20.95 

46.41 

21. l5 

46.32 

21.35 

46.22 

21.55 

46.13 

21.75 

46.o3 

21.96 

52 

47-4i 

21.36 

47.32 

21.56 

47.22 

21.77 

47.13 

21.98 

47.03 

22.18 

46.93 

22.39 

52 

53 

48.32 

21.77 

48.23 

21.98 

48.13 

22.19 

48.03 

22.4o 

47.94 

22.61 

47-84 

22.82 

53 

54 

49.24 

22.18 

49.14 

22.39 

49.04 

22.61 

48.94 

22.82 

48.84 

23.03 

48.74 

23.25 

54 

55 

5o.i5 

22.59 

5o.o5 

22.81 

49.95 

23.03 

49.85 

23.24 

49.74 

23.46 

49.64 

23.68 

55 

56 

5i.o6 

23.00 

50.96 

23.22 

5o.86 

23.44 

50.75 

23.67 

5o.65 

23.89 

50.54 

24.11 

56 

57 

51.97 

23.4l 

51.87 

23.64 

51.76 

23.86 

5i.66 

24.09 

5i.55 

24.3 1 

51.45 

24.54 

57 

58 

52.88 

23.82 

52.78 

24. o5 

52.67 

24.28 

52.57 

24. 5i 

52.46 

24.74 

52.35 

24.97 

58 

59 

53.79 

24.23 

53.69 

24.47 

53.58 

24.70 

53.47 

24.93 

53.36 

25.17 

53.25 

7  / 

25. 4o 

59 

6o 

54.71 

24.64 

54.60 

24.88 

54.49 

25.12 

54.38 

25.36 

54.27 

25.59 

54.16 

25.83 

60 

6i 

55.62 

25. o5 

55. 5i 

25. 3o 

55.4o 

25.54 

55.28 

25.78 

55.17 

26.02 

55.06 

26.26 

61 

62 

56.53 

25.46 

56.42 

25.71 

56.3o 

25.96 

56.19 

26.20 

56.08 

26.45 

55.96 

26.60 

62 

63 

57.44 

25.88 

57.33 

26.13 

57.21 

26.38 

57.10 

26.62 

56.98 

26.87 

56.86 

7 

27.12 

63 

64 

58.35 

26.29 

58.24 

26.54 

58.12 

26.79 

58.00 

27.05 

57.89 

27.30 

57.77 

27.55 

64 

65 

59.26 

26.70 

59.15 

26.96 

59.03 

27.21 

58.91 

27.47 

58.79 

27.73 

58.67 

27.98 

65 

66 

60.18 

27.11 

60.06 

27.37 

59.94 

27.63 

59.82 

27.89 

59.69 

28.15 

59.57 

28.41 

66 

67 

61 .09 

27.52 

60.97 

27.78 

6o.85 

28.05 

60.72 

28.32 

60.60 

28.58 

60.47 

28.84 

67 

68 

62.00 

27.93 

61.88 

28.20 

61.75 

28.47 

61. 63 

28.74 

61. 5o 

29.01 

61. 38 

29.27 

68 

69 

62.91 

28.34 

62.79 

28.61 

62.66 

28.89 

62.54 

29.16 

62.41 

29.43 

62.28 

29-71 

69 

70 

63.82 

28.75 

63.70 

29. o3 

63.57 

29.31 

63.44 

29.58 

63. 3i 

29.86 

63.18 

3o.i/j 

70 

71 

64.74 

29.16 

64.61 

29.44 

64.48 

29.72 

64.35 

3o.oi 

64.22 

30.29 

64.08 

30.57 

71 

72 

65.65 

29.57 

65.52 

29.86 

65.39 

3o.i4 

65.25 

3o.43 

65.12 

30.71 

64.99 

3i.oo 

72 

73 

66.56 

29.98 

66.43 

30.27 

66.29 

3o.56 

66.16 

30.85 

66.03 

3i.i4 

65.89 

3i.43 

73 

74 

67.47 

30.39 

67.34 

30.69 

67.20 

30.98 

67.07 

31.27 

66.93 

31.57 

66.79 

31.86 

74 

75 

68.38 

3o.8o 

68.25 

3i.io 

68.11 

3i.4o 

67.97 

31.70 

67.83 

31.99 

67.69 

32.29 

75 

76 

69.29 

3l.2I 

69.16 

31.52 

69.02 

31.82 

68.88 

32.12 

68.74 

32.42 

68.60 

32.72 

76 

77 

70.21 

31.63 

70.07 

31.93 

69.93 

32.24 

69.79 

32.54 

69.64 

32.85 

69.50 

33. i5 

77 

78 

71.12 

32.o4 

70.98 

32.35 

70.84 

32.66 

70.69 

32.96 

70.55 

33.27 

70.40 

33.58 

78 

79 

72.03 

32.45 

71.89 

32.76 

71.74 

33.07 

71 .60 

33.39 

71.45 

33.70 

71.30 

34.01 

79 

80 

72.94 

32.86 

72.80 

33.18 

72.65 

33.49 

72. 5o 

33.81 

72.36 

34.13 

72.21 

34.44 

80 

81 

73.85 

33.27 

73.71 

33.59 

73.56 

33.91 

73.41 

34.23 

73.26 

34.55 

73.11 

34.87 

81 

82 

74.76 

33.68 

74.62 

34.00 

74.47 

34.33 

74.32 

34.65 

74.17 

34.9S 

74.01 

35. 3o 

82 

83 

75.68 

34.09 

75.53 

34.42 

75.38 

34.75 

75.22 

35.08 

75.07 

35.41 

74.91 

35.73 

83 

84 

76.59 

34.5o 

76.44 

34.83 

76.28 

35.17 

76.13 

35.5o 

75.97 

35.83 

75.82 

36.16 

84 

85 

77. 5o 

34.91 

77.35 

35.25 

77.19 

35.59 

77-04 

35.92' 

76.88 

36.2  6 

76.72 

36.59 

85 

86 

78.41 

35.32 

78.26 

35.66 

78.10 

36.00 

77-94 

36.35'77.78 

36.66 

77.62 

37.02 

86 

87 

79.32 

35.73 

79.17 

36.o8 

79.01 

36.42 

78.85 

36.77; 

78.69 

37.1 1 

78.52 

37.45 

87 

88 

80.24 

36.14 

80.08 

36.49 

79.92 

36.84 

79.76 

37-'9   79-59 

37.54 

79.43 

37.88 

88 

89 

81. i5 

36.55' 

80.99 

36.91 

80.82 

37.26 

80.66 

37.61  |8o.5o 

37.96 

80.33 

38.32 

89 

90 

82.06 

36.96 

81.90 

37.32 

81.73 

37.68 

81.57 

38. o4  81.40 

38.39 

81.23 

38.75 

90 

91 

82.97 

37.38 

82.81 

37.74 

82.64 

38. 10 

82.47 

38.46'  82.31 

38.82 

82.14 

39.18 

91 

92 

83.88 

37.79 

83.72 

38. i5 

83.55 

38.52 

83.38 

38.88:83.21 

39.24 

83. o4 

39.61 

92 

93 

84.79 

38. 20 

84.63 

38.57 

84.46 

38.94! 

84.29 

39.30  84.11 

39.67 

83.94 

4o.o4 

93 

94 

85.71 

38.6i 

85.54 

38.98 

85.37 

39.35 

85.19 

39.7385.02 

4o.io 

84.84 

40.47 

94 

95 

86.62 

39.02 

86.45 

39.40 

86.27 

39.77 

86.10 

4o.i5 

85.92 

4o.52 

85.75 

40.90 

95 

96 

87.53 

39.43! 

87.36 

39.81 

87.18 

40.19 

87.01 

40.57 

86.83 

40.95 

86.65 

4i.33 

96 

97 

88.44 

39.841 

88.27 

4o.23 

88.09 

4o.6i 

87.91 

40.99  87.73 

41.36 

87.55 

41.76 

97 

98 

89.35 

4o.25 

89.18 

4o.64 

89.00 

4i.o3 

88.82 

41.42,88.64 

41.80 

88.45 

42.19 

98 

99 

90.26 

40.66 

90.09 

4i.o5 

89.91 

41.45 

89.72 

4r.84 '89.54 

42.23 

89.36 

42.62 

99 

100 

a 
to 
Q 

91.18 

41.07 

91.00 

41.47 

90.81 

41.87 

90.63 

42.26  90.45 

42.66 

90.26 

43.o5 

100 

Dep. 

Lat 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

I  At   ii 

Dep.   1    lAt 

Dep.       I.At. 

S 

a 

S 

m 

a 

65% 

Deg. 

65K  Deg. 

651^  Deg. 

65  Deg. 

64%  Deg. 

64^  Deg. 

170 


Tbaveese    Table. 


Distance. 

25%  Deg. 

26  Deg. 

26%  Deg. 

26>^  Deg. 

26%  Deg. 

27  Deg. 

D 
D 

lAt.    1   Dep.   1 

Ul. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep.   j 

Lat.    1    Dep. 

Lat. 

Dep. 

0.90 
1.80 

0.43 

0.90 

0.44 

0.90 

0.44 

0.89 

0.45 

0.89 

0.45 

o.8y 

0.4^ 

I 

2 

0.87 
I  3o 

1.80 

0.88 

1.79 

0.88 

1.79 

0.89 

1.79 

0.90 

1.7b 

0.91 

2 

3 

2.70 
3.60 

2.70 

1.32 

2.69 

1.33 

2.68 

1.34 

2.68 

1.35 

2.67 

1.36 

3 

/ 

1:74 
2.17 

3.60 

1.75 

3.59 

1.77 

3.58 

1.78 

3.57 

1.80 

3.56 

1.82 

4 

5 

4.5o 

4.49 

2.19 

4.48 

2.21 

4.47 

2.23 

4.46 

2.25 

4.45 

2.27 

5 

6 

5.4o 

2.61 

5.39 

2.63 

5.38 

2.65 

5.37 

2.68 

5.36 

2.70 

5.35 

2.72 

6 

7 

8 

6.3o 

3.o4 

6.29 

3.07 

6.28 

3.10 

6.26 

3.12 

6.25 

3.i5 

6.24 

3.18 

7 

7.21 
8.11 

3.48 

7.19 

3.5i 

7.17 

3.54 

7.16 

3.57 

7.14 

3.60 

7.i3 

3.63 

8 

9 

10 

3.91 
4.34 

8.09 

3.95 

8.07 

3.98 

8.o5 

4.02 

8.04 

4.o5 

8.02 

4.09 

9 

9.01 

8.99 

4.38 

8.97 

4.42 

8.95 

4.46 

8.93 

4.5o 

8.91 

4.54 

ID 

II 

9.91 
10.81 

4.78 

9.89 

4.82 

9.87 

4.87 

9.84 

4.91 

9.82 

4.95 

9.80 

4.99 

11 

12 

5.21 

10.79 

5.26 

10.76 

5.3i 

10.74 

5.35 

10.72 

5.4o 

10.69 

5.45 

12 

i3 

II. 71 
12.61 

5.65 

11.68 

5.70 

11.66 

5.75 

11.63 

5.80 

II. 61 

5.85 

11. 5b 

5.90 

i3 

i4 

6.08 

12.58 

6.i4 

12.56 

6.19 

12.53 

6.25 

12. 5o 

6.3o 

12.47 

6.36 

i4 

i5 

i3.5i 

6.52 

i3.48 

6.58 

i3.45 

6.63 

l3.42 

6.69 

13.39 

6.75 

13.37 

6.81 

i5 

i6 

i4.4i 

6.95 

i4.38 

7.01 

i4.35 

7.08 

l4.32 

7.14 

14.29 

7.20 

14.26 

7.26 

16 

17 

i5.3i 

7-39 
7.82; 

i5.28 

7.45 

i5.25 

7.52 

l5.21 

7.59 

i5.i8 

7.65 

i5.i5 

7.72 

17 

18 

16.21 

16.18 

7.89 

16.14 

7.96 

16. 1 1 

8.o3 

16.07 

8.10 

16. o4 

8.17 

18 

19 
20 

17.11 

8.25 

17.08 

8.33 

17.04 

8.4oi 

17.00 

8.48 

16.97 

8.55 

16,93 

8.63 

19 

18.01 

8.69 

17.98 

8.77 

17.94 

8.85 

17.90 

8.92 

17.86 

9.00 

17.82 

9.08 

20 

21 

18.91 

9.12 

18.87 

9.21 

i8.83 

9.29 

18.79 

9.37 

18.75 

9.45 

18.71 

9.53 

21 

22 

19.82 

9.56 

19.77 

9.64 

19.73 

9-73 

19.69 

9.82 

19.65 

9.90 

19.60 

9-99 

22 

23 

20.72 

9-99 

20.67 

10.08 

20. 63 

10.17 

20.58 

10.26 

20.54 

10.35 

20.49 

10.44 

23 

24 

21.62 

10.43 

21.57 

10. 52 

21.52 

10.61 

21.48 

10.71 

21.43 

10.80 

21.38 

10.90 

24 

25 

22.52 

10.86 

22.47 

10.96 

22.42 

11.06 

22.37 

II. i5 

22.32 

11.25 

22.28 

11.35 

25 

26 

23.42 

II. 3o 

23.37 

11.40 

23.32 

ii.5o 

28.27 

11.60 

23.22 

11.70 

23.17 

11.80 

26 

27 

24.32 

11.73 

24.27 

11.84 

24.22 

11.94 

24.16 

12. o5 

24.1  I 

12. i5 

24.06 

12.26 

27 

28 

25.22 

12.16 

25.17 

12.27 

25.11 

12.38 

25.06 

12.49 

25.00 

12.60 

24.95 

12.71 

28 

29 

26.12 

12.60 

26.06 

12.71 

26.01 

12.83 

25.95 

12.94 

25.90 

i3.o5 

25.84 

13.17 

29 

3o 

27.02 

i3.o3 

26.96 

i3.i5 

26.91 

13.27 

26.85 

13.39 

26.79 

i3.5o 

26.73 

13.62 

3o 

3i 

27.92 

13.47 

27.86 

13.59 

27.80 

13.71 

27.74 

i3.83 

27.68 

13.95 

27.62 

14.07 

3i 

32 

28.82 

13.90 

28.76 

i4.o3 

28.70 

i4.i5 

28.64 

14.28 

28.58 

i4.4o 

28.51 

i4.53 

32 

33 

29.72 

14.34 

29.66 

14.47 

29.60 

14.60 

29.53 

14.72 

29.47 

i4.85 

29.40 

14.98 

33 

34 

30.62 

14.77 

30.56 

14.90 

3o.49 

i5.o4 

30.43 

i5.i7 

30.36 

i5.3o 

30.29 

1 5.44 

34 

35 

31.52 

l5.21 

3i.46 

i5.34 

31.39 

i5.48 

31.32 

15.62 

31.25 

15.75 

31.19 

15.89 

35 

36 

32.43 

i5.64 

32.36 

15.78 

32.29 

15.92 

32.22 

16.06 

32. i5 

16.20 

32.08 

16.34 

36 

37 

33.33 

16.07 

33.26 

16.22 

33.18 

16. 36 

33.11 

16. 5i 

33.04 

i6.65 

32.97 

16.80 

37 

38 

34.23 

16. 5i 

34. i5 

16.66 

34.08 

16.81 

34.01 

16.96 

33.93 

17.10 

33.86 

17.25 

38 

39 

35.13 

16.94 

35.o5 

17.10 

34.98 

17.25 

34.90 

17.40 

34.83 

17.55 

34.75 

17.71 

39 

4o 

36.03 

17.38 

35.95 

17.53 

35.87 

17.69 

35.80 

17.85 

35.72 

18.00 

35.64 

18.16 

4o 

4i 

36.93 

17.81 

36.85 

17.97 

36.77 

18. i3 

36.69 

18.29 

36.6i 

18.45 

36.53 

18.61 

4i 

42 

37.83 

18.25 

37.75 

i8.4i 

37.67 

18. 58 

37.59 

18.74 

37.51 

18.90 

37.42 

19.07 

42 

43 

38.73 

18.68 

38.65 

i8.85 

38.57 

19.02 

38.48 

19.19 

38.4o 

19.35 

38. 3i 

19.52 

43 

44 

39.63 

19.12 

39.55 

19.29 

39.46 

19.46 

39.38 

19.63 

39.29 

19.80 

39.20 

19.98 

44 

45 

40.53 

19.55 

40.45 

19.73 

40.36 

19.90 

40.27 

20.08 

40.18 

20.25 

4o.io 

20.43 

45 

46 

41.43 

19.98 

41.34 

20.17 

41.26 

20.35 

41.17 

20.53 

4 1. 08 

20.70 

40.99 

20.88 

1 

46 

47 

42.33 

20.42 

I  42.2/i 

20.60 

42. i5 

20.79 

42.06 

20.97 

41.97 

21. l5 

41.88 

21.34 

47 

48 

43.25 

20.85 

43.14 

21. ol 

43.o5 

21.23 

42.96 

21.42 

42.86 

21  .60 

42.77 

21.79 

48 

49 

44.1:= 

21.29 

44.0/ 

21.48 

43.95 

21.67 

43.85 

21.86 

43.76 

22. 05 

43.66 

22.25 

49 

5o 

45.0^ 

)  21. 72 

i  44.9/ 

I  21.92 

44.84 

Dep. 

22.1  I 

44.75 

22. 3i 

44.65 

22. 5o 

44.55 

22.70 

5o 

0 

a 
5 

Q 

0 

Q 

Dep. 

Lat. 

!    Dep. 

r,iit. 

I,at. 

Dep. 

Lat. 

Dep. 

1    Lat 

Dep.   1    I<at. 

U%  Deg.        64 

Deg. 

1 

Deg. 

631^ 

Deg. 

63%  Deg. 

63  Deg. 

1  B  A^ 

V^ERSE      1 

ABLE. 

17 

5' 

s- 

D 
9 

5i 

1 
25%  Deg. 

26  Deg. 

26%  Deg. 

26%  Deg. 

26%  Deg. 

27  Deg. 

a 
1 

Lat. 

Uep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

0 

45.94 

22.16 

45.84 

22.36 

45.74 

22.56 

45.64 

22.76 

45.54 

22.96 

45.44 

23. i5 

5i 

52 

46.84 

22.59 

46.74 

22.80 

46.64 

23.00 

46.54 

23.20 

46.43 

23.41 

46.33 

23.61 

52 

53 

47.74 

23.o3 

47-64 

23.23 

47.53 

23.44 

47-43 

23.65 

47-33 

23.86 

47.22 

24.06 

53 

54 

48.64 

23.46 

48.53 

23.67 

48.43 

23.88 

48.33 

24.09 

48.22 

24.3l 

48.11 

24.62 

54 

55 

49.54 

23.89 

49.43 

24.11 

49.33 

24.33 

49.22 

24.54 

49.11 

24.76 

49.01 

24.97 

55 

56 

5o.44 

24.33 

5o.33 

24.55 

5o.22 

24.77 

5o.I2 

24.99 

5o.oi 

26.21 

49.90 

26.42 

56 

5? 

5i.34 

24.76 

5i.23 

24.99 

5l.I2 

25.21 

5i.oi 

25.43 

50.90 

26.66 

60.79 

26.88 

57 

58 

58 

62.24 

25.20 

52.13 

25.43 

52. 02 

25.65 

51.91 

25.88 

5i-79 

26.11 

61.68 

26.33 

59 

53.14 

25.63 

53. o3 

25.86 

52.92 

26.09 

52.80 

26.33 

62.69 

26.56 

62.67 

26.79 

27.24 

59 
60 

6o 

54.04 

26.07 

53.93 

26.30 

53.81 

26.54 

53.70 

26.77 

63.58 

27.01 

53.46 

6i 

54.94 

26. 5o 

54.83 

26.74 

54.71 

26.98 

54.59 

27.22 

54.47 

27.46 

54.35 

27.69 

61 

62 

55.84 

26.94 

55.73 

27.18 

55.61 

27.42 

55.49 

27.66 

55.36 

27.91 

65.24 

28.15 

62 

63 

56.74 

27.37 

56.62 

27.62 

56.5o 

27.86 

56.38 

28.11 

56.26 

28.36 

56.13 

28.60 

63 

64 

57.64 

27.80 

57.52 

28.06 

57.40 

28.31 

57.28 

28.56 

67.16 

28.81 

67.02 

29,06 
29.61 

64 

65 

58.55 

28.24 

58.42 

28.49 

58.3o 

28.75 

58.17 

29.00 

58.04 

29.26 

67.92 

65 

66 

59.45 

28.67 

59.32 

28.93 

59.19 

29.19 

59.07 

29.45 

58.94 

29.71 

58.8i 

29.96 

66 

67 

60.35 

29.1 1 

60.22 

29.37 

60.09 

29.63 

59.96 

29.90 

59.83 

3o.i6 

69.70 

3o.42 

67 

68 

61.25 

29.54 

6l.I2 

29.81 

60.99 

3o.o8 

60.86 

3o.34 

60.72 

3o.6i 

60.69 

30.87 

68 

69 

62.15 

29.98 

62.02 

30.25 

61.88 

3o.52 

61.75 

30.79 

61.62 

3i.o6 

61.48 

31.33 

69 

70 

63.o5 

3o.4i 

62.92 

30.69 

62.78 

30.96 

62.65 

3i.23 

62.61 

3i.5i 

62.37 

31.78 

70 

71 

63.95 

3o.85 

63.8i 

3l.I2 

63.68 

3i.4o 

63.54 

31.68 

63.4o 

31.96 

63.26 

32.23 

71 

72 

64.85 

31.28 

64.71 

31.56 

64.57 

3i.84 

64.44 

32.13 

64.29 

32.4l 

64. i5 

32.69 

1 

72 

73 

65.75 

3i.7i 

65.6i 

32.00 

65.47 

32.29 

65.33 

32.57 

66.19 

32.86 

65.04 

33.14 

73 

74 

66.65 

32. i5 

66. 5i 

32.44 

66.37 

32.73 

66.23 

33.02 

66.08 

33. 3i 

66.93 

33.60 

74 

75 

67.55 

32.58 

67.41 

32.88 

67.27 

33.17 

67.12 

33.46 

66.97 

33.76 

66.83 

34.05 

75 

76 

68.45 

33.02 

68.3i 

33.32 

68.16 

33.61 

68.01 

33.91 

67.87 

34.21 

67.72 

34.5o 

76 

77 

69.35 

33.45 

69.21 

33.75 

69.06 

34.06 

68.91 

34.36 

68.76 

34.66 

68.61 

34.96 

77 

78 

70.25 

33.89 

70.11 

34.19 

69.96 

34.5o 

69.80 

34.80 

69.66 

35.11 

69.60 

36.4i 

78 

79 

71.16 

34.32 

71.00 

34.63 

70. 85 

34.94 

70.70 

35.25 

70.55 

36.66 

70.39 

35.87 

79 

80 

72.06 

34.76 

71.90 

35.07 

71.75 

35.38 

71.59 

35.70 

71.44 

36.01 

71.28 

36.32 

80 

81 

72.96 

35.19 

72.80 

35. 5i 

72.65 

35.83 

72.49 

36.14 

72.33 

36.46 

72.17 

36.77 

81 

82 

73.86 

35.62 

73.70 

35.95 

73.54 

36.27 

73.38 

36.59 

73.22 

36.91 

73.06 

37.23 

82 

83 

74.76 

36.06 

74.60 

36.38 

74.44 

36.71 

74.28 

37.03, 

74.12 

37.36 

73.96 

37.68 

83 

84 

75.66 

36.49 

75.50 

36.82 

75.34 

37.15 

75.17 

37.48 

76.01 

37.81 

74.84 

38.14 

84 

85 

76.56 

36.93 

76.40 

37.26 

76.23 

37.59 

76.07 

37.93 

76.90 

38.26 

76.74 

38.69 

85 

86 

77.46 

37.36 

77.30 

37.70 

77. i3 

38.04 

76.96 

38.37   76.80 

38.71 

76.63 

39.04 

86 

87 

78.36 

37.80 

78.20 

38.14 

78.03 

38.48 

77.86 

38.82  177.69 

39.16 

77.62 

39.60 

87 

88 

79.26 

38.23 

79.09 

38.58 

78.92 

38.92 

78.75 

39.27178.58 

39.61 

78.41 

39.96 

88 

89 

80.16 

38.67 

79-99 

39.01 

79.82 

39.36 

79-65 

39.71    79.48 

4o.o6 

79.30 

4o.4i 

89 

90 

81.06 

39.10 

80.89 

39.45 

80.72 

39.81 

80.54 

40.16  80.37 

40.61 

80.19 

40.86 

90 

91 

81.96 

39.53 

81.79 

39.89 

81.62 

4o.25 

81.44 

1 
4o.6o  81.26 

40.96 

81.08 

4i.3i 

91 

92 

82.86 

39.97 

82.69 

40.33 

82.51 

40.69 

82.33 

4i.o5  82.15 

4i.4i 

81.97 

41.77 

92 

93 

83.76 

4o.4o 

83.59 

40.77 

83.41 

4i.i3 

83.23 

4i.5o 

83.05 

41.86 

82.86 

/o  .22 

93 

94 

84.67 

40.84 

84.49 

4l-2I 

84.3i 

41.58 

84.12 

41.94 

83.94 

42. 3i 

83.75 

42.68 

94 

95 

85.57 

41.27 

85.39 

41.65 

85.20 

42.02 

85.02 

42.39 

84.83 

42.76 

84.65 

43.13 

95 

96 

86.47 

41.71 

86.28 

42.08 

86.10 

42.46 

85.91 

42.83 

85.73 

43.21 

85.54 

43.58 

96 

97 

87.37 

42.14 

87.18 

42.52 

87.00 

42.90 

86.81 

43.28  86.62 

43.66 

86.43 

44.04 

97 

98 

88.27 

42.58 

88.08 

42.96 

87.89 

43.34 

87.70 

43.73  87.51 

44.11 

87.32 

44.49 

98 

99 

89.17 

43.01 

88.98 

43.40 

88.79 

43.79 

88.60 

44.17  88.4o 

44.56 

88.21 

44.95 

99 

100 

6 

□ 

3 
en 

a 

90.07 

43.44 

89.88 

43.84 

89. G9 

44.23 

89.49 

44.62   89.30 

45.01 

89.10 

45.40 

100 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

I.at.    il 

Dep.  1 

Lat. 

Dep. 

Lat. 

a 

s 

Q 

u% 

Deg. 

64  Deg. 

63%  Deg. 

631^  Deg. 

63>^  Deg. 

63  Deg. 

172 


Traverse    Table. 


2 

Eo' 

§ 

8 

37KDcg. 

27^  Deg. 

27%  Deg. 

28  Deg. 

28K  Deg. 

28^  Deg. 

0 

3 
* 

I-ai. 

Uep.    j 

Lat. 

I)ep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

I 

0.89 

1.78 
2.67 
3.56 

1 

0.46 

0.89 

0.46 

0.88 

0.47 

0.88 

0.47 

0.88 

0.47 

0.88 

0.48 

1 

2 

0.92 

1.37 
1.83 

1.77 

0.92 

1.77 

0.93 

1.77 

0.94 

1.76 

0.95 

1.76 

0.95 

2 

3 

2.66 

1.39 

2.65 

i.4o 

2.65 

i.4i 

2.64 

1.42 

2.64 

1.43 

3 

4 

3.55 

1.85 

3.54 

1.86 

3.53 

1.88 

3.52 

1.89 

3.52 

I.91 

4 

5 

4.45 

2.29 

4.44 

2.3l 

4.42 

2.33 

4.4i 

2.35 

4.4o 

2.37 

4.39 

2.39 

5 

6 

5.33 

2.75 

5.32 

2.77 

5.3i 

2.79 

5.3o 

2.82 

5.29 

2.84 

5.27 

2.86 

6 

7 
8 

6.22 

3.21 

6.21 

3.23 

6.19 

3.26 

6.18 

3.29 

6.17 

3.3i 

6.i5 

3.34 

7 

7.11 

3.66 

7.10 

3.69 

7.08 

3.72 

7.06 

3.76 

7.o5 

3.79 

7.03 

3.82 

8 

9 

10 

8.00 

4.12 

7.98 

4.16 

7.96 

4.19 

7.95 

4.23 

7.93 

4.26 

7.91 

4.29 

9 

8.89 

4.58 

8.87 

4.62 

8.85 

4.66 

8.83 

4.69 

8.81 

4.73 

8.79 

4.77 

10 

II 

9.78 

5.o4j 

9.76 

5.08 

9.73 

5.12 

9.71 

5.16 

9.69 

5.21 

9.67 

5.25 

II 

12 

10.67 

5.49 

10. 64 

5.54 

10.62 

5.59 

10.60 

5.63 

10.57 

5.68 

10.55 

5.73 

12 

i3 

11.56 

5.95; 

6.4i 

11.53 

6.00 

I  i.5o 

6.o5 

11.48 

6.10 

11.45 

6.i5 

11.42 

6.20 

i3 

i4 

12.45 

12.42 

6.46 

12.39 

6.52 

12.36 

6.57 

12.33 

6.63 

12. 3o 

6.68 

i4 

i5 

i3.34 

6.87,13.31 

6.93 

13.27 

6.98 

l3.24 

7.04 

l3.21 

7.10 

i3.i8 

7.16 

i5 

i6 

14.22 

7.33'  14.19 

7.39 

14.16 

7.45 

i4.i3 

7.5i 

14.09 

7.57 

i4.o6 

7.63 

16 

I? 

i5.ii 

7.78   i5.o8 

7.85 

i5.o4 

7.92 

1 5.0 1 

7.98 

14.98 

8.o5 

14.94 

8.11 

17 

i8 

16.00 

8.24 

15.97 

8.3i 

15.93 

8.38 

15.89 

8.45 

i5.86 

8.52 

15.82 

8.59 

18 

'9 

16.89 

8.70 

16. 85 

8.77 

16.81 

8.85 

16.78 

8.92 

16.74 

8.99 

16.70 

9.07 

19 

20 

17.78 

9.16 

17.74 

9.23 

17.70 

9.3i 

17.66 

9.39 

17.62 

9.47 

17.58 

9.54 

20 

21 

18.67 

q.62 

i8.63 

9.70 

i8.58 

9.78 

18.54 

9.86 

18. 5o 

9.94 

18.46 

10.02 

21 

22 

19.56 

7 

10.07 

19.51 

10.16 

19.47 

10.24 

19.42 

10.33 

19.38 

10. 4i 

19.33 

10. 5o 

22 

23 

20.45 

10.53 

20.40 

10.62 

20.35 

10.71 

20. 3i 

10.80 

20.26 

10.89 

20.21 

10.97 

23 

24 

21.34 

10.99 

21.29 

11.08 

21.24 

11.17 

21.19 

11.27 

21. i4 

11.36 

21.09 

11.45 

24 

25 

22.23 

11.45 

22.18 

11.54 

22.12 

11.64 

22.07 

11.74 

22.02 

11.83 

21.97 

11.93 

25 

26 

23.1  I 

1 1.90 

23.06 

12.01 

23.01 

12. II 

22.96 

12.21 

22.90 

12. 3i 

22.85 

12. 4i 

26 

27 

24.00 

12.36 

23.95 

12.47 

23.89 

12.57 

23.84 

12.68 

23.78 

12.78 

23.73 

12.88 

27 

28 

24.89 

12.82 

24.84 

12.93 

24.78 

i3.o4 

24.72 

i3.i5 

24.66 

i3.25 

24.61 

i3.36 

28 

29 

25.78 

13.28 

25.72 

13.39 

25.66 

i3.5o 

25.61 

i3.6i 

25.55 

13.73 

25.49 

i3.84 

29 

3o 

26.67 

13.74 

26.61 

i3.85 

26.55 

13.97 

26.49 

i4.o8 

26.43 

l4.20 

26.36 

i4.3i 

3o 

3i 

27.56 

14.19 

27.50 

i4.3i 

27.43 

14.43 

27.37 

14.55 

27.31 

14.67 

27.24 

14.79 

3i 

32 

28.45 

i4.65 

28.38 

14.78 

28.32 

14.90 

28.25 

l5.02 

28.19 

i5.i5 

28.12 

15.27 

32 

33 

29.34 

i5.ii 

29.27 

1 5.24 

29.20 

15.37 

29.14 

i5.49 

29.07 

15.62 

29.00 

15.75 

33 

34 

3o.23 

15.57 

3o.i6 

15,70 

30.09 

i5.83 

3o.02 

15.96 

29.95 

16.09 

29.88 

16.22 

34 

35 

3l.I2 

i6.o3 

3i.o5 

16.16 

30.97 

i6.3o 

30.90 

16.43 

30.83 

16.57 

30.76 

16.70 

35 

36 

32.00 

16.48 

31.93 

16.62 

31.86 

16.76 

31.79 

16.90 

31.71 

17.04 

3 1.64 

17.18 

36 

37 

32.89 

16.94 
17.40 

32.82 

17.08 

32.74 

17.23 

32.67 

17.37 

32.59 

17.51 

32.52 

17.65 

37 

38 

33.78 

33.71 

17.55 

33.63 

17.69 

33.55 

17.84 

33.47 

17.99 

33.39 

i8.i3 

38 

39 

34.67 

17.86 

34.59 

18.01 

34.5i 

18.16 

34.43 

18. 3i 

34.35 

18.46 

34.27 

18.61 

39 

4o 

35.56 

18. 3i 

35.48 

18.47 

35.40 

18.62 

35.32 

18.78 

35.24 

18.93 

35.15 

19.09 

4o 

4i 

36.45 

18.77 

36.37 

18.93 

36.28 

19.09 

36.20 

19.25 

36.12 

19.41 

36.03 

19.56 

4i 

42 

37.34 

19.23 

37.25 

19.39 

37.17 

19.56 

37.08 

19.72 

37.00 

19.88 

36.91 

20. o4 

42 

43 

38.23 

19.69 

38.14 

19.86 

38.o5 

20.02 

37.97 

20.19 

37.88 

20.35 

37.79 

20.52 

43 

44 

39.12 

20. i5 

;  39.03 

20.32 

38.94 

20.49 

38.85 

20.66 

38.76 

20.83 

38.67 

20.99 

44 

45 

4o.oi 

20.60 

1 

39.92 

20.78 

39.82 

20.95 

39.73 

21. i3 

39.64 

21. 3o 

39.55 

21.47 

45 

46 

40.89 

21.06 

^  40.80 

21.24 

40.71 

21.42 

40.62 

21.60 

4o.52 

21.77 

40.43 

21.95 

46 

47 

41.7*^ 

21.52 

41.69 

'21.70 

41.59 

21.88 

4i.5o 

22.07 

4i.4o 

22.25 

4i.3o 

22.43 

47 

48 

42.67 

21.98 

42.58 

22.16 

42.48 

22.35 

42.38 

22.53 

42.28 

22.72 

42.18 

22.90 

48 

49 

43. 5e 

22. 4-^ 

43.46 

22.63 

43.36 

22.82 

43.26 

23.00 

43.16 

23.19 

43.06 

23.38 

49 

5o 

V 

u 

a 
2 

Q 

44.45 

22.89 
I,at. 

44.35 

23.09 

I,at. 

44.25 

Dep. 

23.28 

44.15 

23.47 

44.04 

23.67 

43.94 
Dep. 

23.86 

5o 

Dep. 

Dep. 

Lat 

Dep. 

Lat. 

Dep. 

Lat. 

Lat. 

c5 
u 

a 
i2 

CO 

15 

62%  Deg. 

Q2}4  Deg. 

62M  Deg. 

62 

Deg.       61%  Deg. 

611.^  Deg. 

Teavekse 


T  A  B  L  E. 


173 


27%  Deg. 


Lat. 


45.34 
46.23 


54.23 
55.12 
56. 01 
56.90 

57-79 


Dep. 


25.64 


71  63.12 

72  64.01 

73  64.90 

74  65.79 

75  66.68 

67.57 
68.45 
69.34 


32. 5i 
32.97 

33.42 
33.88 
34.34 

34.80 
35.26 
35.71 
36.17 
36.63 


27}i  Deg. 


Lat.        Uep 


45.24 
46.12 

47.01 
47-90 

48.79 


23.55, 

24.01 

24.47 

24.93' 

25.4o 

25.86! 
26.32 
26.78 
27.24 
27.70 

28.17 
28.63 


92 


54.11 
54.99 
55.88 
56.77 
57.66 

58.54 
59.43 
60.32 
61.20 
62.09 


62.98  32.78 

63.86 

64.75 

65.64 

66.53 

35.09 
35.55 
36.02 
36.48 
36.94 


76.46  39.38 
77.34  39.83 
78.23 
79.12 
80.01 

80.90 

81.79 
82.68 
83.57 
84.46 


85.35 
86.23 
87.12 
88.01 
88.90 


27%  Deg. 


Lat. 


Uep. 


45.13 

46.02 

46.90 

47-79 
48.67 

49.56 

5o.44 
5i.33 

52.21 
53.10 

53.98 

54.87 
55.75 

56.64 
57.52 

58.4i 
59.29 
60.18 
61.06 
61.95 


.10 


26.07 
26.54 
27.01 

27.47 
27.94 


28  Deg. 


Lat.        Dep. 


45.03 
45.91 
46.80 
47-68 

48.56 

49.45 
5o.33 

5l.2I 

52.09 

52.98 

53.86 

54.74 
55.63 
56. 5i 
57.39 

58.27 
59.16 
60. o4 
60.92 
61.81 

62.69 
63.57 
64.46 
65.34 
66.22 


23.94 
24.41 
24.88 
25.35 
25.82 


28.64 
29.1 1 
29.58 
3o.o5 
3o.52 


35.39 
35.85 
36.32 
36.78 
37.25 


79.83  4i.56 

42.02 

42.48 
42.94 
43.40 
43.87 


Dep. 


Lat. 


85.15 
86.04 
86.93 
87.81 
88.70 

Dep. 


35.21 


Lat.       Dep, 

24.14 
24.61 
25.09 
25.56 
26.03 


44.33 

44.79 
45.25 
45.71 
46.17 

Lat. 


Des. 


621^  Deff. 


71.68 
72.57 
73.45 
74.34 
75.22 

76.11 
76.99 
77.88 
78.76 
79.65 


42.37 
42.84 
43. 3o 

43.77 
44.23 

84.96  44.70 
45.161 
45.63| 
46.10 
46.56 

Lat. 


85.84 
86.73 
87.61 
88.5o 

Dep. 


71.52 
72.40 
73.28 

74.17 
75.05 

75.93 
76.82 
77.70 
78.58 
79-47 


62%  Deg. 


Dep. 


40.37 

4o.84l 
4i.3i 

41.78 

42.25 

42.72 

43.19 
43.66 
44.13 
44.60 

45.07 
45.54 
46.01 
46.48 
46.95 


44.93 
45.81 
46.69 

47.57 
48.45 

49.33 
5o.2i 
51.09 

5 '-97 
52.85 

53.73 
54.62 
55. 5o 
56.38 
57.26 

58.14 
59.02 
59.90 
60.78 
61.66 

62.54 
63.42 
64. 3o 
65.19 
66.07 

66.95 
67.83 
68.71 
69.59 
70.47 

71.35 
72.23 
73.11 
73.99 

74.88 

75.76 
76.64 
77.52 
78.40 
79.28 


283^  Deg. 


26. 5i 
26.98 
27.45 
27.93 
28.40 


Lat.    I 

44.82! 
45.70 

46.58 
47-46 
48.33 

49.21 
50.09 
50.97 
5 1. 85 
52.73 

53.61 

54.49 
55.37 
56.24 
57.12 

58.00 
58.88 
59.76 
60.64 
61.52 


60 


70 


40.71 
4i.i8 
41.65 
42. i3 
42.60 


Lat. 


82.80 
83.68 

84.57 
85.45 
86.33 
87.21 
88.09 


Dep. 


45.44 
45.91 
46.39 
46.86 
47^33 

"Lat. 


62  Deg. 


61%  Deg. 


66.79 
67.67 
68.55 
69.43 
70.31 

71.18 
72.06 
72.94 
73.82 

74.70 

75.58 
76.46 
77.34 
78.21 

79-09 

79-97 
80.85 
81.73 
82.61 
83.49 

84.37 
85.25 
86.12 
87.00 
87. 


33.88 
34.36 
34.83 
35.3i 
35.79 

36.26 
36.74 
37.22 

37.70 
38.17 

38.65 
39.13 
39.60 
40.08 
4o.56 

4i.o4 
4i.5i 

41.99 
42.47 
42.94 

43.42 
43.90 
44.38 
44.85 
45.33 

45.81 
46.28 
46.76 
47.24 
47-72 


Dep.   I    Lat 

61K  Deg. 


90 


174 


Traverse    Table. 


5 
s 

S 

a 
a 

I 

28%  Deg. 

29  Deg. 

29%  Deg. 

29>i  Deg. 

29%  Deg. 

30  Deg. 

g 

» 

a 
a 

Q 
I 

I, at. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat.    1    Dep. 

l>at. 

Dep. 

0.88 

0.48 

0.87 

0.48 

0.87 

0.49 

0.87 

0.49 

0.87 

o.5o 

0.87 

o.5o 

2 

1.75 

0.96 

1.75 

0.97 

1.74 

0.98 

1.74 

0.98 

1.74 

0.99 

1.73 

1.00 

0 

3 

2.63 

1.44 

2.62 

1.45 

2.62 

1.47 

2.61 

1.48 

2.60 

1.49 

2.60 

i.5o 

3 

4 

3.5i 

1.92 

3.5o 

1.94 

3.49 

1.95 

3.48 

1.97 

3.47 

1.98 

3.46 

2.00 

4 

5 

4.38 

2.4o 

4.37 

2.42 

4.36 

2.44 

4.35 

2.46 

4.34 

2.48 

4.33 

2.5o 

5 

6 

5.26 

2.89 

5.25 

2.91 

5.23 

2.93 

5.22 

2.95 

5.21 

2.98 

5.20 

3.00 

6 

7 
8 

6.i4 

3.37 

6.12 

3.39 

6. II 

3.42 

6.09 

3.45 

6.08 

3.47 

6.06 

3.5o 

7 

7.01 

3.85 

7.00 

3.88 

6.98 

3.91 

6.96 

3.94 

6.95 

3.97 

6.93 

4.00 

8 

9 

7.89 

4.33 

7.87 

4.36 

7.85 

4.4o 

7.83 

4.43 

7.81 

4.47 

7.79 

4.5o 

9 

7 

10 

8.77 

4.81 

8.75 

4.85 

8.72 

4.89 

8.70 

4.92 

8.68 

4.96 

8.66 

5.00 

10 

II 

9-64 

5.29 

9.62 

5.33 

9.60 

5.37 

9.57 

5.42 

9.55 

5.46 

9.53 

5.5o 

II 

12 

10.52 

5.77 

10. 5o 

5.82 

10.47 

5.86 

10.44 

5.91 

10.42 

5.95 

10.39 

6.00 

12 

i3 

I  i.4o 

6.25 

11.37 

6.3o 

11.34 

6.35 

II. 3i 

6.40 

11.29 

6.45 

1 1.26 

6.5o 

i3 

i4 

12.27 

6.73 

12.24 

6.79 

12.21 

6.84 

12.18 

6.89 

12. i5 

6.95 

12.12 

7.00 

i4 

i5 

i3.i5 

7.21 

l3.I2 

7.27 

i3.o9 

7.33 

1 3.06 

7.39 

1 3.02 

7.44 

12.99 

7.5o 

i5 

i6 

i4.o3 

7.70 

13.99 

7.76 

13.96 

7.82 

13.93 

7.88 

13.89 

794 

i3.86 

800 

16 

'7 

14.90 

8.i8 

14.87 

8.24 

i4.83 

8.3i 

14.80 

8.37 

14.76 

8.44 

14.72 

8.5o 

17 

i8 

15.78 

8.66 

15.74 

8.73 

15.70 

8.80 

15.67 

8.86 

i5.63 

8.93 

15.59 

9.00 

18 

19 

16.66 

9.14 

16.62 

9.21 

16.58 

9.28 

16.54 

9.36 

16. 5o 

9.43 

16.45 

9.5o 

19 

20 

17.53 

9.62 

17.49 

9.70 

17.45 

9-77 

17.41 

9.85 

17.36 

9.92 

17.32 

10.00 

20 

21 

18.41 

10.10 

18.37 

lo.iS 

18.32 

10.26 

18.28 

10.34 

18.23 

10.42 

18.19 

10. 5o 

21 

22 

19.29 

10. 58 

19.24 

10.67 

19.19 

10.75 

19.15 

I0.83 

19.10 

10.92 

19.05 

1 1.00 

22 

23 

20.16 

11.06 

20.12 

I  i.i5 

20.07  11.24 

20.02 

11.33 

19.97 

1 1. 4 1 

19.92 

I  i.5o 

23 

24 

2I.o4 

11.54 

20.99 

11.64 

20.94 

11.73 

20.89 

11.82 

20.84 

II. 91 

20.78 

12.00 

24 

25 

21.92 

12.02 

21.87 

12.12 

21.81 

12.22 

21.76 

I2.3l 

21.70 

12.41 

21.65 

12. 5o 

25 

26 

22.79 

12. 5i 

22.74 

12.60 

22.68 

12.70 

22.63 

12.80 

22.57 

12.90 

22.52 

1 3.00 

26 

27 

23.67 

12.99 

23.61 

13.09 

23.56 

13.19 

23. 5o 

i3.3o 

23.44 

i3.4o 

23.38 

i3.5o 

27 

28 

24.55 

13.47 

24.49 

13.57 

24.43 

i3.68 

24.37 

13.79 

24. 3i 

13.89 

24.25 

14.00 

28 

29 

25.43 

13.95 

25.36 

i4.o6 

25. 3o 

14.17 

25.24 

14.28 

25.18 

14.39 

25.11 

i4.5o 

29 

3o 

26.30 

14.43 

26.24 

14.54 

26.17 

14.66 

26.11 

14.77 

26.05 

14.89 

25.98 

i5.oo 

3o 

3i 

27.18 

14.91 

27.1 1 

i5.o3 

27.05 

i5.i5 

26.98 

15.27 

26.91 

i5.38 

26.85 

i5.5c) 

3i 

32 

28.06 

15.39 

27.99 

i5.5i 

27.92 

i5.64 

27.85 

15.76 

27.78 

i5.88 

27.71 

16. oc 

32 

33 

28.93 

15.87 

28.86 

16.00 

28.79 

16.12 

28.72 

16.25 

28.65 

16.38 

28.58 

16. 5o 

33 

34 

29.81 

t6.35 

29.74 

16.48 

29.66 

16.61 

29.59 

16.74 

29.52 

16.87 

29.44 

17.00 

34 

35 

30.69 

i6.83 

3o.6i 

16.97 

3o.54 

17.10 

30.46 

17.23 

30.39 

17.37 

3o.3i 

17.50 

35 

36 

31.56 

17.32 

3 1. 49 

17.45 

3i.4i 

17.59 

31.33 

17.73 

31.26 

17.86 

3i.i8 

18.00 

36 

37 

32.44 

17.80 

32.36 

17.94 

32.28 

18.08 

32.20 

l8.22 

32.12 

18. 36 

32. o4 

18. 5o 

37 

38 

33.32 

18.28] 

33.24 

18.42 

33. i5 

18.57 

33.07 

18.71 

32.99 

18.86 

32.91 

19.00 

38 

39 

34.19 

18.76; 

34.11 

18.91 

34.03 

19.06 

33.94 

19.20 

33.86 

19.35 

33.77 

19.50 

39 

4o 

35.07 

19.24 

34.98 

19.39 

34.90 

19.54 

34.81 

19.70 

34.73 

19.85 

34.64 

20.00 

4o 

4i 

35.95 

19.72 

35.86 

19.88 

35.77 

20. o3 

35.68 

20.19 

35.60 

20.34 

35. 5i 

20. 5o 

4i 

42 

36.82 

20.20 

36.73 

20. 36 

36.64 

20.52 

36.55 

20.68 

36.46 

20.84 

36.37 

21.00 

42 

43 

37.70 

20.68 

37.61 

20.85 

37.52 

21.01 

37.43 

21.17 

37.33 

21.34 

37.24 

21. 5o 

43 

44 

38.58 

21.16 

38.48 

21.33 

38.39 

21. 5o 

38. 3o 

21.67 

38. 20 

21.83 

38.11 

22.00 

44 

45 

39.45 

21.64 

39.36 

21.82 

39.26 

21.99 

39.17 

22.16 

39.07 

22.33 

38.97 

22. 5o 

45 

46 

40.33 

22. i3 

4o.23 

22. 3o 

4o.i3 

22.48 

4o.o4 

22.65 

39.94 

22.83 

39.84 

23.00 

46 

47 

4 1. 2 1 

22.61 

4i.i  I 

22.79 

4i.oi 

22.97 

40.91 

23.14 

4o.8i 

23.32 

40.70 

23. 5o 

47 

48 

42.08 

23.09 

41.98 

23.27 

4i.88 

23.45 

41.78 

23.63 

41.67 

23.82 

41.57 

24.00 

48 

49 

42.96 

23.57 

42.86 

23.76 

42.75 

23.94 

42.65 

24. i3 

42.54 

24. 3i 

42.44 

24. 5o 

49 

5o 

43.84 

24. o5 

43.73 

24.24 

43.62 

24.43 

43.52 

24.62 

43.41 

24.81 

43.3o 

25.00 

5o 

g 
1 

CO 

0 

□ 

m 
Q 

nep. 

Lat. 

Dep. 

Lat. 

Dep.    1    Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep.    1    Lat. 

61%  Deg. 

611 

)eg. 

Q0%  Deg. 

601^  Deg. 

60%  Deg. 

60  Deg. 

Traverse    Table. 


175 


a 
1 
i 

28%  Deg. 

29  Deg. 

291^  Deg. 

29M  Deg. 

29%  Deg. 

i 

30  Deg. 

g 
5i 

Lat. 

Dep. 

Lat. 

Dep. 

Lat.    1   Dep. 

Lat. 

Dep. 

25.11 

Lat. 

44.28 

Dep. 

Lat. 

Dep. 
25. 5o 

5i 

44.71 

24.53 

44.61 

24.73 

44. 5o  24.92 

44.39 

25. 3i 

44.17 

52 

45.59 

25. 01 

45.48 

25.21 

45.3725.41 

45.26 

25.61 

45.15 

25.80 

45.o3 

26.00 

52 

53 

46.47 

25.49 

46.35 

25.69 

46  24  25.90 

46.13 

26.10 

46.01 

26. 3o 

45.90 

26.50 

53 

54 

47-34 

25.97 

47.23 

26.18 

47.11  26.39 

47.00 

26.59 

46.88 

26.80 

46.77 

27.00 

54 

55 

48.22 

26.45 

48.10 

26.66 

47.99  26  87 

47.87 

27.08 

47.75 

27.29 

47.63 

27.50 

55 

56 

49.10 

26.94 

48.98 

27.15 

48.86  27.36 

48.74 

27.58 

48.62 

27.79 

48.5o 

28.00 

56 

5? 

49.97 

27.42 

49.85 

27.63 

49.73  27.85 

49.61 

28.07 

49.49 

28.28 

49-36 

28.50 

57 

58 

5o.85 

27.90I 

50.73 

28.12 

5o.6o  28.34 

5o.48 

28.56 

5o.36 

28.78 

5o.23 

29.00 

58 

59 

51.73 

28.38 

5i.6o 

28.60 

5i.48  28.83 

5i.35 

29.05 

5l.22 

29.28 

5i.io 

29.50 

59 

6o 

52.60 

28.86 

52.48 

29.09 

52.35  29.32 

52.22 

29.55 

52.09 

29.77 

51.96 

3o.oo 

60 

6i 

53.48 

29.34 

53.35 

29.57 

53.22  29.81 

53,09 

3o.o4 

52.96 

30.27 

52.83 

3o.5o 

61 

62 

54.36 

29.82 

54.23 

3o.o6 

54.09  30.29 

53.96 

3o.53 

53.83 

30.77 

53.69 

3 1,00 

62 

63 

55.23 

3o.3o 

55. lo 

30.54' 

54.97  30.78 

54.83 

3l.02 

54.70 

31.26 

54.56 

3i.5o 

63 

64 

56.11 

30.78 

55.98 

3i.o3 

55.84  31.27 

55,70 

31.52 

55.56 

31.76 

55.43 

32. 00 

64 

65 

56.99 

31.26 

56.85 

3i.5i 

56.71 

31.76 

56.57 

32,OI 

56.43 

32.25 

56.29 

32, 5o 

65 

66 

57.86 

31.75 

57.72 

32.00 

57.58 

32.25 

57-44 

32. 5o 

57.30 

32.75 

57.16 

33.00 

66 

67 

58.74 

32.23 

58. 60 

32.48| 

58.46 

32.74 

58.31 

32.99 

58.17 

33.25 

58.02 

33.5o 

67 

68 

59.62 

32.71 

59.47 

32.97,  59.33 

33.23 

59.18 

33.48 

59.04 

33.74 

58.89 

34.00 

68 

69 

60.49 

33.19 

60.35 

33.45   60.20 

33.71 

6o.o5 

33.98 

59.91 

34.24 

59.76 

34.5o 

69 

70 

61.37 

33.67 

61.22 

33.94' 

61.07 

34.20 

60.92 

34.47 

60.77 

34.74 

60.62 

35.00 

70 

71 

62.25 

34. i5 

62.10 

34.42 

61.95 

34.69 

61,80 

34.96 

61.64 

35.23 

61.49 

35.5o 

71 

72 

63.12 

34.63 

62.97 

34.91 

62.82 

35.18 

62.67 

35.45 

62.51 

35.73 

62.35 

36. 00 

72 

73 

64.00 

35.11 

63.85 

35.39 

63.69 

35.67 

63.54 

35.95 

63.38 

36.22 

63.22 

36.5o 

73 

74 

64.88 

35.59 

64.72 

35.88 

64-56 

36.16 

64.41 

36.44 

64.25 

36.72 

64.09 

37.00 

74 

75 

65.75 

36.07 

65. 60 

36.36 

65.44 

36.65 

65.28 

36.93 

65.11 

37.22 

64.95 

37.50 

75 

76 

66.63 

36.56 

66.47 

36.85 

66.3i 

37.14 

66.i5 

37.42 

65.98 

37.71 

65.82 

38.00 

76 

77 

67.51 

37.04 

67.35 

37.33  167.18 

37.62 

67.02 

37.92 

66.85 

38.21 

66.68 

38.5o 

77 

78 

68.38 

37.52 

68.22 

37.82 

68. o5 

38.11 

67.89 

38.41 

67.72 

38.70 

67.55 

39.00 

78 

79 

69.26 

38. 00 

69.09 

38. 3o 

68.93 

38.6o 

68.76 

38.90 

68.59 

39.20 

68.42 

39.50 

79 

80 

70.14 

38.48 

69.97 

38.78 

69.80 

39,09 

69,63 

39.39 

69.46 

39.70 

69.28 

4o,oo 

80 

8i 

71.01 

38.96 

70.84 

39.27 

70,67 

39.58 

70. 5o 

39.89 

70.32 

40.19 

70.15 

4o.5o 

81 

82 

71.89 

39.44 

71.72 

39.75 

71.54 

40.07 

71.37 

40.38 

71.19 

40.69 

71.01 

4i.oo 

82 

83 

72.77 

39.92 

72.59 

40.24 

72.42 

4o.56| 

72.24 

40.87 

72.06 

41.19 

71.88 

4i.5o 

83 

84 

73.64 

4o.4o 

73.47 

40.72 

73.29 

4i.o4' 

73.11 

4i.36 

72.93 

41.68 

72.75 

42.00 

84 

85 

74.52 

40.88 

74.34 

4l.21 

74.16 

41.53 

73.98 

41.86 

73.80 

42.18 

73.61 

42. 5o 

85 

86 

75.40 

41.36 

75.22 

41.69 

75.03 

42.02 

74.85 

42.35 

74.67 

42.67 

74.48 

43.00 

86 

S7 

76.28 

41.85 

76.09 

42.18 

75.91 

42. 5i 

75.72 

42.84 

75.53 

43.17 

75.34 

43. 5o 

87 

88 

77.15 

42.33 

76.97 

42.66 

76.78 

43.00 

76.59 

43.33 

76.40 

43.67 

76.21 

44.00 

88 

89 

78.03 

42.81 

77-84 

43. i5 

77-65 

43.49' 

77-46 

43.83 

77.27 

44.16 

77.08 

44.5o 

89 

90 

78.91 

43.29 

78.72 

43.63 

78.52 

43.98 

78.33 

44.32 

78.14 

44.66 

77-94 

45,00 

90 

91 

79  78 

43.77 

79.59 

44.12 

79-4o 

44.46 

79.20 

44.81 

79.01 

45.16 

78.81 

45.5o 

91 

92 

80.66 

44.25 

80.46 

44.60 

80,27 

44.951 

80.07 

45.3o 

79.87 

45.65 

79.67 

46.00 

92 

93 

81.54 

44.73 

81.34 

45.09 

81, i4 

45.44 

80.94 

45.80 

80.74 

46.i5 

80.54 

46.5o 

93 

94 

82.41 

45.21 

82.21 

45.57 

82.01 

45.93: 

81.81 

46.29 

81.61 

46.64 

81.41 

47.00 

94 

95 

83,29 

45.69 

83.09 

46.06 

82.89 

46.42 

82.68 

46.78 

82.48 

47.14 

82.27 

47.50 

95 

96 

84.17 

46.17 

83.96 

46.54 

83.76 

46.91J 

83.55 

47-27 

83.35 

47-64 

83.14 

48,00 

96 

97 

85.04 

46.66 

84.84 

47.03 

84.63 

47.40 

84.42  47.77I 

84.22 

48. 1 3 

84.00 

48.5o 

97 

98 

85.92 

47.14 

85.71 

47.51 

85. 5o 

47.88: 

85.29  48.26I 

85.08 

48.63 

84.87 

49.00 

98 

99 

86.80 

47.62 

86.59 

48.00 

86.38 

48.371 

86.17 

48.75; 

85.95 

49.13 

85.74 

49.50 

99 

100 

d 

a 
a 
m 

Q 

87.67 

48.10 

87.46 

48.48 

87.25 

48.86 

87.04  49.24 

86.82 

49.62 

86.60 

5o.oo 

100 

Dep.    1    Lat. 

Dep. 

i^t. 

Dep. 

Lat. 

Dep.    1    Lat. 

Dej). 

Lat.    1 

Dep    1 

lAt 

8 

1 

1 

61%  Beg. 

61  Deg. 

60%  Deg. 

60M  Deg. 

60K  Deg. 

60  Deg. 

irn 

T 

B  A  V 

ERSE     T 

ABLE. 

o 
s 

3 

s 

I 

SOyi  Deg. 

301^ 

Dog. 

30%  Deg. 

31  Deg. 

3134  Deg. 

31M  Deg. 

g 

D 
0 
9 

lAt. 

Uep. 

Lai. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

0.86 

o.5o 

0.86 

o.5i 

0.86 

o.5i 

0.86 

o.5i 

0.85 

0.52 

0.85 

0.52 

1 

2 

1.73 
2.59 
3.46 

1 .01 

1.72 

1.02 

1.72 

1.02 

1.71 

i.o3 

1. 71 

i.o4 

1.71 

i.o4 

2 

3 

i.5i 

2.58 

1.52 

2.58 

1.53 

2.57 

1.55 

2.56 

1.56 

2.56 

1.57 

3 

4 

2.02 

3.45 

2.o3 

3.44 

2.o5 

3.43 

2.06 

3.42 

2.08 

3.4i 

2.09 

4 

5 

4.32 

2.52 

4.3i 

2.54 

4.3o 

2.56 

4.29 

2.58 

4.27 

2.59 

4.26 

2.61 

5 

6 

5.18 

3.02 

5.17 

3.o5 

5.16 

3.07 

5.i4 

3.09 

5.i3 

3. II 

5.12 

3.i3 

6 

7 
8 

6.o5 

3.53 

6.o3 

3.55| 

6.02 

3.58 

6.00 

3.61 

5.98 

3.63 

5.97 

3.66 

7 

6.91 

7-77 

4.o3 

6.89 

4.06 

6.88 

4.09 

6.86 

4.12 

6.84 

4.i5 

6.82 

4.18 

8 

9 

lO 

4.53 

7.75 

4.57 

7.73 

4.60 

7.71 

,4.64 

7.69 

4.67 

7.67 

4.70 

9 

8.64 

5.o4 

8.62 

5.08 

8.59 

5. II 

8.57 

5.i5 

8.55 

5.19 

8.53 

5.22 

10 

II 

9.5o 

5.54 

9.48 

5.58 

9.45 

5.62 

9.43 

5.67 

9.40 

5.71 

9.38 

5.75 

II 

12 

10.37 

6.o5 

10.34 

6.09 

10. 3i 

6.14: 

10.29 

6.18 

10.26 

6.23 

10. 23 

6.27 

12 

i3 

11.23 

6.55 

1 1.20 

6.60 

11.17 

6.65 

11. i4 

6.70: 

11.11 

6.74 

11.08 

6.79 

i3 

i4 

12.09 

7.o5 

12.06 

7. II 

12. o3 

7.16 

12.00 

7.21 

11.97 

7.26 

11.94 

7.3i 

i4 

i5 

12.96 

7.56 

12.92 

7.6r 

12.89 

7.67 

12.86 

7.73 

12.82 

7.78 

12.79 

7.84 

i5 

i6 

13.82 

8.06 

13.79 

8.12I 

13.75 

8.18 

13.71 

8.24 

i3.68 

8.3o 

1 3.64 

8.36 

16 

17 

14.69 

8.56 

i4.65 

8.63 

i4.6i 

8.69 

14.57 

8.76 

14.53 

8.82 

14.49 

8.88 

17 

18 

i5.55 

9.07 

i5.5i 

9-i4t 

15.47 

9.20 

i5.43 

9.27 

15.39 

9.34 

i5.35 

9.40 

18 

19 

16.41 

9.57 

16.37 

9.64; 

16.33 

9.71 

16.29 

9-79 

16.24 

9.86 

16.20 

9.93 

19 

20 

17.28 

10.08 

17.23 

io.i5 

17.19 

10. 23 

17.14 

10. 3o 

17.10 

10. 38 

17.05 

10.45 

20 

21 

18. i4 

10. 58 

18.09 

10.66 

i8.o5 

10.74 

18.00 

10.82 

17.95 

10.89 

17.91 

10.97 

21 

22 

19.00 

11.08 

18.96 

II. 17 

18.91 

11.25 

18.86 

11.33 

18.81 

1 1. 4 1 

18.76 

11.49 

22 

23 

19.87 

11.59 

19.82 

11.67 

19.77 

11.76 

19.71 

11.85 

19.66 

1 1.93 

19.61 

12.02 

23 

24 

20.73 

12.00 

20.68 

12.18 

20.63 

12.27 

20.57 

12.36 

20.52 

12.45 

20.46 

12.54 

24 

25 

21.60 

12.59 

21.54 

12.69 

21.49 

12.78 

21.43 

12.88 

21.37 

12.97 

21.32 

i3.o6 

25 

26 

22.46 

i3.io 

22.40 

l3.20 

22.34 

13.29 

22.29 

13.39 

22.23 

i3.49 

22.17 

13.58 

26 

27 

23.32 

i3.6o 

23.26 

13.70 

23.20 

i3.8o 

23.14 

13.91 

23.08 

i4.o] 

23.02 

i4.li 

27 

28 

24.19 

i4.li 

24.13 

14.21 

24.06 

l4.32 

24.00 

14.42 

23.94 

14.53 

23.87 

i4.63 

28 

29 

25.o5 

14.61 

24.99 

14.72 

24.92 

i4.83 

24.86 

14.94 

24.79 

i5.o4 

24.73 

i5.i5 

29 

3o 

25.92 

i5.ii 

25.85 

i5.23 

25.78 

i5.34 

25.71 

i5.45 

25.65 

i5.56 

25.58 

15.67 

3o 

3i 

26.78 

15.62 

26.71 

15.73 

26.64 

i5.85 

26.57 

15.97 

26.50 

16.08 

26.43 

16.20 

3i 

32 

27.64 

16.12 

27.57 

16.24 

27.50 

i6.36 

27.43 

i6.4fe 

27.36 

16.60 

27.28 

16.72 

32 

33 

28.5i 

16.62 

28.43 

16.75 

28.36 

16.87 

28.29 

17.00 

28.21 

17.12 

28.14 

17.24 

33 

34 

29.37 

17.13 

29.30 

17.26 

29.22 

17.38 

29.14 

17.51 

29.07 

17.64 

28.99 

17.76 

34 

35 

30.23 

17.63 

3o.i6 

17.76 

3o.o8 

17.90 

3o.oo 

i8.o3 

29.92 

18.16 

29.84 

18.29 

35 

36 

3i.io 

18. i4 

3l.02 

18.27 

30.94 

i8.4i 

30.86 

18.54 

30.78 

18.68 

30.70 

18.81 

36 

37 

31.96 
32.83 

18.64 

3i.88 

18.78 

3i.8o 

18.92 

31.72 

19.06 

31.63 

19.19 

31.55 

19.33 

37 

38 

19.14 

32.74 

19.29 

32.66 

19.43 

32.57 

19.57 

32.49 

19.71 

32. 4o 

19.85 

38 

39 

33.69 

19.65 

33.60 

19.79 

33.52 

19.94 

33.43 

20.09 

33.34 

20.23 

33.25 

20. 38 

39 

4o 

34.55 

20.l5 

34.47 

20. 3o 

34.38 

20.45 

34.29 

20.60 

34.20 

20.75 

34.11 

20.90 

4o 

4i 

35.42 

20.65 

35.33 

20.81 

35.24 

20.96 

35.14 

21.12 

35.o5 

21.27 

34.96 

21.42 

4i 

42 

36.28 

21.16 

36.19 

21.32 

36. 10 

21.47 

36.00 

21.63 

35.91 

21.79 

35.81 

21.94 

42 

43 

37.14 

21.66 

37.05 

21.82 

36.95 

21.99 

36.86 

22. i5 

36.76 

22. 3l 

;  36.66 

22.47 

43 

44 

38.0I 

22.17 

37.91 

22.33 

37.81 

22. 5o 

37.72 

22.66 

37.62 

22.83 

37.52 

22.99 

44 

45 

38.87 

22.67 

38.77 

22.84 

38.67 

23.01 

38.57 

23.18 

38.47 

23.34 

38.37 

23.5i 

45 

46 

39.74 

23.17 

39.63 

23.35 

39.53 

23.52 

39.43 

23.69 

39.33 

23.86 

39.22 

24. o3 

46 

47 

4o.6o 

23.68 

4o.5o 

23.85 

40.39 

24.03 

40.29 

24.21 

40.18 

24.38 

40.07 

24.56 

47 

48 

41.46 

24.18 

41.36 

24.36 

41.25 

24.54 

4i.i4 

24.72 

4i.o4 

24.90 

40.93 

25.08 

48 

49 

42.33 

24.68 

42.22 

24.87 

42.1 1 

25.o5 

42.00 

25.24 

41.89 

25.42 

41.78 

25.60 

49 

5o 

8 
1 

CO 

Q 

43.19 

25.19 

43.08 

25.38 

42.97 

25.56 

42.86 

25.75 

42.75 

25.94 

42.63 

26.12 

5o 

Dep. 

59% 

Lat 

Deg. 

Dep. 

Lat. 

Dep. 

1    Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

S 

a 
a 
w 

a 

591^  Deg. 

59% 

Deg. 

59  Deg. 

58% 

Deg. 

581^  Deg. 

Tkavekse    Table. 


17Y 


5 

5" 

a 

30K  Deg. 

301^  Deg. 

30X  Deg. 

31  Deg. 

311^  Deg. 

31 J^  Deg. 

0 

s 

5i 

Lat. 

Dep. 
25.69 

Lat. 

Dep. 

25.88 

Lat. 

Dep. 

Lat. 

Dep. 

26.27 

Lat. 

Dep. 

26.46 

l.at.    { 

Dep. 

5i 

44.06 

43.94 

43.83 

26.08 

43.72 

43.60 

43.48 

26.65 

52 

44.92 

26.20 

44.80 

26.39 

44.69 

26.59 

44.57 

26.78 

44.46 

26.98 

44.34 

27.17 

52 

53 

45.78 

26.70 

45.67 

26.90 

45.55 

27.10 

45.43 

27.30 

45. 3i 

27.49 

45.19 

27.69 

53 

54 

46.65 

27.20 

46.53 

27.41 

46.4i 

27.61 

46.29 

27.81 

46.17 

28.01 

46.04 

28.21 

54 

55 

47.51 

27.71 

47.39 

27.91 

47.27 

28.12 

47.14 

28.33 

47.02 

28.53 

46.90 

28.74 

55 

56 

48.37 

28.21 

48.25 

28.42 

48.13 

28.63 

48.00 

28.84 

47.88 

29.05 

47.75 

29,26 

56 

5? 

49.24 

28.72 

49.11 

28.93 

48.99 

29.14 

48.86 

29.36 

48.73 

29.57 

48.60 

29.78 

57 

58 

5o.io 

29.22 

49.97 

29.44 

49.85 

29.65 

49.72 

29.87 

49.58 

30.09 

49.45 

3o.3o 

58 

59 

50.97 

29.72 

5o.84 

29.941 

50.70 

30.17 

50.57 

30.39 

5o.44 

3o.6i 

5o.3i 

3o.83 

59 

60 

5i.83 

30.23 

51.70 

3o.45 

5i.56 

30.68 

5 1. 43 

30.90 

51.29 

3i.i3 

5i.i6 

31.35 

60 

61 

52.69 

30.73 

52.56 

30.96 

52.42 

31.19 

52.29 

31.42 

52.15 

31.65 

52. 01 

81.87 

61 

62 

53.56 

3i.23 

53.42 

31.47 

53.28 

31.70 

53.14 

31.93 

53.00 

32.16 

52.86 

32.39 

62 

63 

54.43 

31.74 

54.28 

31.97 

54.14 

32.21 

54.00 

32.45 

53.86 

32.68 

53.72 

32.92 

63 

64 

55.29 

32.24 

55.14 

32.48 

55.00 

32.72 

54.86 

32.96 

54.71 

33.20 

54.57 

33.44 

64 

65 

56.15 

32.75 

56. oi 

32.99 

55.86 

33.23 

55.72 

33.48 

55.57 

33.72 

55.42 

33.96 

65 

66 

57.01 

33.25 

56.87 

33. 5o 

56.72 

33.75 

56.57 

33.99 

56.42 

34.24 

56.27 

34.48 

66 

67 

57.88 

33.75 

57.73 

34.01 

57.58 

34.26 

57.43 

34. 5i 

57.28 

34.76 

57.13 

35.01 

67 

68 

58.74 

34.26 

58.59 

34.5i 

58.44 

34.77 

58.29 

35.02 

58.13 

35.28 

57.98 

35.53 

68 

69 

59.60 

34.76 

59.45 

35.02 

59.30 

35.28 

59.14 

35.54 

58.99 

35.80 

58.83 

36.o5 

69 

70 

60.47 

35.26 

60. 3i 

35.53 

60.16 

35.79 

60.00 

36.o5 

59.84 

36.3i 

59.68 

36.57 

70 

71 

61.33 

35.77 

61.18 

36.04 

61.02 

36. 3o 

60.86 

36.57 

60.70 

36.83 

60.54 

37.10 

71 

72 

62.20 

36.27 

62.04 

36.54 

61.88 

36.8i 

61.72 

37.08 

61.55 

37.35 

61.39 

37.62 

72 

73 

63.06 

36.78 

62.90 

37.05 

62.74 

37.32 

62.57 

37.60 

62.41 

37.87 

62.24 

38. i4 

73 

74 

63.92 

37.28 

63.76 

37.56 

63.6o 

37.84 

63.43 

38.11 

63.26 

38.39 

63. 10 

38.66 

74 

75 

64.79 

37.78 

64.62 

38.07 

64.46 

38.35 

64.29 

38.63 

64.12 

38.91 

63.95 

39.19 

75 

76 

65.65 

38.29 

65.48 

38.57 

65. 3i 

38.86 

65. i4 

39.14 

64.97 

39.43 

64.80 

39.71 

76 

77 

66.52 

38.79 

66.35 

39.08 

66.17 

39.37 

66.00 

39.66 

65.83 

39.95 

65.65 

4o.23 

77 

78 

67.38 

39.29 

67.21 

39.59 

67.03 

39.88 

66.86 

40.17 

66.68 

4o.46 

66. 5i 

40.75 

78 

79 

68.24 

39.80 

68.07 

4o.io 

67.89 

40.39 

67.72 

40.69 

67.54 

40.98 

67.36 

41.28 

79 

80 

69.11 

4o.3o 

68.93 

4o.6o 

68.75 

40.90 

68.57 

41.20 

68.39 

4i.5o 

68.21 

41.80 

80 

81 

69.97 

40.81 

69.79 

4i.i  I 

69.61 

4i.4i 

69.43 

41.72 

69.25 

42.02 

69.06 

42.32 

81 

82 

70.83 

4i.3i 

70.65 

41.62 

70.47 

41.93 

70.29 

42.23  '70.10 

42.54 

69.92 

42.84 

82 

83 

71.70 

41.81 

71.52 

42. i3 

71.33 

43.44 

71.14 

42.75 

70.96 

43.06 

70.77 

43.37 

83 

84 

72.56 

42.32 

72.38 

42.63 

72.19 

42.95 

72.00 

43.26 

71.81 

43.58 

71.62 

43.89 

84 

85 

73.43 

42.82 

73.24 

43.14 

73.05 

43.46 

72.86 

43.78 

72.67 

44.10 

72.47 

44.41 

85 

86 

74.29 

43.32 

74.10 

43.65 

73.91 

43.97 

73.72 

44.29 

I73.52 

44.61 

73.33 

44.93 

86 

87 

75.15 

43.83 

74.96 

44.16 

74.77 

44.48 

74.57 

44.81 

74.38 

45.13 

74.18 

45.46 

87 

88 

76.02 

44.33 

75.82 

44.66 

75.63 

44.99 

75.43 

45.32 

75.23 

45.65 

75.03 

45.98 

88 

89 

76.88 

44.84 

76.68 

45.17 

76.49 

45. 5i 

76.29 

45.84 

76.09 

46.17 

75.88 

46. 5o 

89 

90 

77.75 

45.34 

77.55 

45.68 

77.35 

46.02 

77.15 

46.35 

76.94 

46.69 

76.74 

47.02 

90 

91 

78.61 

45.84 

78.41 

46.19 

78.21 

46.53 

78.00 

46.87 

77.80 

47.21 

77.59 

47.55 

91 

7 

92 

79-47 

46.35 

79.27 

46.69 

79.07 

47.04 

78.86 

47-38 

78.65 

47.73 

78.44 

48.07 

92 

0 

93 

80.34 

46.85';8o.i3 

47.20 

79.92 

47.55 

79.72 

47.90:  79.51 

48.25 

79.30 

48.59 

93 

94 

81.20 

4735 

80.99 

47.71 

80.78 

48.06 

80.57 

48.41 

80. 36 

48.76 

80. i5 

49.11 

94 

7 

95 

82.06 

47.86 

8i.85 

48.22 

81.64 

48.57 

81.43 

48.93 

81.22 

49.28 

81.00 

49.64 

95 

96 

82.93 

48.36 

82.72 

48.72 

83. 5o 

49.08 

82.29 

49-44 

82.07 

49.80 

81.85 

5o.i6 

96 

97 

83.79 

48.87 

83.58 

49.23 

83.36 

49.60 

83. i5 

49.96  82.93 

5o.32 

82.71 

5o.68 

97 

0 

98 

84.66 

49.37 

49.87 

84.44 

49.74 

84.22 

5o.ii 

84.00 

5o.47 

,83.78 

5o.84 

83.56 

5l.20 

98 

99 
100 

85.52 

85. 3o 

5o.25 

8  5. 08 

50.62 

84.86 

50.99 

i  84.64 

51.36 

84.4i 

51.73 

99 

86.38 

5o.38 

86.16 

50.75 

85.94 

5i.i3 

85.72 
Dep. 

5i.5o 

85.49 

Dep. 

51.88 

85.26 

52.25 

100 

1 

0 

c5 
0 

a 

CO 

a 

Dep. 

I-at. 

Dep. 

Lat. 

Dep. 

Lat. 

Lat. 

1    Lat. 

Dep. 

Lat 

59% 

Deg. 

591^  Deg. 

5Qyi  Deg. 

59  Deg. 

58%  Deg. 

58K  Deg. 

M 


irs 

T 

KAV 

ERSE     T 

ABLE. 

3 

1 

I 

31%  Deg. 

32  Deg. 

32>^  Deg. 

32>^  Deg. 

32%  Deg. 

33  Deg. 

0 

D 

Lat. 

Uep. 

Lat 

|)C|). 

0.53 

Lat. 

Uep. 

Lat. 

Dep. 

Lat. 

Hep. 

Lat. 

Dep. 

0.85 

0.53 

0.85 

0.85 

0.53 

0.84 

0.54 

0.84 

0.54 

0.84 

0.54 

1 

2 

1.70 

2.55 

i.o5 

1.70 

1.06 

1.69 

1.07 

1.69 

1.07 

1.68 

1.08 

1.68 

1.09 

2 

3 

1.58 

2.54 

1.59 

2.54 

1.60 

2.53 

1.61 

2.52 

1.62 

2.52 

1.63 

3 

4 

3.4o 

2.10 

3.39 

2.12 

3.38 

2.l3 

3.37 

2.l5 

3.36 

2.16 

3.35 

2.18 

4 

5 

4.25 

2.63 

4.24 

2.65 

4.23 

2.67 

4.22 

2.69 

4.21 

2.70 

4.19 

2.72 

5 

6 

5.:o 

3.16 

5.09 

3.18 

5.07 

3.20 

5.06 

3.22 

5.o5 

3.25 

5.o3 

3.27 

6 

7 

5.95 
6.80 

3.68 

5.94 

3.71 

5.92 

3.74 

5.90 

3.76 

5.89 

3.79 

5.87 

3.81 

7 

/ 
8 

4.21 

6.78 

4.24 

6.77 

4.27 

6.75 

4.3o 

6.73 

4.33 

6.71 

4.36 

8 

9 

lO 

7.65 
8.5o 

4.74 

7.63 

4.77 

7.61 

4.80 

7.59 

4.84 

7.57 

4.87 

7.55 

4.90 

9 

5.26 

8.48 

5.3o 

8.46 

5.34 

8.43 

5.37 

8.4i 

5.4i 

8.39 

5.45 

10 

II 

9.35 

5.79 

9.33 

5.83 

9.30 

5.87 

9.28 

5.91 

9.25 

5.95 

9.23 

5.99 

1 1 

12 

7 

10.20 

6.3i 

10.18 

6.36 

10. i5 

6.4o 

10.12 

6.45 

10.09 

6.49 

10.06 

6.54 

12 

i3 

ii.o5 

6.84 

11.02 

6.89 

10.99 

6.94 

10.96 

6.98 

10.93 

7.o3 

10.90 

7.08 

i3 

i4 

II. go 

7.37 

n.87 

7.42 

11.84 

7-47 

11.81 

7.52 

11.77 

7.57 

11.74 

7.62 

i4 

i5 

/ 

12.76 

7.89 

12.72 

7.95 

12.69 

8.00 

12.65 

8.06 

12.62 

8.11 

12.58 

8.17 

i5 

i6 

i3.6i 

8.42 

13.57 

8.48 

i3.53 

8.54 

13.49 

8.60 

i3.46 

8.66 

l3.42 

8.71 

16 

I? 

14.46 

8.95 

14.42 

9.01 

i4.38 

9.07 

14.34 

9.13 

i4.3o 

9.20 

14.26 

9.26 

17 

i« 

i5.3i 

9.47 

15.26 

9.54 

l5.22 

9.61 

i5.i8 

9.67 

i5.i4 

9-74 

i5.io 

9.80 

18 

'9 

16.16 

10.00 

16. 1 1 

10.07 

16.07 

10. i4 

16.02 

10.21 

15.98 

10.28 

15.93 

10.35 

19 

20 

17.01 

10.52 

16.96 

10.60 

16.91 

10.67 

16.87 

10.75 

16.82 

10.82 

16.77 

10.89 

20 

21 

17.86 

I  i.o5 

17.81 

II. i3 

17.76 

11.21 

17.71 

11.28 

17.66 

11.36 

17.61 

11.44 

21 

22 

18.71 

11.58 

18.66 

11.66 

18.61 

11.74 

18.55 

11.82 

18. 5o 

11.90 

18.45 

11.98 

22 

23 

19.56 

12.10 

19.51 

12.19 

19.45 

12.27 

19.40 

12.36 

19.34 

12.44 

19.29 

12.53 

23 

24 

20.4l 

12.63 

20.35 

12.72 

20. 3o 

12.81 

20.24 

12.90 

20.18 

12.98 

20. i3 

13.07 

24 

25 

21.26 

i3.i6 

21.20 

i3.25 

21. i4 

i3.34 

21.08 

i3.43 

2i.o3 

13.52 

20.97 

13.62 

25 

26 

22.11 

i3.68 

22. o5 

13.78 

21.99 

13.87 

21.93 

13.97 

21.87 

14.07 

21.81 

14.16 

26 

27 

22.96 

14.21 

22.90 

i4.3i 

22.83 

i4.4i 

22.77 

i4.5i 

22.71 

14.61 

22.64 

14.71 

27 

28 

23.81 

14.73 

23.75 

14.84 

23.68 

14.94 

23.61 

i5.o4 

23.55 

i5.i5 

23.48 

i5.25 

28 

29 

24.66 

15.26 

24.59 

15.37 

24.53 

i5.47 

24.46 

i5.58 

24.39 

15.69 

24.32 

i5.79 

29 

3o 

25. 5i 

15.79 

25.44 

15.90 

25.37 

16.01 

25. 3o 

16.12 

25.23 

16.23 

25.16 

i6.34 

3o 

3i 

26.36 

16. 3i 

26.29 

16.43 

26.22 

16.54 

26. i5 

16.66 

26.07 

16.77 

26.00 

16.88 

3i 

32 

27.21 

16.84 

27.14 

16.96 

27.06 

17.08 

26.99 

17.19 

26.91 

17.31 

26.84 

17.43 

32 

33 

28.06 

17.37 

27.99 

17.49 

27.91 

17.61 

27.83 

17.73 

27.75 

17.85 

27.68 

17.97 

33 

34 

28.91 

17.89 

28.83 

l8.02 

28.75 

18. i4 

28.68 

18.27 

28.60 

18.39 

28.51 

18.52 

34 

35 

29.76 

18.42 

29.68 

18.55 

29,60 

18.68 

29.52 

18.81 

29.44 

18.93 

29.35 

19.06 

35 

36 

3o.6i 

18.94 

30.53 

19.08 

30.45 

19.21 

3o.36 

19.34 

30.28 

19.48 

30.19 

19.61 

36 

37 

31.46 

19.47 

31.38 

19.61 

31.29 

19.74 

3l.21 

19.88 

3I.I2 

20.02 

3i.o3 

20.l5 

37 

38 

32. 3i 

20.00 

32.23 

20.14 

32.14 

20.28 

32.o5 

20.42 

31.96 

20.56 

31.87 

20.70 

38 

39 

33.16 

20.52 

33.07 

20.67 

32.98 

20.81 

32.89 

20.95 

32.80 

21.10 

32.71 

21.24 

39 

4o 

34.01 

2I.o5 

33.92 

21.20 

33.83 

21.34 

33.74 

21.49 

33.64 

21.64 

33.55 

21.79 

40 

4i 

34.86 

21.57 

34.77 

21.73 

34.67 

21.88 

34.58 

22. o3 

34.48 

22.18 

34.39 

22.33 

4i 

42 

35.71 

22.10 

35.62 

22.26 

35.52 

22.41 

35.42 

22.57 

35.32 

22.72 

35.22 

22.87 

42 

43 

36.57 

22.63 

36.47 

22.79 

36.37 

22.95 

36.27 

23. 10 

36. 16 

23.26 

36.06 

23.42 

43 

44 

37.42 

23. l5 

37.31 

23.32 

37.21 

23.48 

37.11 

23.64 

37.01 

23.80 

36.90 

23.96 

44 

45 

38.27 

23.68 

38.16 

23.85 

38.06 

24.01 

37.95 

24.18 

37.85 

24.34 

37.74 

24. 5i 

45 

46 

39.12 

24.21 

39.01 

24.38 

38.90 

24.55 

38. 80 

24.72 

38.69 

24.88 

38.58 

25. o5 

46 

47 

39.97 

24.73 

39.86 

24.91 

39.75 

25.08 

39.64 

25.25 

39.53 

25.43 

39.42 

25.60 

47 

48 

40.82 

25.26 

40.71 

25.44 

40.59 

25.61 

4o.48 

25.79 

40.37 

25.97 

40.26 

26.14 

48 

49 

41.67 

25.78 

41.55 

25.97 

41.44 

26.15 

41.33 

26.33 

4l.21 

26.51 

41.09 

26.69 

49 

5o 

1 

w 

Q 

42.52 

26. 3i 

42.40 

26.50 

42.29 

26.68 

42.17 

26.86 

42. o5 

27.05 

41.93 

27.23 

5o 

Dep. 

Lat. 

Dep. 

T.at. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

d 
a 

m 

58K  Deg. 

58  Deg. 

57%  Deg. 

57M  Deg. 

57%  Deg. 

57] 

3eg. 

T 

RAVEESE    Table 

179 

1 
g 
s 

9 
o 

® 
5i 

31%  Deg. 

32  Deg. 

32%  Deg. 

321^  Deg. 

32%  Deg. 

33  Deg. 

0 

CD 

8 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

IM.    1    Dep. 

Lat. 

Dep. 

43.37 

26.84 

43.25 

27.03 

43. i3 

27.21 

43.01 

27.40 

42.89 

27.59 

42.77 

27.78 

5i 

52 

44.22 

27.36 

44.10 

27.56 

43.98 

27.75 

43.86 

27-94 

43.73 

28.13 

43.61 

28.32 

52 

53 

45.07 

27.89 

44.95 

28.09 

44.82 

28.28 

44.70 

28.48 

44.58 

28.67 

44.45 

28.87 

53 

54 

45.92 

28.42 

45.79 

28.62 

45.67 

28.82' 

45.54 

29.01 

45.42 

29.21 

45.29 

29.41 

54 

55 

46.77 

28.94 

46.64 

29.15 

46. 5i 

29.35 

46.39 

29.55 

46.26 

29.75 

46.13 

29.96 

55 

56 

47.62 

29.47 

47.49 

29.68 

47-36 

29.88 

47-23 

30.09 

47.10 

30.29 

46.97 

3o.5o 

56 

5? 

48.47 

29.99 

48.34 

3o.2i 

48.21 

3o.42 

48.07 

30.63 

47-94 

3o.84 

47.80 

3i.o4 

57 

58 

49.32 

3o.52 

49.19 

30.74 

49.05 

30.95 

48.92 

3i.i6 

48.78 

3i.38 

48.64 

31.59 

58 

59 

50.17 

3i.o5 

5o.o3 

31.27 

49.90 

31.48 

49.76 

31.70 

49.62 

31.92 

49-48 

32.13 

59 

60 

5l.02 

31.57 

5o.88 

3i.8o 

50.74 

32.02 

5o.6o 

32.24 

5o.46 

32.46 

5o.32 

32.68 

60 

61 

51.87 

32.10 

5(.73 

32.33 

51.59 

32.55 

5 1. 45 

32.78 

5i.3o 

33.00 

5i.i6 

33.22 

6i 

62 

52.72 

32.63 

52.58 

32.85 

52.44 

33.08 

52.29 

33.3i 

52.14 

33.54 

52.00 

33.77 

62 

63 

53.57 

33. i5 

53.43 

33.38 

53.28 

33.62 

53.13 

33.85 

52.99 

34.08 

52.84 

34. 3i 

63 

64 

54.42 

33.68 

54.28 

33.91 

54.13 

34.15 

53.98 

34.39 

53.83 

34.62 

53.67 

34.86 

64 

65 

55.27 

34.20 

55.12 

34.44 

54.97 

34.68 

54.82 

34.92 

54.67 

35.16 

54.51 

35.40 

65 

66 

56.12 

34.73 

55.97 

34.97 

55.82 

35.22 

55.66 

35.46 

55. 5i 

35.70 

55.35 

35.95 

66 

67 

56.98 

35.26 

56.82 

35.5o 

56.66 

35.75 

56. 5i 

36. 00 

56.35 

36.25 

56.19 

36.49 

67 

68 

57.82 

35.78 

57.67 

36.03 

57.51 

36.29 

57.35 

36.54 

57.19 

36.79 

57.03 

37.04 

68 

69 

58.67 

36.3i 

58.52 

36.56 

58.36 

36.82 

58.19 

37.07 

58.03 

37.33 

57.87 

37.58 

69 

70 

59.52 

36.83 

59.36 

37.09 

59.20 

37.35 

59.04 

37.61 

58.87 

37.87 

58.71 

38.12 

70 

71 

60.37 

37.36 

60.21 

37.62 

60. o5 

37.89 

59.88 

38.15 

59.71 

38.4i 

59.55 

38.67 

71 

72 

61.23 

37.89 

61.06 

38.15 

60.89 

38.42 

60.72 

38.69 

60.55 

38.95 

6o.38 

39.21 

72 

73 

62.08 

38.4i 

61.91 

38.68 

61.74 

38.95 

61.57 

39.22 

61. 4o 

39.49 

61.22 

39.76 

73 

74 

62.93 

38.94 

62.76 

39.21 

62.58 

39.49; 

62.41 

39.76 

62.24 

4o.o3 

62.06 

4o.3o 

74 

75 

63.78 

39.47 

63.6o 

39.74 

63.43 

4o.02 

63.25 

4o.3o 

63.o8 

40.57 

62.90 

40.85 

75 

76 

64.63  3g.99 

64.45 

40.27 

64.28 

40.55 

64.10 

40.83 

63.92 

4i.li 

63.74 

41.39 

76 

77 

65.48 

4o.52 

65. 3o 

4o.8o 

65.12 

41.09 

64.94 

41.37 

64.76 

4i.65 

64.58 

41.94 

77 

78 

66.33 

4i.o4 

66. i5 

41.33 

65.97 

41.62 

65.78 

41.91 

65.6o 

42.20 

65.42 

42.48 

78 

79 

67.18 

41.57 

67.00 

41.86 

66.81 

42.16 

66.63 

42.45 

66.44 

42.74 

66.25 

43.o3 

79 

80 

68.03 

42.10 

67.84 

42.39 

67.66 

42.69 

67.47 

42.98 

67.28 

43.28 

67.09 

43.57 

80 

81 

68.88 

42.62 

68.69 

42.92 

68. 5o 

43.22 

68. 3i 

43.52 

68.12 

43.82 

67.93 

44.12 

81 

82 

69.73 

43. i5 

69.54 

43.45 

69.35 

43.76 

69.16 

44.06 

68.97 

44.36 

68.77 

44.66 

82 

83 

70.58 

43.68 

70.39 

43.98 

70.20 

44.29 

70.00 

44.60 

69.81 

44.90 

69.61 

45.20 

83 

84 

71.43 

44.20 

71.24 

44.51 

71.04 

44.82 

70.84 

45.13 

70.65 

45.44 

70.45 

45.75 

84 

85 

72.28 

44.73 

72.08 

45.04 

71.89 

45.36 

71.69 

45.67 

71.49 

45.98 

71.29 

46.29 

85 

86 

73.13 

45.25 

72.93 

45.57 

72.73 

45.89 

72.53 

46.21 

72.33 

46.52 

72.13 

46.84 

86 

87 

73.98 

45.78 

73.78 

46.10 

73.58 

46.42 

73.38 

46.75 

73.17 

47.06 

72.96 

47-38 

87 

88 

74.83 

46. 3i 

74.63 

46.63 

74.42 

46.96 

74.22 

47.28 

74.01 

47.61 

73.80 

47.93 

88 

89 

75.68 

46.83 

75.48 

47.16 

75.27 

47-49 

75.06 

47.82 

74.85 

48. i5 

74-64 

48.47 

89 

90 

76.53 

47-36 

76.82 

47-69 

76.12 

48.o3 

75.91 

48.36 

75.69 

48.69 

75.48 

49.02 

90 

91 

77.38 

47.89 

77.17 

48.22 

76.96 

48.56 

76.75 

48.89 

76.53 

49.23 

76.32 

49.56 

91 

92 

78.23 

48.41 

78.02 

48.75 

77.81 

49.09 

77.59 

49.43 

77.38 

49-77 

77.16 

5o.i  I 

92 

93 

79.08 

48.94 

78.87 

49.28 

78.65 

49.63 

78.44 

49-97 

78.22 

5o.3i 

78.00 

5o.65 

93 

94 

79.93 

49.47 

79-72 

49.81 

79.50 

5o.i6 

79.28 

5o.5i 

79.06 

5o.85 

78.83 

5l.20 

94 

95 

80.78 

49.99 

80.56 

50.34 

80.34 

50.69 

80.12 

5i.o4 

79.90 

61.39 

79.67 

51.74 

96 

96 

81.63 

5o.52 

81.41 

50.87 

81.19 

5i.23 

80.97 

5i.58 

80.74 

51.93 

80. 5i 

62.29 

96 

97 

82.48 

5i.o4 

82.26 

5i.4o 

82.04 

51.76 

81.81 

52.12 

8i.58 

52.47 

81.35 

52.83 

97 

7  ' 

98 

83.33 

51.57 

83.11 

51.93 

82.88 

52.29 

82.65 

52.66 

82.42 

53.02 

82.19 

53.37 

98 

7 

Q9 

84.18 

52.10 

83.9e 

52.46 

83.73 

52.83 

83. 5o 

53.19 

83.26 

53.56 

83.o3 

53.92 

99 

7  7 

100 

85. o4 

52.62 

84.8c 

52.99 

84.57 

53.36 

84.34 

53.73 

84.10 

54.10 

83.87 

54.46 

100 

6 

0 

Q 

3 

a 
a 

a 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

58%  Deg. 

58  Deg. 

57%  Deg. 

57K  Deg. 

57%  Deg. 

57  Deg. 

180 


Tbavekse    Table. 


g 

D 

33>^  Deg. 

33K  Deg. 

mi  Deg. 

34  Deg. 

34i<  Deg. 

341^  Deg. 

0 

CO 

? 

D 
0 
p 

I 

Lat 

Uep 

i«it. 
0.83 

Dep. 

Lat. 

Dep. 

Lat. 
0.83 

Dep. 
0.56 

Lat. 

Dep. 

Lat. 

Dep. 

I 

0.84 

0.55 

0.55 

0.83 

0.56 

0.83 

0.56 

0.82 

0.57 

O 

1.67 

1. 10 

1.67 

1. 10 

1.66 

I. II 

1.66 

1.12 

1.65 

i.i3 

1.65 

I.l3 

2 

3 

2.5l 

1.64 

2.5o 

1.66 

2.49 

1.67 

2.49 

1.68 

2.48 

1.69 

2.47 

1.70 

3 

4 

3.35 

2.19 

3.34 

2.21 

3.33 

2.22 

3.32 

2.24 

3.3i 

2.25 

3.3o 

2.27 

4 

5 

4.18 

2.74 

4.17 

2.76 

4.16 

2.78 

4.i5 

a.8o 

4.i3 

2.81 

4.12 

2.83 

5 

6 

5.02 

3.29 

5.00 

3.3i 

4.99 

3.33 

4.97 

3.36 

4.96 

3.38 

4.94 

3.4o 

6 

7 

5.85 

3.84 

5.84 

3.86 

5.82 

3.89 

5.80 

3.91 

5.79 

3.94 

5.77 

3.96 

7 

8 

6.69 

4.39 

6.67 

4.42 

6.65 

4.44 

6.63 

4.47 

6.61 

4.5o 

6.59 

4.53 

8 

9 

7.53 

4.93 

7.5o 

4.97 

7-48 

5.00 

7.46 

5.o3 

7.44 

5.07 

7.42 

5.10 

9 

10 

8.36 

5.48 

8.34 

5.52 

8.3i 

5.56 

8.29 

5.59 

8.27 

5.63 

8.24 

5.66 

10 

II 

9.20 

6.o3 

9.17 

6.07 

9.1  5 

6. II 

9.12 

6.i5 

9.09 

6.19 

9.07 

6.23 

II 

12 

io.o4 

6.58 

10.01 

6.62 

9.98 

6.67 

9.95 

6.71 

9.92 

6.75 

9.89 

6.80 

12 

i3 

10.87 

7.13 

I0.84 

7.18 

10.81 

7.22 

10.78 

7.27 

10.75 

7.32 

10.71 

7.36 

i3 

i4 

1 1. 71 

7.68 

11.67 

7.73 

11.64 

7.78 

1 1.61 

7.83 

11.57 

7.88 

11.54 

7.93 

i4 

i5 

12.54 

8.22 

12. 5i 

8.28 

12.47 

8.33 

12.44 

8.39 

12.40 

8.44 

12.36 

8.5o 

i5 

i6 

1 3.38 

8.77 

i3.34 

8.83 

i3.3o 

8.89 

13.26 

8.95 

i3.23 

9.00 

13.19 

9.06 

16 

I? 

l4.22 

9.32 

14.18 

9.38 

i4.i3 

9.44 

14.09 

9.51 

14. o5 

9.57 

14.01 

9.63 

17 

i8 

i5.o5 

9.87 

iS.oi 

9.93 

14.97 

10.00 

14.92 

10.07 

14.88 

10. i3 

i4.83 

10.20 

18 

19 

15.89 

10.42 

1 5.84 

10.49 

i5.8o 

10. 56 

15.75 

10.62 

15.71 

10.69 

i5.66 

10.76 

'9 

20 

16.73 

10.97 

16.68 

ii.o4 

i6.63 

II. II 

i6.58 

II. i8 

16.53 

11.26 

16.48 

11.33 

20 

2: 

17.56 

II. 5i 

17.51 

11.59 

17.46 

11.67 

17.41 

11.74 

17.36 

11.82 

17.31 

11.89 

21 

22 

18.40 

12.06 

18.35 

12. i4 

18.29 

12.22 

18.24 

12. 3o 

18.18 

12.38 

18. i3 

12.46 

22 

23 

19.23 

12.61 

19.18 

12.69 

19.12 

12.78 

19.07 

12.86 

19.01 

12.94 

18.95 

i3.o3 

23 

24 

20.07 

i3.i6 

20.01 

i3.25 

19.96 

i3.33 

19.90 

13.42 

19.84 

i3.5i 

19.78 

13.59 

24 

2.5 

20.91 

13.71 

20.85 

i3.8o 

20.79 

13.89 

20.73 

13.98 

20.66 

14.07 

20.60 

14.16 

25 

26 

21.74 

14.26 

21.68 

14.35 

21.62 

14.44 

21.55 

14.54 

21.49 

i4.63 

21.43 

14.73 

26 

27 

22.58 

14.80 

22. 5i 

14.90 

22.45 

i5.oo 

22.38 

i5.io 

22.32 

l5.20 

22.25 

15.29 

27 

28 

23.42 

i5.35 

23.35 

i5.45 

23.28 

i5.56 

23.21 

i5.66 

23.14 

15.76 

23.08 

i5.86 

28 

29 

24.25 

15.90 

24.18 

16.01 

24.11 

16.11 

24.04 

16.22 

23.97 

16.32 

23.90 

16.43 

29 

3o 

25.09 

16.45 

25.02 

i6.56 

24.94 

16.67 

24.87 

16.78 

24.80 

16.88 

24.72 

16.99 

3o 

3i 

25.92 

17.00 

25.85 

17. II 

25.78 

17.22 

25.70 

17.33 

25.62 

17.45 

25.55 

17.56 

3i 

32 

26.76 

17.55 

26.68 

17.66 

26.61 

17.78 

26.53 

17.89 

26.45 

18.01 

26.37 

18.12 

32 

33 

27.60 

18.09 

27.52 

18.21 

27.44 

18.33 

27.36 

18.45 

27.28 

18.57 

27.20 

18.69 

33 

34 

28.43 

18.64 

28.35 

18.77 

28.27 

18.89 

28.19 

19.01 

28.10 

19.14 

28.02 

19.26 

34 

35 

29.27 

19.19 

29.19 

19.32 

29.10 

19.44 

29.02 

19.57 

28.93 

19.70 

28.84 

19.82 

35 

36 

3o.i  I 

19.74 

3o.02 

19.87 

29.93 

20.00 

29.85 

20. i3 

29.76 

20.26 

29.67 

20.39 

36 

37 

30.94 

20.29 

30.85 

20.42 

30.76 

20. 56 

30.67 

20.69 

30.58 

20.82 

30.49 

20.96 

37 

38 

31.78 

20.84 

31.69 

20.97 

3i.6o 

21.11 

3i.5o 

21,25 

3i.4i 

21.39 

31.32 

21.52 

38 

39 

32.62 

21.38 

32.52 

21.53 

32.43 

21.67 

32.33 

21.81 

32.24 

21.95 

32.14 

22.09 

39 

4o 

33.45 

21.93 

33.36 

22.08 

33.26 

22.22 

33.16 

22.37 

33.06 

28. 5l 

32.97 

22.66 

4o 

4i 

34.29 

22.48 

34.19 

22.63 

34.09 

22.78 

33.99 

22.93 

33.89 

23.07 

33.79 

23.22 

4i 

42 

35.12 

23.03 

35.02 

23.18 

34.92 

23.33 

34.82 

23.49 

34.72 

23.64 

34.61 

23.79 

42 

43 

35.96 

23.58: 

35.86 

23.73 

35.75 

23.89 

35.65 

24. o5 

35.54 

24.20 

35.44 

24.36 

43 

44 

36.8o 

24.12 

36.69 

24.29 

36.58 

24.45 

36.48 

24.60 

36.37 

24.76, 

36.26 

24.92 

44 

45 

37.63 

24.67' 

37.52 

24.84 

37.42 

25.00 

37.31 

25.16 

37.20 

25.33 

37.09 

25.49 

45 

46 

38.47 

25.22 

38.36 

25.39 

38.25 

25.56 

38.14 

25.72 

38.02 

25.89: 

37.91 

26.05 

46 

47 

39.31 

2577 

39.19 

25.94 

39.08 

26.11 

38.96 

26.28 

38.85 

26.45^ 

38.73 

26.62 

47 

48 

4o.i4 

26  32 

4o.o3 

26.49 

39.91 

26.67 

39.79 

26.84 

39.68 

27.01: 

39.56 

27.19 

48 

49 

40.98 

26.87 

40.86 

27.04 

40.74 

27.22 

40.62 

27.40 

4o.5o 

27.58 

4o.38 

27.75 

49 

5o 

d 

1 

CO 

Q 

41.81 

27.41 

41.69 

27.60 

41.57 

27.78 

41.45 



Dep. 

27.96 

41.33 

28.i4| 

4l.21 

28.32 

5o 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

c 

s. 

00 

Q 

56%  Deg. 

56K  Deg. 

56^  Deg. 

56  Deg. 

55%  Deg. 

551^  Deg. 

Traverse    Table, 


181 


5 

55* 

a 
o 
9 

33K  Deg. 

33K  Deg. 

33%  Deg. 

34  Deg. 

Si%  Deg. 

341^  Deg. 

5 

1 

8 
5i 

Lat. 

Dep.    1 

Lat. 

Dep. 

Lat.    1    Dep. 

Lat. 

42.28 

Dep. 
28.52 

Lat. 

Dep. 

I  At. 

Dep. 
28.89 

5i 

42.65 

27.96 

42.53 

28.15 

42.40 

28.33 

42.16 

28.70 

42.03 

52 

43.49 

28.51 

43.36 

28.70 

43.24 

28.89 

43.11 

29.08 

42.98 

29.27 

42.85 

29.45 

52 

53 

44.32 

29.06 

44.20 

29.25 

44.07 

29.45 

43.94 

29.64 

43.81 

29.83 

43.68 

3o.02 

53 

54 

45.16 

29.61 

45.o3 

29.80 

44.90 

3o.oo 

44.77 

3o.20 

44.64 

30.39 

44.5o 

30.59 

54 

55 

46.00 

3o.i6 

45.86 

3o.36 

45.73 

3o.56 

45.60 

30.76 

45.46 

30.95 

45.33 

3i.i5 

55 

56 

46.83 

30.70 

46.70 

30.91 

46.56 

3i.ii 

46.43 

3i.3i 

46.29 

31.52 

46. 1 5 

31.72 

56 

5? 

47.67 

31.25 

47.53 

31.46 

47.39 

31.67 

47.26 

31.87 

47.12 

32.08 

46.98 

32.29 

57 

58 

48. 5o 

3i.8o 

48.37 

32. 01 

48.23 

32.22 

48.08 

32.43 

47.94 

32.64 

47.80 

32.85 

58 

59 

49.34 

32.35 

49.20 

32.56 

49.06 

32.78 

48.91 

32.99 

48.77 

33.21 

48.62 

33.42 

59 

6o 

5o.i8 

32.90 

5o.o3 

33.12 

49.89 

33.33 

49.74 

33.55 

49.60 

33.77 

49.45 

33.98 

60 

6i 

5i.oi 

33.45 

50.87 

33.67 

50.72 

33.89 

50.57 

34.11 

5o.42 

34.33 

5o.27 

34.55 

61 

62 

5i.85 

33.99 

51.70 

34.22 

5i.55 

34.45 

5i.4o 

34.67 

5i.25 

34.89 

5i.io 

35.12 

62 

63 

52.69 

34.54 

52.53 

34.77 

52.38 

35.00 

52.23 

35.23 

52.08 

35.46 

51.92 

35.68 

63 

64 

53.52 

35.09 

53.37 

35.32 

53.21 

35.56 

53.06 

35.79 

52.90 

36. 02 

52.74 

36.25 

64 

65 

54.36 

35.64 

54.20 

35.88 

54.o5 

36.11 

53.89 

36.35 

53.73 

36.58 

53.57 

36.82 

65 

66 

55.19 

36.19 

55.04 

36.43 

54.88 

36.67 

54.72 

36.91 

54.55 

37.15 

54.39 

37.38 

66 

67 

56. o3 

36.74 

55.87 

36.98 

55.71 

37.22 

55.55 

37.46 

55.38 

37.71 

55.22 

37.95 

67 

68 

56.87 

37.28 

56.70 

37.53 

56.54 

37.78 

56.37 

38. o3 

56.21 

38.27 

56.04 

38.52 

68 

69 

57.70 

37.83 

57.54 

38.o8 

57.37 

38.33 

57.20 

38.58 

57.03 

38.83 

56.86 

39.08 

69 

70 

58.54 

38.38 

58.37 

38.64 

58.20 

38.89 

58.o3 

39.14 

57.86 

39.40 

57.69 

39.65 

70 

71 

59.38 

38.93 

59.21 

39.19 

59.03 

39.45 

58.86 

39.70 

58.69 

39.96 

58.5i 

40.21 

7' 

72 

60.21 

39.48 

60. o4 

39.74 

59.87 

4o.oo 

59.69 

40.26 

59.51 

4o.52 

59.34 

40.78 

72 

73 

61. o5 

4o.o3 

60.87 

40.29 

60.70 

4o.56i|6o.52 

40.82 

60.34 

41.08 

60.16 

41.35 

73 

74 

61.89 

40.57 

61.71 

40.84 

61.53 

4i.i  I 

61.35 

41.38 

61.17 

41.65 

60.99 

41.91 

74 

75 

62.72 

4r.i2 

62.54 

4i.4o 

62.36 

41.67 

62.18 

41.94 

61.99 

42.21 

61.81 

42.48 

75 

76 

63.56 

41.67 

63.38 

41.95 

63.19 

42.22 

63.01 

42. 5o 

62.82 

42.77 

62.63 

43.o5 

76 

77 

64.39 

42.22 

64.21 

42. 5o 

64.02 

42.78 

63.84 

43.06 

63.65 

43.34 

63.46 

43.61 

77 

78 

65.23 

42.77 

65. o4 

43. o5 

64.85 

43.33 

64.66 

43.62 

64.47 

43.90 

64.28 

44.18 

78 

79 

66.07 

43.32 

65.88 

43.60 

65.69 

43.89 

65.49 

44.18 

65. 3o 

44.46 

65.11 

44.75 

79 

80 

66.90 

43.86 

66.71 

44.15 

66.52 

44.45 

66.32 

44.74 

66.13 

45.02 

65.93 

45.3i 

80 

81 

67.74 

44.41 

67.54 

44.71 

67.35 

45.00 

67.15 

45.29 

66.95 

45.59 

66.75 

45.88 

81 

82 

68.58 

44.96 

68.38 

45.26 

68.18 

45.56 

67.98 

45.85 

67.78 

46.i5 

67.58 

46.45 

82 

83 

69.41 

45. 5i 

69.21 

45.81 

69.01 

46.11 

68.81 

46.4i 

68.61 

46.71 

,68.40 

47.01 

83 

84 

70.25 

46.06 

70.05 

46.36 

69.84 

46. O7 

69.64 

46.97 

69.43 

47.28 

'69.23 

47.58 

84 

85 

71.08 

46.60 

70.88 

46.91 

70.67 

47.22 

70.47 

47.53 

70.26 

47.84 

70.05 

48.14 

85 

86 

71.92 

47.15 

71.71 

47.47 

71. 5i 

47.78 

71.30 

48.09 

71.09 

48.4o 

70.87 

48.71 

86 

87 

72.76 

47.70 

72.55 

48.02 

72.34 

48.33 

72.13 

48.65 

71.91 

48.96 

71.70 

49.28 

87 

88 

73.59 

48.25 

73.38 

48.57 

73.17 

48.89 

72.96 

49.21 

72.74 

49.53 

72.52 

49.84 

88 

89 

74.43 

48.80 

74.22 

49.12 

74.00 

49.45 

73.78 

49-77 

73.57 

50.09 

73.35 

5o.4i 

89 

90 

75.27 

49.35 

75.05 

49.67 

74.83 

So.oo 

74.61 

5o.33 

74.39 

5o.65 

74.17 

50.98 

90 

9^ 

76.10 

49.89 

75.88 

5o.23 

75.66 

50.56 

75.44 

50.89 

75.22 

5l.22 

75.00 

5i.54 

9' 

92 

76.94 

5o.44 

76.72 

50.78 

76.50 

5i.ii 

76.27 

5i.45 

76.05 

51.78 

75.82 

52.11 

92 

93 

77-77 

50.99 

77.55 

5i.33 

77.33 

51.67 

77.10 

52.00 

76.87 

52.34 

76.64 

52.68 

93 

/ 

94 

78.61 

5i.54 

78.39 

5i.88 

78.16 

52.22 

77.93 

52.56 

77.70 

52.90 

77-47 

53.24 

^i 

95 

79-45 

52.09 

79.22 

52.43 

78.99 

52.78 

78.76 

53.12 

78.53 

53.47 

78.29 

53.81 

95 

96 

97 
98 

99 

lOO 

o5 

a 
a 
to 

(5 

80.28 

52.64 

80. o5 

52.99 

79.82 

53.33 

79.59 

53.68 

79.35 

54.o3 

79.12 

54.37 

96 

81,12 

53.18 

80.89 

53.54 

80.65 

53.89 

80.42 

54.24 

80.18 

54.59 

79-94 

54.94 

97 

81.96 

53.73 

81.72 

54.09 

81.48 

54.45 

81.25 

54.80 

81.01 

55. i5 

80.76 

55. 5i 

98 

82.7^ 
83.6:: 

/  54.28 

82.55 

54.64 

82.32 

55.00 

82.07 

55.36 

8i.83 

55.72  '81.59:50.07 

99 

!  54.83 

83.39 

55.19 

83.i5 

55.56 

Lat. 

82.90 

55.92 

82.66 

56.28 

82.41  5b.04 

100 

i 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Dep. 

1    Lat. 

Dep. 

Lat 

Dep.   1    lAt. 

56,^^  Deg. 

561^  Deg. 

56%  Deg. 

56  Deg. 

55%  Deg. 

55K  Deg. 

182 

T 

RAVEESE    Table. 

. 

a 
n 
a 

34%  Deg. 

35  Deg. 

35K  Deg. 

35%  Deg. 

35%  Deg. 

36  Deg. 

0 

B 
a 

<D 

Lat. 

Uep. 

0.57 

Lat. 

Dep 
0.57 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat.    1    Dep. 

I 

0.82 

0.82 

0.82 

0.58 

0.81 

0.58 

0.81 

0.58 

0.81 

0.59 

I 

2 

1.64 

i.i4 

1.64 

I.l5 

1.63 

i.i5 

1.63 

1. 16 

1.62 

1.17 

1.62 

1. 18 

2 

3 

2.46 

1.7-I 

2.46 

1.72 

2.45 

1.73 

2.44 

1.74 

2.43 

1.75 

2.43 

1.76 

3 

4 

3.29 
4.11 

2.28 

3.28 

2.29 

3.27 

2.3l 

3.26 

2.32 

3.25 

2.34 

3.24 

2.35 

4 

5 

2.85 

4.10 

2.87 

4.08 

2.89 

4.07 

2.90 

4.06 

2.92 

4.o5 

2.94 

5 

6 

4.93 

3.42 

4.91 

3.44 

4.90 

3.46 

4.88 

3.48 

4.87 

3.5i 

4.85 

3.53 

6 

7 
8 

^     7 

5.75 

3.99 

5.73 

4.01 

5.72 

4.04 

5.70 

4.06 

5.68 

4.09 

5.66 

4. II 

7 

6.57 

4.56 

6.55 

4.59 

6.53 

4.62 

6.5i 

4.65 

6.49 

4.67 

6.47 

4.70 

8 

9 

lO 

7.39 

5.i3 

7.37 

5.16 

7.35 

5.19 

7.33 

5.23 

7.3o 

5.26 

7.28 

5.29 

9 

8.22 

5.70 

8.19 

5.74 

8.17 

5.77 

8.i4 

5.81 

8.12 

5.84 

8.09 

5.88 

10 

1 1 

9.04 

6.27 

9.01 

6.3i 

8.98 

6.35 

8.96 

6.39 

8.93 

6.43 

8.90 

6.47 

II 

12 

9.86 

6.84 

9.83 

6.88 

9.80 

6.93 

9-77 

6.97 

9-74 

7.01 

9.71 

7.o5 

12 

i3 

10.68 

7-41 

10. 65 

7.46 

10.62 

7.50 

10. 58 

7.55 

10.55 

7.60 

10.52 

7.64 

i3 

i4 

II. 5o 

7.98 

11.47 

8.o3| 

11.43 

8.08 

I  i.4o 

8.i3 

11.36 

8.18 

11.33 

8.23 

i4 

i5 

12.32 

8.55 

12.29 

8.60 

12.25 

8.66 

12.21 

8.71 

12.17 

8.76 

12. i4 

8.82 

i5 

i6 

i3.i5 

9.12 

i3.ii 

9.18 

13.07 

9.23 

i3.o3 

9.29 

12.99 

9.35 

12.94 

9.40 

16 

17 

13.97 

9.69 

13.93 

9.75 

13.88 

9.81 

i3.84 

9.87 

i3.8o 

9.93 

13.75 

9-99 

17 

18 

14.79 

10.26 

14.74 

10. 32 

14.70 

10.39 

i4.65 

10.45 

i4.ei 

10. 52 

i4.56 

10. 58 

18 

19 

i5.6i 

I0.83 

i5.56 

10.90 

i5.52 

10.97 

i5.47 

ii.o3 

i5.42 

II. 10 

15.37 

11.17 

19 

7 

20 

16.43 

II. 4o 

16. 38 

11.47 

16.33 

11.54 

16.28 

II. 61 

16.23 

1I.6^ 

16.18 

11.76 

20 

21 

17.25 

11.97 

17.20 

12. o5 

17.15 

12.12 

17.10 

12.19 

17.04 

12.27 

16.99 

12.34 

21 

22 

18.08 

12.54 

18.02 

12.62 

17-97 

12.70 

17.91 

12.78 

17.85 

12.85 

17.80 

12.93 

22 

23 

18.90 

i3.ii 

18.84 

13.19 

18.78 

13.27 

18.72 

13.36 

18.67 

13.44 

18.61 

i3.52 

23 

24 

19.72 

i3.68 

19.66 

i3.77 

19.60 

i3.85 

19.54 

13.94 

19.48 

14.02 

19.42 

i4.i  I 

24 

25 

20.54 

i4.25 

20.48 

14.34 

20.42 

14.43 

20.35 

14.52 

20.29 

14.61 

20.23 

14.69 

25 

26 

2  1.36 

14.82 

2i.3o 

14.91 

21.23 

i5.oi 

21.17 

i5.io 

21.10 

15.19 

21. o3 

15.28 

26 

27 

22.18 

15.39 

22.12 

i5.49 

22. o5 

i5.58 

21.98 

i5.68 

21.91 

i5.77 

21.84 

15.87 

27 

28 

23.01 

15.96 

22.94 

16.06 

22.87 

16.16 

22.80 

16.26 

22.72 

i6.36 

22.65 

16.46 

28 

29 

23.83 

16.53 

23.76 

i6.63 

23.68 

16.74 

23.61 

16.84 

23.54 

16.94 

23.46 

17.05 

29 

So 

24.65 

17.10 

24.57 

17.21 

24. 5o 

17.31 

24.42 

17.42 

24.35 

17.53 

24.27 

17.63 

3o 

3i 

25.47 

17.67 

25.39 

17.78 

25.32 

17.89 

25.24 

18.00 

25.16 

18.11 

25.08 

18.22 

3i 

32 

26.29 

18.24 

26.21 

18.35 

26.13 

18.47 

26.05 

18. 58 

25.97 

18.70 

25.89 

18.81 

32 

33 

27.11 

18.81 

27.03 

18.93 

26.95 

19.05 

26.87 

19.16 

26.78 

19.28 

26.70 

19.40 

33 

34 

27.94 

19.38 

27.85 

19.50 

27.77 

19.62 

27.68 

19.74 

27.59 

19.86 

27.51 

19.98 

34 

35 

28.76 

19.95 

28.67 

20.08 

28.58 

20.20 

28.49 

20.32 

28.41 

2oA^ 

28.32 

20.57 

35 

36 

29.58 

20.52 

29.49 

20. 65 

29.40 

20.78 

29.31 

20.91 

29.22 

21. o3 

29.12 

21.16 

36 

37 

3o.4o 

21.09 

3o.3i 

21.22 

3o.22 

21.35 

3o.I2 

21.49 

3o.o3 

21.62 

29  93 

21.75 

37 

38 

3l.22 

21.66 

3i.i3 

21.80 

3i.o3 

21.93 

30.94 

22.07 

3o.84 

22.20 

30.74 

22.34 

38 

39 

32.04 

22.23 

31.95 

22.37 

31.85 

22. 5i 

31.75 

22.65 

31.65 

22.79 

31.55 

22.92 

39 

4o 

32.87 

22.80 

32.77 

22.94 

32.67 

23.09 

32.56 

23.23 

32.46 

23.37 

32.36 

23. 5i 

4o 

4i 

33.69 

23.37 

33.59 

23.52 

33.48 

23.66 

33.38 

23.81 

33.27 

23.95 

33.17 

24.10 

4i 

42 

34. 5i 

23.94 

34.40 

24.09 

34. 3o 

24.24 

34.19 

24.39 

34.09 

24.54 

33.98 

24.69 

42 

43 

35.33 

24. 5i 

35.22 

24.66 

35.12 

24.82 

35.01 

24.97 

34.90 

25.12 

34.79 

25.27 

43 

44 

36  i5 

25.08 

36.o4 

25.24 

35.93 

25.39 

35.82 

25.55 

35.71 

25.71 

35.60 

25.86 

44 

45 

36.97 

25.65 

36.86 

25.81 

36.75 

25.97 

36.64 

26.13 

36.52 

26.29 

36.4i 

26.45 

45 

46 

37.80 

26.22 

37.68 

26.38 

37.57 

26.55 

37.45 

26.71 

37.33 

26.88 

37.21 

27.04 

46 

47 

38.62 

26.79 

38. 5o 

26,96 

38.38 

27.13 

38.26 

27.29 

38.14 

27.46 

38.02 

27.63 

47 

48 

39.44 

27.36 

39.32 

27.53 

39,20 

27.70 

39.08 

27.87 

38.96 

28.04 

38.83 

28.21 

48 

49 

40.26 

27.93 

4o.i4 

28.11 

4o.02 

28.28 

39.89 

28.45 

39.77 

28.63 

39,64 

28.80 

49 

5o 

41.08 

28.5o  140.96 

28.68 

4o,83 

28.86 

40.71 

29.04 

40.58 

29.21 

40.45 

29.39 

5o 

Ml 
0 

8 
1 

m 

a 

Dep. 

Lat. 

Dep. 

Lat, 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

551^  Deg. 

55  Deg. 

54%  Deg. 

543^ 

Deg. 

54%  Deg. 

54  Deg. 

Traverse    Table. 


183 


a 

a 
n 
p 

34%  Deg. 

35  Deg. 

35%  Deg. 

351^  Deg. 

35%  Deg. 

36  Deg. 

00 

1 

s 

5i 

Lat. 

Dep. 

Lat. 
41.78 

Dep. 

Lat. 

Dep. 

I  At. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

5i 

41.90 

29.07 

29.35 

41.65 

29,43 

41.52 

29.62 

41.39 

29.80 

41.26 

29.98 

52 

42.73 

29.64 

42.60 

29.83 

42.47 

3o,oi 

42.33 

3o,20 

42.20 

30.38 

42.07 

3o.56 

52 

53 

43.55 

3o.2I 

43.42 

3o.4o 

43.28 

30,59 

43. i5 

30.78 

43.01 

30.97 

42.88 

3i.i5 

53 

54 

44.37 

30.78 

44.23 

30.97 

44.10 

3i,i7 

43.96 

31.36 

43.82 

3i,55 

43.69 

31.74 

54 

55 

45.19 

31.35 

45. o5 

3i.55 

44.92 

31.74 

44.78 

31.94 

44.64 

32.13 

44. 5o 

32.33 

55 

56 

46.01 

31.92 

45.87 

32.12 

45.73 

32.32 

45.59 

32.52 

45.45 

32.72 

45. 3o 

32.92 

56 

57 

46.83 

32.49 

46.69 

32.69 

46.55 

32.90 

46,4o 

33.10 

46.26 

33. 3o 

46.11 

33. 5o 

57 

58 

47.66 

33.06 

47.51 

33.27 

47.37 

33.47 

47.22 

33.68 

47.07 

33.89 

46.92 

34.09 

58 

59 

48.48 

33.63 

48.33 

33.84 

48.18 

34.05 

48.03 

34.26 

47.88 

34.47 

47.73 

34.68 

59 

60 

49.30 

34.20 

49.15 

34.41 

49.00 

34.63 

48.85 

34.84 

48.69 

35, o5 

48.54 

35.27 

60 

6f 

5o.I2 

34.77 

49.97 

34.99 

49.82 

35.21 

49,66 

35.42 

49.51 

35.64 

49.35 

35.85 

61 

62 

50.94 

35.34 

50.79 

35.56 

5o.63 

35.78 

5o,48 

36. 00 

5o.32 

36.22 

5o,i6 

36.44 

62 

63 

51.76 

35.91 

5i.6i 

36.14 

5i.45 

36.36 

51.29 

36.58 

5i.i3 

36.8i 

50.97 

37.03 

63 

64 

52.59 

36.48 

52.43 

36.71 

52.27 

36.94 

52, 10 

37.16 

51.94 

37-39 

51.78 

37.62 

64 

65 

53.41 

37.05 

53.24 

37.28 

53.08 

37,51 

52.92 

37.75 

52,75 

37.98 

52.59 

38.21 

65 

66 

54.23 

37.62 

54.06 

37.86 

53.90 

38,09 

53.73 

38.33 

53.56 

38.56 

53.4o 

38.79 

66 

67 

55.o5 

38.19 

54.88 

38.43 

54.71 

38,67 

54,55 

38.91 

54,38 

39.14 

54.20 

39.38 

67 

68 

55.87 

38.76 

55.70 

39.00 

55.53 

39,25 

55,36 

39.49 

55.19 

39.73 

55,01 

39.97 

68 

69 

56.69 

39.33 

56.52 

39.58 

56.35 

39.82 

56.17 

40.07 

56, 00 

4o,3i 

55.82 

4o.56 

69 

70 

57.52 

39.90 

57.34 

4o,i5 

57.16 

4o,4o 

56.99 

4o.65 

56.8i 

40.90 

56.63 

4i.i4 

70 

71 

58.34 

40,47 

58.16 

40.72 

57.98 

40,98 

57.80 

41.23 

57.62 

41.48 

57.44 

41.73 

71 

72 

59.16 

4i.o4 

58.98 

4i.3o 

58. 80 

41.55 

58.62 

41.81 

58,43 

42.07 

58.25 

42.32 

72 

73 

59.98 

41.61 

59.80 

41.87! 

59.61 

42, i3 

59.43 

42.39 

59.24 

42.65 

59.06 

42.91 

73 

74 

60.80 

42.18 

60.62 

42.44 

60.43 

42,71 

60.24 

42.97 

60.06 

43.23 

59.87 

43. 5o 

74 

75 

61.62 

42.75 

61.44 

43.02 

6[,25 

43,29 

61,06 

43.55 

60.87 

43.82 

60.68 

44.08 

75 

76 

62.45 

43.32 

62.26 

43.59 

62.06 

43,86 

61.87 

44.13 

61.68 

44.40 

61.49 

44.67 

76 

77 

63.27 

43.89 

63.07 

44.17 

62.88 

44.44 

62.69 

44.71 

62.49 

44.99 

62.29 

45.26 

77 

78 

64.09 

44.46 

63.89 

44.74 

63.70 

45,02 

63.5o 

45.29 

63.3o 

45.57 

63. 10 

45.85 

78 

79 

64.91 

45.03 

64.71 

45. 3i 

64. 5i 

45.59 

64,32 

45.88 

64.11 

46.16 

63.91 

46.43 

79 

80 

65.73 

45.60 

65.53 

45.89 

65.33 

46,17 

65.13 

46.46 

64.93 

46.74 

64.72 

47.02 

80 

81 

66.55 

46.17 

66.35 

46.46 

66. i5 

46.75 

65.94 

47.04 

65.74 

47.32 

65.53 

47.61 

81 

82 

67.37 

46.74 

67.17 

47.03 

66.96 

47.33 

66.76 

47.62 

66.55 

4791 

66.34 

48.20 

82 

83 

68.20 

47.31 

67.99 

47.61 

67.78 

47.90 

67.57 

48.20 

67.36 

48.49 

67.15 

48.79 

83 

84 

69.02 

47.88 

68.81 

48.18 

68.60 

48.48 

68,39 

48.78 

68.17 

49.08 

67.96 

49.37 

84 

85 

69.84 

48.45 

69.63 

48.75 

69,41 

49,06 

69,20 

49-36 

68.98 

49.66 

68.77 

49.96 

85 

86 

70.66 

49.02 

70.45 

49.33 

70.23 

49.63 

70,01 

49.94 

69.80 

5o.25 

69.58 

5o.55 

86 

87 

71.48 

49.59 

71.27 

49.90 

71.05 

5o.2I 

70.83 

5o.52 

70.61 

5o.83 

70.38 

5i.i4 

87 

88 

72.30 

5o.i6 

72.09 

5o.47 

71.86 

50.79 

71.64 

Si.io 

71.42 

5i.4i 

71.19 

51.73 

88 

89 

73.13 

50.73 

72.90 

5i.o5 

72.68 

51.37 

72.46 

5i.68 

72.23 

52.00 

72.00 

52. 3i 

89 

90 

73.95 

5i,3o 

73.72 

51.62 

73.50 

51.94 

73.27 

52.26 

73.04 

52.58 

72.81 

52.90 

90 

91 

74.77 

51.87 

74.54 

52.20 

74.3i 

52.52 

74.08 

52.84 

73.85 

53.17 

73.62 

53.49 

91 

92 

75.59 

52.44 

75.36 

52.77 

75.13 

53.10 

74.90 

53.42 

74.66 

53.75 

74.43 

54.08 

92 

93 

76.41 

53. ot 

76.18 

53.34 

75.95 

53.67 

75.71 

54.01 

75.48 

54.34 

75.24 

54.66 

93 

94 

77.23 

53.58 

77.00 

53.92 

76.76 

54.25 

76.53 

54.59 

76.29 

54.92  76.05 

55.25 

94 

95 

78.06 

54. i5 

77.82 

54.49 

77.58 

54.83 

77.34 

55.17 

77.10 

55.5o 

76.86 

55.84 

95 

96 

78.88 

54.73 

78.64 

55.06 

78,40 

55.41 

78.16 

55.75 

77.91 

1 

56.09  ,77.67 

56.43 

96 

97 

79.70 

55.29 

79.46 

55.64 

79,21 

55.98 

78.97 

56.33 

78.72 

56.67:78.47 

57.02 

97 

98 

80.52 

55.86 

80.28 

56.21 

80. o3 

56,56 

i  79-78 

56.91 

79.53 

57,26 

79.28 

57.60 

98 

7 

99 

81.34 

56.43 

81.10 

56.78 

8o.85 

57.14 

i  80.60 

57.49 

80.35 

57.84; 

80.09 

58.19 

99 

100 

82.16 

57.00 

81.92 

57.36 

81.66 

57.71 

81.41 

58.07 

81.16 

58.42 

80.90 

58.78 

100 

d 

0 

i 

.a 

Q 

Dep. 

Lat. 

Dep. 

Lat, 

Dep. 

lAt. 

Dep. 

lAt. 

Dep. 

Lat. 

Dep. 

I>at. 

1 

Q 

55%  Deg. 

55  Deg. 

54%  Deg. 

54K  Deg. 

54%  Deg. 

54  Deg. 

184 

Traverse    Table. 

a 

s 

a 
I 

36%  Deg. 

36K  Deg. 

36%  Deg. 

37  Deg. 

37%  Deg. 

37K  Deg. 

c 

» 

a 

a 

a 

I 

Lat 

Dep. 

Lat. 

Dep. 

Lat.    1 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

0.81 

0.59 
1,18 

0.80 

0.59 

0.80 

0.60 

0.80 

0.60 

0.80 

0.61 

0.79 

r 

0.61 

2 

I.6l 

1. 61 

1. 19 

1.60 

1.20 

1.60 

1.20 

1.59 

1. 21 

1.59 

1.22 

2 

3 

2.42 

1.77 

2.4l 

1.78 

2.4o 

1.79 

2.4o 

1.81 

2.39 

1.82 

2.38 

1.83 

3 

4 

3.23 

II 
2.37 
2.96 

3.22 

2.38 

3.20 

2.39 

3.19 

2.4l 

3.18 

2.42 

3.17 

2.43 

4 

5 

4.o3 

4.02 

2.97 

4.01 

2.99 

3.99 

3.01 

3.98 

3.o3 

3.97 

3.o4 

5 

6 

4.84 

3.55 

4.82 

3.57 

4.81 

3.59 

4.79 

3.61 

4.78 

3.63 

4.76 

3.65 

6 

7 
8 

5.65 

4.i4 

5.63 

4.16 

5.61 

4.19 

5.59 

4.21 

5.57 

4.24 

5.55 

4.26 

7 

6.45 

4.73 

6.43 

4.76 

6.4i 

4.79 

6.39 

4.81 

6.37 

4.84 

6.35 

4.87 

8 

9 

lO 

7.26 

5.32 

7.23 

5.35 

7.21 

5.38 

7.19 

5.42 

7.16 

5.45 

7.14 

5.48 

9 

8.06 

5.91 

8.o4 

5.95 

8.01 

5.98 

7-99 

6.02 

7.96 

6.o5 

7.93 

6.09 

10 

1 1 

8.87 

6.5o 

8.84 

6.54 

8.81 

6.58 

8.78 

6.62 

8.76 

6.66 

8.73 

6.70 

II 

12 

9.68 

7.10 

9.65 

7.14 

9.61 

7.18 

9.58 

t-j   22 

9.55 

7.26 

9.52 

7.3i 

12 

i3 

10. 48 

7.69 

10.45 

7.73 

10.42 

7.78 

10.38 

7.82 

10.35 

7.87 

10. 3i 

7.91 

i3 

i4 

11.29 

8.28 

11.25 

8.33 

11.22 

8.38 

II. 18 

8.43 

II. i4 

8.47 

II. 1 1 

8.52 

i4 

i5 

12.10 

8.87 

12.06 

8.92 

12.02 

8.97 

11.98 

9.03 

11.94 

9.08 

11.90 

9.13 

i5 

i6 

12.90 

9.46 

12.86 

9.52 

12.82 

9.57 

12.78 

9.63 

12.74 

9.68 

12.69 

9.74 

16 

17 

13.71 

10. o5 

13.67 

10. 1 1 

13.62  10.17 

i3.58 

10. 23 

i3.53 

10.29 

1 3.49 

10.35 

17 

i8 

i4.52 

10. 64 

14.47 

10.71 

14.42' 10.77 

i4.38 

10. 83 

14.33 

10.90 

14.28 

10.96 

18 

19 
20 

i5.32 

I  1.23 

15.27 

I  i.3o 

l5.22    11.37 

i5.i7 

11.43 

l5.I2 

I  i.5o 

15.07 

11.57 

19 

16. i3 

11.83 

16.08 

11.90 

16. o3  11.97 

15.97 

I2.o4 

15.92 

12. II 

15.87 

12.18 

20 

21 

16.94 

12.42 

16.88 

12.49 

16. 83  12.56 

16.77 

12.64 

16.72 

12.71 

16.66 

12.78 

21 

22 

17.74 

i3.oi 

17.68 

13.09 

17.63   i3.i6 

17.57 

i3.24 

17.51 

i3.32 

17.45 

13.39 

22 

23 

18.55 

i3.6o 

18.49 

i3.68 

18.43 

13.76 

18.37 

i3.84 

i8.3i 

13.92 

18.25 

14.00 

23 

24 

19.35 

14.19 

19.29 

14.28 

19.23 

i4.36 

19.17 

14.44 

19.10 

14.53 

19.04 

14.61 

24 

25 

20.16 

14.78 

20.10 

14.87 

2o.o3 

14.96 

19.97 

i5.o5 

19.90 

i5.i3 

19.83 

l5.22 

25 

26 

20.97 

15.37 

20.90 

i5.47 

20.83 

i5.56 

20.76 

i5.65 

20.70 

i5.74 

20.63 

i5.83 

26 

27 

21.77 

i5.97 

21.70 

16.06 

21.63 

i6.i5 

21.56 

16.25 

21.49 

16.34 

21.42 

16.44 

27 

28 

22.58 

[6.56 

22. 5i 

i6.65 

22.44 

16.75 

22.36 

i6.85 

22.29 

16.95 

22.21 

17.05 

28 

29 

23.39 

17.15 

23. 3i 

17.25 

23.24 

17.35 

23.16 

17-45 

23.08 

17.55 

23.01 

17.65 

29 

3o 

24.19 

17.74 

24.12 

1784 

24.04 

17.95 

23.96 

18. o5 

23.88 

18.16 

23.80 

18.26 

3o 

3i 

25.00 

18.33 

24.92 

18.44 

24.84 

18.55 

24.76 

18.66 

24.68 

18.76 

24.59 

18.87 

3i 

32 

25.81 

18.92 

25.72 

19.03 

25.64 

19.15 

25.56 

19.26 

25.47 

19.37 

25.39 

19.48 

32 

33 

26.61 

19.51 

26.53 

19.63 

26.44 

19.74 

26.35 

19.86 

26.27 

19.97 

26.18 

20.09 

33 

34 

27.42 

20.10 

27.33 

20.22 

27.24 

20.34 

27.15 

20.46 

27.06 

20.58 

26.97 

20.70 

34 

35 

28.23 

20.70 

28.13 

20.82 

28.04 

20.94 

27.95 

21.06 

27.86 

21.19 

27.77 

21. 3i 

35 

36 

29.03 

21.29 

28.94 

21. 4i 

28.85 

21.54 

28.75 

21.67 

28.66 

21.79 

28.56 

21.92 

36 

37 

29.84 

21.88 

29.74 

22.01 

29.65 

22.14 

29.55 

22.27 

29.45 

22.40 

29.35 

22.52 

37 

38 

30.64 

22.47 

3o.55 

22.60 

30.45 

22.74 

3o.35 

22.87 

3o.25 

23.00 

3o.i5 

23. i3 

38 

39 

3i.45 

23.06 

3i.35 

23.20 

31.25 

23.33 

3i.i5 

23.47 

3i.o4 

23.61 

30.94 

23.74 

39 

4o 

32.26 

23.65 

32. 1 5 

23.79 

32. o5 

23.93 

31.95 

24.07 

31.84 

24.21 

31.73 

24.35 

4o 

4i 

33.06 

24.24 

32.96 

24.39 

32.85 

24.53 

32.74 

24.67 

32.64 

24.82 

32.53 

24.96 

4i 

42 

33.87 

24.83 

33.76 

24.98 

33.65 

25.13 

33.54 

25.28 

33.43 

25.42 

33.32 

25.57 

42 

43 

34.68 

25.43 

34.57 

25.58 

34.45 

25.73 

34.34 

25.88 

34.23 

26.03 

34.11 

26.18 

43 

44 

35.48 

26.02 

35.37 

26.17 

35.26 

26.33 

35.14 

26.48 

35.02 

26.63 

34.91 

26.79 

44 

45 

36.29 

26.61 

36.17 

26.77 

36. 06 

26.92 

35.94 

27.08 

35.82 

27.24 

35.70 

27.39 

45 

46 

37.10 

27.20 

36.98 

27.36 

36.86 

27.52 

36.74 

27.68 

36.62 

27.84 

36.49 

28.00 

46 

47 

37.90 

27.79 

37.78 

27.96 

37.66 

28.12 

37.54 

28.29 

37.41 

28.45 

37.29 

28.61 

47 

48 

38.71 

28.38 

38.59 

28.55 

38.46 

28.72 

38.33 

28.89 

38.21 

29.05 

38.o8 

20.22 

48 

49 

39.52 

28.97 

39.39 

29.15 

39.26 

29.32 

39.13 

29.49 

39.00 

29.66 

38.87 

29.83 

49 

5o 

d 

a 

1 

Q 

4o.32 

29.57 

40.19 

29.74 

4o.o6 

29.92   39.93 

30.09 

39.80 

30.26 

39.67 

30.44 

5o 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

1     Dep.    1    Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

0 

53%  Deg. 

53K  Deg. 

53%  Deg. 

53  Deg. 

52%  Deg. 

53K  Deg. 

Traverse    Table. 


36>1  Deg.      361^  Beg.      36%  Deg, 


Lat. 


4i. 


45.16 

45.97 
46.77 
47.58 
48. 39 

49-19 
5o.oo 

5o.8i 

5i.6i 

52.42 


Dep. 


3o.l6 
80.75 

31.34 
81.93 
82.52 


61.29 
62.10 
62.90 
68.71 
64.52 


Lat. 


86  69.35 
70.16 
70.97 
71.77 
72.58 


73.89 
74.19 
75.00 
75.81 
76.61 

77.42 
78.28 
79.03 
79-84 
80.64 

nep. 


47.90 
48.49 
49.08 
49.67 
50.26 


Dep.        Lat.       Dep. 


4l.00 
41.80 
42.60 

48.4i 
44.21 

45.02 

45.82 


49.04 
49.84 
5o.64 
5 1. 45 

52.25 

53.o5 
58.86 
54.66 

55.47 
56.27 

57.07 

57.8S 
58.68 

59.49 
60.29 

61.09 
61.90 
62.70 
63. 5o 
64. 3i 

65.11 
65.92 
66.72 
67.52 
68.33 


53.81 
54.40 
54.99 
55.58 
56.17 

56.77 
57.86! 
57.95 
58.54 
59.18 

Lat. 


80.84 
80.98 
31.53 
82.12 
82.72 

88.3i 
33.90 
84. 5o 
35.09 
35.69 

36.28 
36.88 
87.47 
38.07 
38.66 

89.26 
89.85 

40.45 
4i.o4 
4i.64i 

42.28 
42.83 
43.42 
44.02 
44.61 


40.86 
41.67 

42.47 
43.27 
44.07 


48.88 
49.68 
5o.48 
51.28 
52.08 


37  Deg. 


Lat. 


88. 5i'  44.72 
34.10 
34.70 
35. 3o 
35.90 


48.72 
49.52 
5o.8i 
5i.i  I 
51.91 


53%  Deg. 


39.49 
40.09 
40.69 

41.28 
41.88 

42.48 
48.08 
43.68 
44.28 
44.87 


48.46 
49.06 
49.66 
50.26 
5o.86 


77.17 

77.97 
78.78 
79.58 
80.89 

Dep. 


Lat. 


531^  Deg. 


72.11  53.85 

54.45 
55.o5 
55.64 
56.24 
56.84 

57.44 
58.04 
58.64 
5g.23 
59.88 

Dep.   I.at. 

53><  Deg. 


52.71 
53. 5i 
54. 3i 
55.11 
55.90 


80.69 
81.29 
3i  .90 
82. 5o, 
33.10 


.12 


371^  Deg.      371^  Deg 


60.70 
61.49 
62.29 
63.09 
68.89 

64.69 
65.49 
66.29 
67.09 

67.88 

68.68 
69.48 
70.28 
71.08 
71.88 

72.68 

78.47 
74.27 
75.07 
75.87 

76.67 

77-47 
78.27 
79.06 
79.86 

Dep. 


Lat.    I    Dep.        Lat 


42.78 
43.33 
43.98 

44.53 
45.14 

45.74 
46.34 
46.94 
47-54 
48. i5 

48.75 
49.35 
49.95 
5o.55 
5i.i5 

51.76 
52.36 
52.96 
58.56 
54.16 

54.77 
55.87 

55.97 

56.57 

57.17 

57.77 
58.88 
58.98 
59.58 
60.18 

Lat. 


44.58 
45.87 
46.17 
46.96 
47.76 

48.56 
49.35 
5o.i5 
50.94 
51.74 

52  54 
58.38 
54.18 
54.92 
55.72 

56.52 
57.81 
58.11 
58.90 
59.70 

60. 5o 
61.29 
62.09 

62.88 
63.68 

64.48 
65.27 
66.07 
66.86 
67.66 

68.46 
69.25 
70.05 

70.84 
71.64 


53  Deg. 


30.87 
31.48 
82.08 
82.69 
33.29 

88.90 
34. 5o 
35.11 
35.71 
86.82 

36.92 
87.53 
38.13 
38.74 
89.34 

89.95 
40.55 
41.16 

41-77 
42.87 

42.98 
43.58 
44.19 
44.79 
45.40 

46.00 
46.61 

47.21 
47.82 
48.42 

49.08 
49.68 
5o.24 
5o.84 
5i.45 

52.06 
52.66 
53.27 
53.87 
54.48 


4o.46 
4i.25 
42. o5 
42.84 
43.63 

44.43 
45.22 
46.01 
46.81 
47.60 


Dep. 


48.39 
49.19 
49.98 
50.77 
51.57 

52.36 
53. i5 
58.95 

54.74 
55.53 

56.33 
57.12 
57.91 
58.71 
59.50 

60.29 
61 .09 
61.88 
62.67 
63.47 

64.26 
65.o5 
65  85 
66.64 
67.48 

68.28 
69.02 
69.82 
70.61 

71.40 


72.44  55.08 
73.281  55.69 
74.08:  56.29 
74.82  56.90 
75.62  57.50 

76.42  58.11 
77.21  58.71 
78.01  59.82 
78.80  59.92 
79.60  60.53 

Dep.       Lat. 

52%  Deg. 


3i.o5 
81.66 
82.26 
82.87 
33.48 

34.09 
34.70 
35. 3i 
35.92 
86.53 

87.18 
87.74 
38.35 
88.96 
39.57 

4o  18 
40.79 
4i.4o 
42.00 
42.61 

43.22 
43.83 
44.44 
45.o5 
45.66 

46.27 

46.87 
47.48 
48.09 
48.70 

49.81 
49.92 
5o.53 
5i.i4 

51.74 

52.35 
52.96 
53.57 
54.18 
54.79 


72.20  55. 4o 
72.99  56.01 

73.78j56.61 
74.58  57.22 


75.37 

76.16 
76.96 


57.83 

58.44 
59.05 


77.75159.66 

78.54160.27 

79.34'  60.88 

Dep.  I  I  At. 

521^  Deg. 


70 


86 
87 
88 
89 
90 

91 

92 

93 
94 
95 

96 

97 
98 

99 
100 


a 
5 


186 

T 

RAV 

ERSE     T 

A.BL  E. 

2 

i 
I 

37%  Beg. 

38  Deg. 

38K  I>eg. 

38)^  Deg. 

38%  Deg. 

39  Deg. 

o 

D 

Lat. 

Dep. 

Lat 

Dep. 
0.62 

Lai. 
0.79 

Dep. 
0.62 

l.at.    1    Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

0.79 

1.58 

0.61 

0.79 

0.78 

0.62 

0.78 

0.63 

0.78 

0.63 

1 

2 

1 .22 

1.58 

1.23 

1.57 

1.24 

1.57 

1.24 

1.56 

1.25 

1.55 

1.26 

2 

3 

2.37 
3.16 

1.84 

2.36 

1.85 

2.36 

1.86 

2.35 

1.87 

2.34 

1.88 

2.33 

1.89 

3 

4 

2.45 

3.i5 

2.46 

3.14 

2.48 

3.i3 

2.49 

3.12 

2.5o 

3.11 

2.52 

4 

5 

3.95 

3.06 

3.94 

3.08 

3.93 

3.10 

3.91 

3.11 

3.90 

3.i3 

3.89 

3.i5 

5 

6 

4.74 
5.53 

3.67 
4.29 
4.90 
5.5i 

4.73 

3.69 

4.71 

3.71 

4.70 

3.74 

4.68 

3.76 

4.66 

3.78 

6 

7 
8 

5.52 

4.3i 

5.5o 

4.33 

5.48 

4.36 

5.46 

4.38 

5.44 

4.4i 

7 

6.33 

6.3o 

4.93 

6.28 

4.95 

6.26 

4.98 

6.24 

5.01 

6.22 

5.08 

8 

9 

lO 

7.12 
7.91 

7.09 

5.54 

7.07 

5.57 

7.04 

5.60 

7.02 

5.63 

6.99 

5.66 

9  . 

6.12 

7.88 

6.16 

7.85 

6.19 

7.83 

6.23 

7.80 

6.26 

7-77 

6.29 

10 

II 

8.70 

6.73 

8.67 

6.77 

8.64 

6.81 

8.61 

6.85 

8.58 

6.89 

8.55 

6.92 

II 

12 

9.49 

7.35 

9-46 

7.39 

9.42 

7.43 

9.39 

7-4? 

9.36 

7.5i 

9.33 

7.55 

12 

i3 

10.28 

7.96 

10.24 

8.00 

10.21 

8.o5 

10.17 

8.09 

10. i4 

8.i4 

10.10 

8.18 

i3 

i4 

11.07 

/     y 

8.57 

ii.o3 

8.62 

10.99 

8.67 

10.96 

8.72 

10.92 

8.76 

10.88 

8.81 

i4 

i5 

11.86 

9.18 

11.82 

9.23 

11.78 

9.29 

11.74 

9.34 

11.70 

9.39 

11.66 

9.44 

i5 

i6 

12.65 

9.80 

12.61 

9.85 

12.57 

9.91 

12.52 

9.96 

12.48 

10,01 

12.43 

10.07 

16 

I? 

13.44 

7 

10. 4i 

i3.4o 

10.47 

i3.35 

10. 52 

i3.3o 

I0.58 

13.26 

10.64 

I  3.2  I 

10.70 

17 

i8 

i4.23 

11.02 

i4.i8 

11.08 

i4.i4 

11. i4 

14.09 

11.21 

i4.o4 

11.27 

13.99 

11.38 

18 

'9 

l5.02 

11.63 

14.97 

11.70 

14.92 

1 1.76 

14.87 

11.83 

14.82 

11.89 

14.77 

1 1.96 

19 

20 

i5.8i 

12.24 

15.76 

12. 3i 

15.71 

12.38 

i5.65 

12.45 

i5.6o 

12.52 

i5.54 

12,59 

20 

21 

16.60 

12.86 

16.55 

12.93 

16.49 

i3.oo 

16.43 

13.07 

i6.38 

i3.i4 

16.32 

l3.22 

21 

22 

17.40 

13.47 

17.34 

i3.54 

17.28 

13.62 

17.22 

13.70 

17.16 

13.77 

17.10 

1 3.84 

22 

23 

18.19 

i4.o8 

18.12 

i4.i6 

i8.o6 

14.24 

18.00 

l4.32 

17.94 

i4.4o 

17.87 

14.47 

23 

24 

18.98 

14.69 

18.91 

14.78 

i8.85 

14.86 

18.78 

14.94 

18.72 

l5.02 

i8.65 

i5.io 

24 

25 

19.77 

i5.3i 

19.70 

15.39 

19.63 

1 5.48 

19.57 

i5.56 

19.50 

i5.65 

19.43 

15.78 

25 

26 

20. 56 

15.92 

20.49 

16.01 

20.42 

16.10 

20.35 

16.19 

20.28 

16.27 

20.21 

i6.36 

26 

27 

21.35 

i6.53 

21.28 

16.62 

21.20 

16.72 

21. i3 

16.81 

21 .06 

16.90 

20.98 

16.99 

27 

28 

22.14 

17.14 

22.06 

17.24 

21.99 

17.33 

21.91 

17.43 

21.84 

17.53 

21.76 

17.62 

28 

29 

22.93 

'7-75i 

22.85 

17.85 

22.77 

17.95 

22.70 

i8.o5 

22.62 

18. i5 

22.54 

18.25 

29 

3o 

23.72 

18.37 

23.64 

18.47 

23.56 

18.57 

23.48 

18.68 

23. 4o 

18.78 

23.3i 

18.88 

3o 

3i 

24. 5i 

18.98 

24.43 

19.09 

24.34 

19.19 

24.26 

19.30 

24.18 

19.40 

24.09 

19.51 

3i 

32 

25. 3o 

19.59 

25.22 

19.70 

25.13 

19.81 

25. o4 

19.92 

24.96 

20. o3 

24.87 

20.l4 

82 

33 

26.09 

20.20 

26.00 

20.32 

25.92 

20.43 

25.83 

20.54 

25.74 

20.66 

25.65 

20.77 

33 

34 

26.88 

20.82 

26.79 

20.93 

26.70 

21. o5 

26.61 

21.17 

26.52 

21.28 

26.42 

21.4o 

34 

35 

27.67 

21.43 

27.58 

21.55 

27.49 

21.67 

27.39 

21.79 

27.30 

21.91 

27.20 

22. 03 

35 

36 

28.46 

22.04 

28.37 

22.16 

28.27 

22.29 

28.17 

22.4l 

28.08 

22.53 

27.98 

22.66 

36 

37 

29.26 

22.65 

29.16 

22.78 

29.06 

22.91 

28.96 

23.o3'28.86 

23.16 

28.75 

28.28 

37 

38 

3o.o5 

123.26 

29.94 

23.4o 

29.84 

23.53 

29.74 

23.66 

,29.64 

23.79 

29.53 

28.91 

38 

39 

30.84 

23.88 

30.73 

24.01 

30.63 

24.14 

3o.52 

24.28 

30.42 

24.41 

3o.3i 

24.54 

39 

4o 

31.63 

24.49 

31.52 

24.63 

3i.4i 

24.76 

3i.3o 

24.90 

3l.20 

25. o4 

31.09 

25.17 

4o 

4i 

82.42 

25.10 

32. 3i 

25.24 

32.20 

25.38 

32.09 

25.52 

31.98 

25.66 

31.86 

25.80 

4i 

42 

33.21 

25.71 

!  33.10 

25.86 

32.98 

26.00 

32.87 

26.15 

32.76 

26.29 

32.64 

26.48 

42 

43 

34.00 

26.33 

:  33.88 

26.47 

33.77 

26.62 

33.65 

26.771  33.53 

26.91 

33.42 

27.06 

43 

44 

34.79 

26. 9^^ 

34.67 

27.09 

34.55 

27.24 

34.43 

27. 39:34.31 

27.54 

34.19 

27.69 

44 

45 

35.58 

27.55 

35.4c 

] 

27.70 

;  35.34 

27.86 

35.22 

28.01   35.09 

28.17 

34.97 

28.32 

45 

46 

36.37 

28.16 

36.25 

28.32 

36.12 

28.48 

36.O0 

28.64  35.87 

28.79 

35.75 

28.95 

46 

47 

37.16 

28.77 

1  37.04 

28.94 

36.91 

29.10 

36.78 

29.261  36.65 

29.42 

36.53 

1  29.58 

47 

48 

37.95 

29.39 

■  37.82 

29.55 

37.7c 

29.72 

37.57 

'29.88:37.43 

3o.o4 

37.80 

3o.2I 

48 

49 

38. 7^ 

3o.oo 

:  38.6i 

30.17 

I  38.4S 

3o.34 

38.35 

,3o.5o   38.21 

30.67 

38.o8 

80.84 

49 

5o 

s 
w 

5 

39.51 

3o.6i 

39.4c 

30.78 
I,at. 

39.27 

30.95 

39.13 

(3i.i3 

38.99 

3i.3o 

38.86 

31.47 

5o 

Dep. 

I<at. 

Dep. 

Dep. 

Lat. 

Dep. 

t    Lat. 

Dep. 

Lat. 

Dep. 

1    Lat. 

§ 

1 

en 

0 

53M 

Deg. 

52  Deg. 

51%  Deg. 

511^  Deg. 

51K  Deg. 

51  Deg. 

T 

EAVERSE     T. 

A.BLE. 

187 

g 

55* 

s- 

a 
o 
9 

37%  Beg. 

38  Beg. 

38>^  Beg. 

381^  Deg. 

1 

38%  Deg. 

39  Deg. 

S' 

1 

8 

Lat. 

Dep. 

Lat. 

Dep. 
3i.4o 

Lat. 

Dep. 

Lat. 
39.91 

Dep. 

Lat. 
39.77 

Dep. 
31.92 

l.ul.    1 

Dep. 

5i 

40.33 

3l.22 

40.19 

4o.o5 

31.57 

31.75 

39.63 

32. 10 

5i 

52 

4 1 . 1  ?■ 

31.84 

40.98 

32. 01 

4o.84 

32.19 

40.70 

32.37 

40.55 

32.55 

4o.4i 

32.72 

52 

53 

41.91 

32.45 

41.76 

32.63 

41.62 

32.81 

41.48 

32.99  4i.33| 

33.17 

41.19 

33.35 

53 

54 

42.70 

33.06 

42.55 

33.25 

42.41 

33.43 

42.26 

33.62 

42.1 1 

33.80 

41.97 

33.98 

54 

55 

43.49 

33.67 

43.34 

33.86' 

43.19 

34.o5 

43.04 

34.24 

42.89 

34.43 

42.74 

34.61 

55 

56 

44.28 

34.28 

44.13 

34.48 

43.98 

34.67 

43.83 

34.86 

43.67 

35.05 

43.52 

35.24 

56 

5? 

45.07 

34.90 

44.92 

35.09' 

44.76 

35.29 

44.61 

35.48 

44.45 

35.68 

44. 3o 

35.87 

57 

58 

45.86 

35.5i 

45.70 

35.71 

45.55 

35.91 

45.39 

36.11 

45.23 

36.30 

45.07 

36. 5o 

58 

59 

46.65 

36.12 

46.49 

36.32 

46.33 

36.53 

46.17 

36.73 

46.01 

36.93 

45.85 

37.13 

59 

60 

47.44 

36.73 

47.28 

36.94 

47.12 

37.15 

46.96 

37.35 

46.79 

37.56 

46.63 

37.76 

60 

61 

48.23 

37.35 

48.07 

37.56 

47.90 

37.76 

47.74 

37-97 

47.57 

38.18 

47.41 

38.39 

61 

62 

49.02 

37.96 

48.86 

38.17 

48.69 

38.38 

48.52 

38.6o 

48.35 

38.8i 

48.18 

39.02 

62 

63 

49.81 

38.57 

49.64 

38.79 

49.47 

39.00 

49.30 

39.22 

49.13 

39.43 

48.96 

39.65 

63 

64 

5o.6o 

39.18 

5o.43 

39.40 

50.26 

39.62 

50.09 

39.84 

49.91 

4o.o6 

49.74 

40.28 

64 

65 

51.39 

39.79 

5l.22 

4o.02 

5i.o5 

40.24 

50.87 

4o.46 

50.69 

40.68 

5o.5i 

40.91 

65 

66 

52.19 

4o.4i 

52. 01 

40.63 

5i.83 

40.86 

5i.65 

41.09 

51.47 

4i.3] 

51.29 

41.54 

66 

67 

52.98 

41.02 

52.80 

41.25 

52.62 

41.48 

52.43 

41.71 

52.25 

41.94 

52.07 

42.16 

67 

68 

53.77 

41.63 

53.58 

41.86: 

53.4o 

42.10 

53.22 

42.33 

53.03 

42.56 

52.85 

42.79 

68 

69 

54.56 

42.24 

54.37 

42.48' 

54.19 

42.72 

54.00 

42.95 

53.81 

43.19 

53.52 

43.42 

69 

70 

55.35 

42.86 

55.16 

43.10 

54.97 

43.34 

54.78 

43.58 

54.59 

43.81 

54.40 

44.05 

70 

71 

56.14 

43.47 

55.95 

43.71 

55.76 

43.96 

55.57 

44.20 

55.37 

44.44 

55.18 

44.68 

71 

72 

56.93 

44.08 

56.74 

44.33 

56.54 

44.57 

56.35 

44.82 

56. i5 

45.07 

55.95 

45. 3i 

72 

73 

57.72 

44.69 

57.52 

44.94 

57.33 

45.19 

57.13 

45.44 

56.93 

45.69 

56.73 

45.94 

73 

74 

58.5i 

45. 3o 

58. 3i 

45.56 

58.11 

45.81 

57.91 

46.07 

57.71 

46.32 

57.51 

46.57 

74 

75 

59.30 

45.92 

59.10 

46.17 

58.90 

46.43 

58.70 

46.69 

58.49 

46.94 

58.29 

47.20 

75 

76 

60.09 

46.53 

59.89 

46.79 

59.68 

47.05 

59.48 

47.31 

59.27 

47.57 

59.06 

47.83 

76 

77 

60.88 

47.14 

60.68 

47.41 

60.47 

47.67 

;  60.26 

47-93 

60. o5 

48.20 

59.84 

48.46 

77 

78 

61.67 

47.75 

61.46 

48.02 

61.25 

48.29 

61.04 

48.56 

6o.83 

48.82 

60.62 

49.09 

78 

79 

62.46 

48.37 

62.25 

48.64 

62.04 

48.91 

6i.83 

49.18 

61.61 

49.45 

61.39 

49.72 

79 

80 

63.26 

48.98 

63.04 

49.25 

62.83 

49.53 

62.61 

49.80 

62.39 

50.07 

62.17 

5o.35 

80 

81 

64.o5 

49.59 

63.83 

49-87 

63.6i 

5o.i5 

63.39 

5o.42 

63.17 

50.70 

62.95 

50.97 

81 

82 

64.84 

5o.2o 

64.62 

5o.48 

64.4o 

50.77 

64.17 

5i.o5 

63.95 

5i.33 

63.73 

5 1. 60 

82 

83 

65.63 

5o.8i 

65.40 

5i.io 

65.18 

5i.38 

64.96 

51.67 

64-73 

51.95 

64. 5o 

52.23 

83 

84 

66.42 

5 1. 43 

66.19 

51.72 

65.97 

52.00 

65.74 

52.29 

65.5i 

52.58 

65.28 

52.86 

84 

85 

67.21 

52. o4 

66.98 

52.33 

66.75 

52.62 

66.52 

52.91 

66.29 

53.20 

66.06 

53.49 

85 

86 

68.00 

52.65 

67.77 

52.95 

67.54 

53.24 

67.30 

53.54 

67.07 

53.83 

66.83 

54.12 

86 

87 

68.79 

53.26 

68.56 

53.56 

68.32 

53.86 

68.09 

54.16 

67.85 

54.46 

67.61 

54.75 

87 

88 

69.58 

53.88 

69.34 

54.18 

69.1 1 

54.48 

68.87 

54.78 

;  68.63 

55.08 

68.39 

55.38 

88 

89 

70.37 

54.49 

70.13 

54.79 

69.89 

55.10 

69.65 

55.40 

'69.41 

55.71 

69.17 

56. 01 

89 

90 

71.16 

55.10 

70.92 

55.41 

70.68 

55.72 

70.43 

56.03 

70.19 

56.33 

69.94 

56.64 

90 

91 

71.95 

55.71 

71.71 

56.03 

71.46 

56.34 

71.22 

56.65 

1 

70-97 

56.96 

70.72 

57.27 

9' 

92 
93 
94 

72.74 

56.32 

72. 5o 

56.64 

72.25 

56.96 

72.00 

57.27 

'71-75 

57.58 

71.50 

57.90 

9^ 

73.53 

56.94 

73.28 

57.26 

73.03 

57.58 

172.78 

57.89 

72.53 

58.21 

72.27 

58.53 

93 

74.32 

57.55 

74.07 

57.87 

73.82 

58.19 

73.57 

58.52 

73.31 

58.84 

73.05 

59.16 

94 

r 

7^ 

95 

75.12 

58.16 

74.86 

58.49 

74.61 

58.8i 

74.35 

59.14 

74.09 

59.46 

73.83 

5979 

95 

96 

75.91 

58.77 

75.65 

59.10 

75.39 

59.43 

75.13 

59.76 

74.87 

60.09 

74.61 

60.41 

96 

97 
98 

76.70 

77. 4g 

59.39 
60.00 

76.44 
77.22 

59.72 
60.33 

76.18 
76.96 

60. o5 
60.67 

'75.91 

76.70 

6o.38 
61.01 

75.65 
76.43 

60.71 
61.34 

73.38 
76.16 

61.04 
61.67 

97 
98 

99 
100 

78.28 

60. 6I;  78.01 

60.95 

77.75 

61.29 

77-48 

61.63 

77.21 

61.97 

76.94 

62.30 

99 

79.07 

61.22   78.8c 

)  61.57 

78.53 
Dep. 

61.91 

78.26 

62.25 

77-99 

62.59 

1    Lat. 

77.71 

62.93 

1 00 

1 

U 

a 
ft 

m 

Q 

Dep. 

Lat. 

Dep. 

Lat. 

Lat. 

Dep. 

Lat. 

Dep. 

Dep. 

Lat 

5214  Deg. 

53  Beg. 

51%  Beg. 

51K  Deg. 

51 K  Deg. 

51  Beg. 

188 


Traverse    Table. 


7 
8 

9 

lO 

II 

12 

i3 

i4 
i5 


i6 
I? 


39K  Deg. 


Lilt. 


0.77 

1.55 

2.32 

3.10 

3.87 

4.65 
5.42 
6.20 
6.97 

7.74 

8.52 

9.29 

10.07 

10.84 

1 1.62 


12.39 
i3.i6 
13.94 

19  14.71 

20  i5.49 


Dep. 


391^  Deg. 


21 
22 
23 

24 

25 

26 

27 
28 
29 

3o 
3i 

32 

33 

34 
35 

36 

37 
38 

39 

4o 

4i 
42 
43 
44 
45 

46 

47 
48 

49 
5o 


16.26 
17.04 
17.81 
18.59 
19.36 

20. i3 
20.91 
21.68 

22.46 
23.23 

24.01 

24.78 

25.55 
26.33 
27.10 

27.88 
28.65 
29.43 
3o.2o 

30.98 
31.75 

32.52 

33. 3o 
34.07 
34.85 


0.63 
1.27 
1.90 
2.53 
3.16 

3.80 
4.43 
5.06 
5.69 
6.33 

6.96 
7.59 
8.23 
8.86 
9.49 

10.12 
10.76 
11.39 
12.02 
12.65 

13.29 
13.92 

14.55 
i5.i8 
15.82 

16.45 
17.08 
17.72 
18.35 
18.98 

19.61 
20.25 
20.88 
21. 5i 

22.14 
22.78 

23. 4i 

24.04 

24.68 

25. 3i 

25.94 
26.57 
27.21 
27.84 
28.47 


Lat. 


0.77 
1.54 

2.3l 

3.09 

3.86 

4.63 
5.4o 
6.17 
6.94 

7.72 

8.49 

9.26 

10. o3 

10.80 

11.57 

12.35 

l3.I2 

13.89 
i4.66 
i5.43 

16.20 
16.98 
17.75 
18.52 
19.29 

20.06 
20.83 
21.61 

22.38 

23. i5 

23.92 
24.69 
25.46 
26.24 
27.01 


Dep. 


35.62 
36. 4o 
37.17 
37.95 
38.72 


Dep.       Lat. 


29.10 
29.74 
30.37 
3 1.00 
31.64 


50%  Deg. 


27.78 
28.55 
29.32 
30.09 
3o.86 

31.64 
32. 4i 

33.18 
33.95 
34.72 

35.49 

36.27 
37.04 
37.81 
38.58 


S9%  Deg. 


Lat. 


Dep. 


0.64 
1.27 
1.91 
2.54 
3.18 

3.82 
4.45 
5.09 
5.72 
6.36 

7.00 
7.63 
8.27 
8.91 
9.54 

0.18 
0.81 
1.45 
2.09 

2.72' 

3.36 
3.99 
4.63 
5.27 
5.90 

6.54 

7.17 
7.81 
8.45 
9.08 

19.7 

20.35 

20.99 

21.63 

22.26 

22.90 
23.53 

24.17 
24.81 

25.44 

26.08 
26.72 
27.35 
27.99 
28.62 


0.77 
1.54 

2.3l 

3.08 

3.84 

4.61 
5.38 
6.i5 
6.92 
7.69 

8.46 
9.23 

9-99 
10.76 

11.53 

12. 3o 
i3.07 
i3.84 
i4.6i 
i5.38 

i6.i5 
16.91 

17.68 
18.45 
19.22 

19.99 
20.76 
21.53 
22. 3o 
23.07 

23.83 
24.60 
25.37 
26.14 
26.91 

27.68 
28.45 
29.22 
29.98 
30.75 


0.64 
1.28 
1.92 
2.56 
3.20 

3.84 
4.48 
5.12 
5.75 
6.39 

7.o3 
7.67 
8.3i 
8.95 
9.59 

10. 23 
10.87 
11. 5i 
12. i5 
12.79 

i3.43 
14.07 

14.71 
i5.35 

15.99 

i6.63 
17.26 
17.90 

18.54 
19.18 

19.82 
20.46 
21.10 
21.74 

22,38 
23.02 

23.66 
24. 3o 
24.94 
25.58 


40  Deg. 


Lat. 


Dep. 


Dep. 


29.26 
29.90 
3o.53 
31.17 
3i.8o 


3i.52  26.22 
32.29  26.86 


Lat. 


50K  Deg. 


33.06 
33.83 
34.60 

35.37 
36.14 
36.90 

37.67 
38.44 


Dep. 


27.50 
28.14 
28.77 

29.41 
3o.o5 
30.69 
31.33 
31.97 


0.77 
1.53 
2.3o 

3.06 

3.83 

4.60 
5.36 
6.i3 
6.89 
7.66 

8.43 

9.19 

9.96 

10.72 

11.49 

12.26 

l3.02 

i3.79 
i4.55 
i5.32 

16.09 
16. 85 
17.62 
18.39 
19.15 

19.92 

20.68 
21.45 
22.22 
22.98 

23.75 
24. 5i 
25.28 
26.05 
26,81 

27.58 
28.34 
29.1 1 
29.88 
30.64 


40K  Deg. 


0.64 
1.29 
1.93 
2.57 
3.21 

3.86 
4.5o 
5.i4 
5.79 
6.43 

7.07 

7.71 
8.36 
9.00 
9.64 

10.28 
10.93 
1 1.57 
12.21 

12.86 

i3.5o 

i4.i4 
14.78 
1 5.43 
16.07 

16.71 
17.36 
1 8.00 
18.64 
19.28 

19.9 

20.57 

21.21 

21.85 
22. 5o 

23. i4 
23.78 
24.43 
25.07 
25,71 


Lat. 


Dep. 


3i,4i  26.35 
32.17!  27.00 


Lat. 


50K  Deg. 


32,94 
33.71 

34.47 

35.24 
36. 00 
36.77 
37.54 
38. 3o 


Dep. 


0.76 
1.53 
2.29 
3.o5 
3.82 

4.58 
5.34 
6.11 
6.87 
7.63 

8.4o 

9.16 

9.92 

10.69 

11.45 

12.21 
12.97 
13.74 
i4.5o 
1 5.26 

16. o3 
16.79 

17.55 
18.32 
19.08 

19.84 
20.61 
21.37 


401^  Deg. 


lAt. 


0.65 
1.29 

1.94 
2.58 
3,23 

3,88 

4.52 

5,17 
5.82 
6,46 

7. II 
7.75 
8.40 
9.05 
9.69 

10.34 
10.98 
11.63 
12.28 
12.92 

x3.57 

l4.21 

14.86 

i5.5i 
i6.i5 

16.80 

17.45 
18,09 

22.l3|  18.74 
2.90    19.38 


27.64 
28.28 
28.93 

29.57 

3o.2i 
3o.85 
3i.5o 
32. i4 


Lat. 


50  Deg. 


23.66 
24.42 
25.19 
25.95 
26.71 

27.48 
28.24 
29.00 
29.77 
30.53 

31.29 
32.06 
32.82 
33.58 
34.35 

35.11 
35.87 
36.64 
37.40 
38.16 


Dep. 


20. o3 
20.68 
21,32 
21,97 
22,61 

23.26 
23.91 

24.55 
25.20 

25.84 

26.49 
27.14 
27.78 
28.43 
29.08 

29.72 
30.37 
3i.oi 
31.66 
32. 3i 


0.76 

1.52 

2.28 
3,o4 
3,80 

4.56 
5.32 
6.08 
6.84 
7.60 

8.36 

9.12 

9.89 

10.65 

1 1.4 1 

12.17 
12.93 
13.69 

14.45 

l5.21 

15.97 
16.73 

17.49 
18.25 

19.01 

19.77 

20.53 
21.29 

22. o5 

22.81 

23.57 
24.33 
25.09 

25.85 
26.61 

27.37 
28.13 
28.90 
29.66 
30.42 

3i.i8 
31.94 
32.70 
33.46 
34.22 

34.98 
35.74 
36.5o 
37.26 
38.02 


0.65 
i.3o 
1.95 
2.60 
3.25 

3.90 

4.55 
5.20 

5.84 
6.49 

7.14 

7-79 
8.44 
9.09 

9-74 


I 
2 
3 

4 
5 


7 
8 

9 
10 

1 1 
12 
i3 

i4 
i5 


10.39I  16 
ii.o4i  17 
11.69  18 
12.34 
12.99 


Dep.       Lat 


Deg. 


i3.64 
14.29 
14.94 
15.59 
16.24 

16.89 

17.54 
18.1I 
i8.83 
19.48 

20. i3 
20.78 
21.43 
22.08 
22.73 

23.38 
24.o3 

24.68 

25.33 
25.98 

26.63 

27.28 
27.93 
28.58 
29.23 

29.87 
3o.52 
31.17 
31.82 
32.47 


Dep.   Lat. 


19 

20 


49K  Deg. 


21 
22 

23 

24 

25 

26 
27 
28 
29 

3o 
3i 

32 

33 

34 
35 

36 

37 
38 
39 
40 

4i 

42 
43 

44 
45 

46 

47 
48 

49 
5o 


3 


Traverse    Table. 


189 


g 
s 

a 
o 
a 

391^  Deg. 

39%  Deg. 

39%  Deg. 

40  Deg. 

40K  Deg. 

401^  Deg. 

0 
S 

1 

5i 

Lat. 

Uep. 
32.27 

Lat. 
39.35 

Dep. 

Lat. 

1   Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

5i 

39.49 

32.44 

39.21 

32.61 

39.07 

32.78 

38.92 

32.95 

38.7b 

33. t2 

52 

40.27 

32.90 

4o.I2 

33.08 

39.98 

33.25 

39.83 

33.42 

39.69 

33.60 

39.54 

33.77 

52 

53 

4i.o4 

33.53 

40.90 

33.71 

4075 

33.89 

4o.6o 

34.07 

40.45 

34.24 

4o.3o 

34.42 

53 

54 

41.82 

34.17 

41.67 

34.35 

4i.52 

34.53 

41.37 

34.71 

4l.2I 

34.89 

4i.o6 

35.07 

54 

55 

42.59 

34.80 

42.44 

34.98 

42.29 

35.17 

42.13 

35.35 

41.98 

35.54 

41.82 

35.72 

55 

56 

43.37 

35.43 

43.21 

35.62 

43.06 

35.8i 

42.90 

36. 00 

42.74 

36.18 

42.58 

36.37 

56 

5? 

44.14 

36.06 

43.98 

36.26 

43.82 

36.45 

43.66 

36.64 

43. 5o 

36.83 

43.34 

37.02 

57 

58 

44.91 

36.70 

44.75 

36.89 

44.59 

37.09 

44.43 

37.28 

44.27 

37.48 

44.10 

37.67 

58 

59 

45.69 

37.33 

45.53 

37.53 

45.36 

37.73 

45.20 

37.92 

45.03 

38.12 

44.86 

38.32 

59 

6o 

46.46 

37.96 

46. 3o 

38.16 

46.13 

38.37 

45.96 

38.57 

45.79 

38.77 

45.62 

38-97 

60 

6r 

47.24 

38.6o 

47.07 

38.8o 

46.90 

39.01 

46.73 

39.21 

46.56 

39.41 

46.38 

39.62 

61 

62 

48. 01 

39.23 

47.84 

39.44 

47.67 

39.65 

47.49 

39.85 

47.32 

4o.o6 

47.15 

40.27 

62 

63 

48.79 

39.86 

48.61 

40.07 

48.44 

40.28 

48.26 

4o.5o 

48.08 

40.71 

47.91 

40.92 

63 

64 

49.56 

40.49 

49.38 

40.71 

49.21 

40.92 

49.03 

4i.i4 

48.85 

41.35 

48.67 

4i.56 

64 

65 

5o.34 

4i.i3 

5o.i6 

41.35 

49.97 

41.56 

49-79 

41.78 

49.61 

42.00 

49.43 

42.21 

65 

66 

5i.ii 

4r.76 

50.93 

41.98 

50.74 

42.20 

5o.56 

42.42 

50.37 

42.64 

50.19 

42.86 

66 

67 

5i.88 

42.39 

51.70 

42.62 

5i.5i 

42.84 

5i.32 

43.07 

5i.i4 

43.29 

50.95 

43.5i 

67 

68 

52.66 

43.02 

52.47 

43.25 

52.28 

43.48 

52.09 

43.71 

51.90 

43.94 

51.71 

44.16 

68 

69 

53.43 

43.66 

53.24 

43.89 

53.o5 

44.12 

52.86 

44.35 

52.66 

44.58 

52.47 

44.81 

69 

70 

54.21 

44.29 

54.01 

44.53 

53.82 

44.76 

53.62 

45.00 

53.43 

45.23 

53.23 

45.46 

70 

71 

54.98 

44.92 

54.79 

45.16 

54.59 

45.40 

54.39 

45.64 

54.19 

45.87 

53.99 

46.11 

71 

72 

55.76 

45.55 

55.56 

45.80 

55.36 

46.04 

55.16 

46.28 

54.95 

46.52 

54.75 

46.76 

72 

73 

56.53 

46.19 

56.33 

46.43 

56.13 

46.68 

55.92 

46.92 

55.72 

47.17 

55.5i 

47.41 

73 

74 

57.31 

46.82 

57.10 

47.07 

56.89 

47.32 

56.69 

47.57 

56.48 

47.81 

56.27 

48.06 

74 

75 

58.08 

47-45 

57.87 

47.71 

57.66 

47.96 

57.45 

48.21 

57.24 

48.46 

57.03 

48.71 

75 

76 

58.85 

48.09 

58.64 

48.34 

58.43 

48.60 

58.22 

48.85 

58.0I 

49.11 

57.79 

49.36 

76 

77 

59.63 

48.72 

59.42 

48.98 

59.20 

49.24 

58.99 

49.49 

58.77 

49.75 

58.55 

5o.oi 

77 

78 

60.40 

49.35 

60.19 

49.61 

59.97 

49.88 

59.75 

5o.i4 

59.53 

5o.4o 

59.31 

5o.66 

78 

79 

61.18 

49.98 

60.96 

5o.25 

60.74 

5o.52 

60.52 

50.78 

60. 3o 

5i.o4 

60.07 

5i.3i 

79 

80 

61.95 

50.62 

61.73 

50.89 

61. 5i 

5i.i6 

61.28 

5 1. 42 

61.06 

51.69 

60.83 

51.96 

80 

81 

62.73 

5i.25 

62.50 

5i.52 

62.28 

51.79 

62.05 

52.07 

61.82 

52.34 

61.59 

52.61 

81 

82 

63. 5o 

5i.88 

63.27 

52.16 

63.04 

52.43 

62.82 

52.71 

62.59 

52.98 

62.35 

53.25 

82 

83 

64.27 

52. 5i 

64.04 

52.79 

63.8i 

53.07 

63.58 

53.35 

63.35 

53.63 

63.11 

53.90 

83 

84 

65.o5 

53. i5 

64.82 

53.43 

64.58 

53.71 

64.35 

53.99 

64.11 

54.27 

63.87 

54.55 

84 

85 

65.82 

53.78 

65.59 

54.07 

65.35 

5q.35 

65.11 

54.64 

64.87 

54.92 

64.63 

55.20 

85 

86 

66.60 

54.41 

66.36 

54.70 

66.12 

54.99 

65.88 

55.28 

65.64 

55.57 

65.39 

55.85 

86 

87 

67.37 

55.05 

67.13 

55.34 

66.89 

55.63 

66.65 

55.92 

66.4o 

56.21 

66.16 

56.5o 

87 

88 

68.15 

55.68  ;67.9o| 

55.97 

67.66 

56.27 

67.41 

56.57 

67.16 

56.86' 

66.92 

57.15 

88 

89 

68.92 

56.32 

68.67 

56.6i 

68.43 

56.91! 

68.18 

57.21 

67.93 

57.50 

67.68 

57.80 

89 

90 

69.70 

56.94 

69.45 

57.25 

6g.20 

57.55 

68.94 

57.85 

68.69 

58.15 

68.44 

58.45 

90 

91 

70.47 

57.58 

70.22 

57.88 

69.96 

58.19 

69.71 

58.49 

69.45 

58.8o 

69.20 

59.10 

91 

92 

71.24 

58.21 

70.99 

58.52 

70.73 

58.83 

70.48 

59.14 

70.22 

59.44 

69.96 

59.75 

92 

93 

72.02 

58.84 

71.76 

59.16 

71. 5o 

59.47 

71.24 

59.78 

70.98 

60.09 

70.72 

60.40 

93 

94 

72.79 

59.47 

72.53 

59.79 

72.27 

60.11 

72.01 

60.42 

71.74 

60.74 

71.48 

6i.o5 

94 

95 

73.57 

60.11 

73.30 

60.43 

73.04 

60.75 

72.77 

61.06 

72.51 

61.38 

72.24 

61.70 

95 

96 

74.34 

60.74 

74.08 

61.06 

73.81 

61.39 

73.54 

61.71 

73.27 

62.03 

73.00 

62.35 

96 

97 

75.12 

61.37 

74.85 

61.70 

74.58 

62.03 

74.31 

62.35 

74. o3 

62.67 

73.76 

63.00 

97 

98 

75.89 

62.01 

75.62 

62.34 

75.35 

62.66 

75.07 

62.99 

74.80 

63.32 

74.52 

63.65 

98 

99 

76.66 

62.64 

76.39 

62.97 

76.12 

63.3o 

75.84 

63.64 

75.56 

63.97   75.28 

64. 3o 

99 

Distance.    0  ■ 

0  ■ 

77-44 

63.27! 

77.16 

63. 61 

76.88 

63.94 

76.60 

64.28 

76.32 

64.61j76.04 

64.94 

100 

Dep. 

Lat.    1 

Dep. 

Lat. 

Dep. 

I,at. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep.  1 

Lat. 

8 

a 

s 

a 

50%  Deg. 

50%  Deg. 

50K  Deg. 

50  Deg. 

49%  Deg. 

49}^  Deg. 

190 


Traverse    Table. 


5 

55' 

a 
8 

I 

40%  Deg. 

41  Deg. 

41)^  Deg. 

41K  Deg. 

41%  Deg. 

42  Deg. 

D 

Co' 

a 
n 

Lat. 

Dep. 

LaL 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

1    Lat. 

Dep. 

0.7C 

0.65 

o.7f 

)     0.66 

0.75 

0.66 

0.75 

0.66 

0.75 

0.67 

0.74 

0.67 

1 

2 

1.52 

i.3i 

i.5i 

l.3i 

i.5o 

1.32 

I.5o 

1.33 

1.49 

1.33 

1.49 

1.34 

2 

3 

2.27 

r.96 

2.2€ 

1.97 

2.26 

1.98 

2.25 

1.99 

2.2^ 

2.00 

2.23 

2.01 

3 

4 

3.o3 

2.61 

3.02 

2.62 

3.01 

2.64 

3.00 

2.65 

2.98 

2.66 

2.97 

2.68 

4 

5 

3.79 

3.26 

3.77 

3.28 

3.76 

3.3o 

3.74 

3.3i 

3.73 

3.33 

3.72 

3.35 

5 

6 

4.55 

3.92 

4.53 

3.94 

4.5i 

3.96 

4.49 

3.98 

4.48 

4.00 

4.46 

4.01 

6 

7 

5.3o 

4.57 

5.28 

4.59 

5.26 

4.62 

5.24 

4.64 

5.22 

4.66 

5.20 

4.68 

7 

8 

6.06 

5.22 

6.o4 

5.25 

6.01 

5.27 

5.99 

5.3o 

5.97 

5.33 

5.95 

5.35 

8 

9 

6.82 

5.87 

6.79 

5.90 

6.77 

5.93 

6.74 

5.96 

6.71 

5.99 

6.69 

6.02 

9 

10 

7.58 

6.53 

7.55 

6.56 

7.52 

6.59 

7.49 

6.63 

7.46 

6.66 

7.43 

6.69 

10 

II 

8.33 

7.18 

8.3o 

7.22 

8.27 

7.25 

8.24 

7.29 

8.21 

7.32 

8.17 

7.36 

II 

12 

9.09 

7.83 

9.06 

7.87 

9.02 

7.91 

8.99 

7.95 

8.95 

7-99 

8.92 

8.o3 

12 

i3 

9.85 

8.49 

9.81 

8.53 

9-77 

8.57 

9-74 

8.61 

9.70 

8.66 

9.66 

8.70 

i3 

i4 

10.61 

9.14 

10.57 

9.18 

10.53 

9.23 

10.49 

9.28 

10.44 

9.32 

io.4o 

9.37 

i4 

i5 

11.36 

9-79 

11.32 

9-84 

IX.28 

9.89 

11.23 

9.94 

II. 19 

9.99 

II. i5 

10.04 

i5 

i6 

12.12 

10.44 

12.08 

10. 5o 

I2.03 

10.55 

11.98 

10.60 

11.94 

10.65 

11.89 

10.71 

16 

17 

12.88 

11. 10 

12.83 

II. i5 

12.78 

II. 21 

12.73 

11.26 

12.68 

11.32 

12.63 

11.38 

17 

i8 

i3.64 

11.75 

i3.58 

11.81 

i3.53 

11.87 

i3.48 

11.93 

i3.43 

11.99 

13.38 

12. o4 

18 

'9 

14.39 

12.40 

14.34 

12.47 

14.28 

12.53 

14.23 

12.59 

14.18 

12.65 

14.12 

12.71 

19 

20 

i5.i5 

i3.o6 

15.09 

l3.I2 

i5.o4 

13.19 

14.98 

13.25 

14.92 

i3.32 

14.86 

i3.38 

20 

21 

15.91 

13.71 

i5.85 

13.78 

15.79 

13.85 

15.73 

13.91 

15.67 

13.98 

i5.6i 

i4.o5 

21 

22 

16.67 

i4.36 

16.60 

14.43 

16.54 

i4.5i 

16.48 

i4.58 

16.41 

i4.65 

16.35 

14.72 

22 

23 

17.42 

i5.oi 

17.36 

15.09 

17.29 

i5.i6 

17.23 

i5.24 

17.16 

i5.32 

17.09 

15.39 

23 

24 

18.18 

15.67 

18. II 

15.75 

18.04 

15.82 

17.97 

15.90 

17.91 

15.98 

17-84 

16.06 

24 

25 

18.94 

16.32 

18.87 

16.40 

18.80 

16.48 

18.72 

16.57 

18.65 

i6.65 

18.58 

16.73 

25 

26 

19.70 

16.97 

19.62 

17.06 

19.55 

i7-i4 

19.47 

17.23 

19.40 

17.31 

19.32 

17.40 

26 

27 

20.45 

17.62 

20.38 

17.71 

20. 3o 

17.80 

20.22 

17.89 

20.14 

17.98 

20.06 

18.07 

27 

28 

21.21 

18.28; 

21. i3 

18.37 

21. o5 

18.46 

20.97 

18.55 

20.89 

18.64 

20.81 

18.74 

28 

29 

21.97 

18.93 

21.89 

19.03 

21.80 

19.12 

21.72 

19.22 

21.64 

19.31 

21.55 

19.40 

29 

3o 

22.73 

19.58 

22.64 

19.68 

22.56 

19.78 

22.47 

19.88 

22.38 

19.98 

22.29 

20.07 

3o 

3i 

23.48 

20.24 

23.4o 

20.34 

23.3i 

20.44 

23.22 

20.54 

23.13 

20.64 

23.o4 

20.74 

3i 

32 

24.24 

20.89 

24. i5 

20.99 

24.06 

21.10 

23.97 

21.20 

23.87 

21. 3i 

23.78' 

21. 4i 

32 

33 

25.00 

21.54' 

24.91 

21.65 

24.81 

21.76 

24.72 

21.87 

24.62 

21.97 

24.52 

22.08 

33 

34 

25.76 

22.19 

25.66 

22. 3i 

25.56 

22.42 

25.46 

22.53 

25.37 

22.64 

25.27' 

22.75 

34 

35 

26.51 

22.85 

26.41 

22.96 

26.31 

23.08 

26.21 

23.19 

26.11 

23.31 

26.01 

23.42 

35 

36 

27.27 

23. 5o 

27.17 

23.62 

27.07 

23.74 

26.96 

23.85 

26.86 

23.97 

26.75 

24.09 

36 

37 

28.03 

24.15 

27.92 

24.27 

27.82 

24.40 

27.71 

24.52 

27.60 

24.64 

27.50 

24.76 

37 

38 

28.79 

24.80' 

28.68 

24.93 

28.57 

25.06 

28.46 

25.18 

28.35 

25.3o 

28.24j 

25.43 

38 

39 

29.54 

25.46 

29.43 

25.59 

29.32 

25.71 

29.21 

25.84 

29.10 

25.97 

28.981 

26.10 

39 

4o 

3o.3o 

26.11 

30.19 

26.24 

30.07 

26.37 

29.96 

26. 5o 

29.84 

26.64 

29.73 

26.77 

4o 

4i 

3i.o6 

26.761 

30.94 

26.90 

3o.83 

27.03 

30.71 

27.17 

30.59 

27.30 

30.47 

27.43 

4i 

42 

31.82 

27.42' 

31.70 

27.55 

3i.58 

27.69 

31.46 

27.83 

31.33 

27.97 

3l.2I 

28.10 

42 

43 

32.58 

28.07 

32.45 

28.21 

32.33 

28.35 

32.21 

28.49' 

32.08 

28.63 

31.96 

28.77 

43 

44 

33.33 

28.72 

33.21 

28.87 

33.08 

29.01 

32.95 

29.16 

32.83 

29.30 

32.70 

29.44 

44 

45 

34.09 

29.37 

33.96 

29.52 

33.83 

29.67 

33.70 

29.82 

33.57 

29.97 

33.44 

3o.ii 

45 

46 

34.85 

3o.o3 

34.72 

3o.i8 

34.58 

3o.33 

34.45 

3o.48   34.32 

3o.63 

34.18 

30.78 

46 

47 

35.61 

3o.68' 

35.47 

30.83: 

35.34 

30.99 

35.20 

3i.i4 

35.06 

3i.3o 

34.93' 

3i.45 

47 

48 

36.36 

31.33 

36.23 

31.49' 

36.09 

31.65 

35.95: 

3i.8i 

35.81 

31.96 

35.67 

32.12 

48 

49 

37.12 

31.99 

36.98 

32.15 

36.84 

32. 3i 

36.70 

32.47 

36.56 

32.63 

36.4i 

32.79 

49 

5o 

i 

s 

37.88 

32.64| 

37.74 

32.80 

37.59 

32.97 
Lat. 

37.45,33.13 

Dep.        Lat.    | 

37.30 

33.29 

37.16 

33.46 

5o 

Dep. 

I-at.    1 

Dep. 

Lat. 

Dep. 

Dep. 

Lat. 

Dep. 

Lat. 

e 

a 
a 

Q 

49K  Deg. 

49  Deg. 

48%  Deg. 

mi  Deg. 

48%  Deg. 

48  r 

)eg. 

'1 

'r  A  VERSE     T 

ABLE. 

191 

403^  Deg. 

41  Deg. 

41%  Deg. 

411^  Deg. 

41%  Deg. 

42  Dog. 

a 

a 

Lat. 

Dep. 
33.29 

Lat. 

Dep.    [ 

Lat.        Dep. 

Lat. 

Dep. 

l>at. 

Dep. 
33.96 

Lat. 

Ik'P. 

5i 

38.64 

38.49 

33.46 

38.34 

33.63 

38.20 

33.79 

38.05 

37.90 

34.13 

5i 

52 

39.39 

33.94 

39.24 

34.12 

39.10 

34.29 

38.95 

34.46 

38.79 

34.63 

38.64 

34.79 

52 

53 

4o.i5 

34.60 

4o.oo 

34.77' 

39.85 

34.95 

39.69 

35.12 

39.54 

35.29 

39.39 

35.46 

53 

54 

40.91 

35.25 

40.75 

35.431 

4o.6o 

35.60 

40.44 

35.78 

40.29 

35.96 

4o.i3 

36.13 

54 

55 

41.67 

35.90 

4i.5i 

36.08 

41.35 

36.26 

41.19 

36.44 

4i.o3 

36.62 

40.87 

36.8o 

55 

56 

42.42 

36.55 

42.26 

36.74 

42.10 

36.92 

41.94 

37.11 

41.78 

37.29 

41.62 

37.47 

56 

5? 

43.18 

37.21 

43.02 

37.40 

42.85 

37.58 

42.69 

37.77 

42.53 

37.96 

42.36 

38.14 

57 

58 

43.94 

37.86 

43.77 

38.o5 

1 

43.61 

38.24 

43.44 

38.43 

43.27 

38.62 

43.10 

38.8i 

58 

59 

44.70 

38.5i 

44.53 

38.71 

44.36 

38.90 

44.19 

39.09 

44.02 

39.29 

43.85 

39.48 

59 

60 

45.45 

39.17 

45.28 

39.36 

45.11 

39.56 

44.94 

39.76 

44.76 

39.95 

44.59 

4o.i5 

60 

61 

46.21 

39.82 

46.04 

40.02 

45.86 

4o.22 

45.69 

40.42 

45.5i 

40.62 

45.33 

40.82 

61 

62 

46.97 

40.47 

46.79 

40.68 

46.61 

40.88 

46.44 

41.08 

46.26 

41.28 

46.07 

41.49 

62 

63 

47.73 

41.12 

47.55 

4i.33j 

47.37 

41.54 

47.18 

41.75 

47.00 

41.95 

46.82 

42.16 

63 

64 

48.48 

41.78 

48. 3o 

41.99 

48.12 

42.20 

47.93 

42.41 

47.75 

42.62 

47.56 

42.82 

64 

65 

49.24 

42.43 

49.06 

42.64 

48.87 

42.86 

48.68 

43.07 

48.49 

43.28 

48.3o 

43.49 

65 

66 

5o.oo 

43.08 

49.81 

43. 3o 

49.62 

43.52 

49.43 

43.73 

49.24 

43.95 

49.05 

44.16 

66 

67 

50.76 

43.73 

50.57 

43.96' 

50.37 

44.18 

5o.i8 

44.4o 

49.99 

44.61 

49.79 

44.83 

67 

68 

5i.5i 

44.39 

5i.32 

44.61 

5i.i3 

44.84 

50.93 

45.06 

50.73 

45.28 

5o.53 

45. 5o 

68 

69 

52.27 

45.04 

52.07 

45.27 

5i.88 

45.49 

5 1. 68 

45.72 

5 1. 48 

45.95 

51.28 

46.17 

69 

70 

53.03 

45.69 

52.83 

45.92 

52.63 

46.15 

52.43 

46.38 

52.22 

46.61 

52.02 

46.84 

70 

71 

53.79 

46.35 

53.58 

46.58 

53.38 

46.81 

53.18 

47.05 

52.97 

47.28 

52.76 

47.51 

71 

72 

54.54 

47.00 

54.34 

47.24 

54.13 

47.47 

53.92 

47.71 

53.72 

47.94 

53. 5i 

48.18 

72 

73 

55. 3o 

47.65 

55.09 

47.89 

54.88 

48.13 

54.67 

48.37 

54.46 

48.61 

54.25 

48.85 

73 

74 

56.06 

48. 3o 

55.85 

48.55 

55.64 

48.79 

55.42 

49.03 

55.21 

49.28 

54.99 

49.52 

74 

75 

56.82 

48.96 

56.6o 

49.20 

56.39 

49.45 

56.17 

49.70 

55.95 

49.94 

55.74 

5o.i8 

75 

76 

57.57 

49.61 

57.36 

49.86 

57.14 

5o.ii 

56.92 

50.36 

56.70 

5o.6i 

56.48 

5o.85 

76 

77 

58.33 

5o.26 

58.11 

5o.52 

57.89 

50.77 

57.67 

5l.02 

57.45 

51.27 

57.22 

5i.52 

77 

78 

59.09 

50.92 

58.87 

5i.i7 

58.64 

5i.43 

58.42 

51.68 

58.19 

51.94 

57.97 

52.19 

78 

79 

59.85 

51.57 

59.62 

5i.83 

59.40 

52.09 

59.17 

52.35 

58.94 

52.60 

58.71 

52.86 

79 

80 

60.61 

52.22 

60.38 

52.48 

60. i5 

52.75 

59.92 

53.01 

59.68 

53.27 

59.45 

53.53 

80 

81 

6i.36 

52.87 

61. i3 

53.14 

60.90 

53.41 

60.67 

53.67 

60.43 

53.94 

60.19 

54.20 

81 

82 

62.12 

53.53 

61.89 

53.80 

6i.65 

54.07 

6i.4i 

54.33 

61.18 

54.60 

60.94 

54.87 

82 

83 

62.88 

54.i8| 

62.64 

54.45 

62.40 

54.73 

62.16 

55.00 

61.92 

55.27 

61.68 

55.54 

83 

84 

63.64 

54.83, 

63.4o 

55.11 

63. i5 

55.38 

62.91 

55.66 

62.67 

55.93 

62.42 

56.21 

84 

85 

64.39 

55.48 

64. i5 

55.76 

63.91 

56. o4 

63.66 

56.32 

63.4i 

56.6o 

63.17 

56.88 

85 

86 

65. i5 

56.14 

64.90 

56.42 

64.66 

56.70 

64.4i 

56.99 

64.16 

57.27 

63.91 

57.55 

86 

87 

65.91 

56.79' 

65.66 

57.08 

65.4i 

57.36] 

65.16 

57.65 

64.91 

57.93 

64.65 

58.21 

87 

88 

66.67 

57.44  |66.4i 

57.73 

66.16 

58.02 

65.91 

58.31 

65.65 

58. 60 

65.4o 

58.88 

88 

89 

67.42 

58. 10 

67.17 

58.39 

66.91 

58.68 

66.66 

58.971 

66.40 

59.26 

66.14 

59.55 

89 

90 

68.18 

58.75 

67.92 

59.05 

67.67 

59.34 

67.41 

59.64 

67.15 

59.93 

66.88 

60.22 

90 

91 

68.94 

59.40 

68.68 

59.70 

68.42 

60.00 

68. i5 

60. So 

67.89 

60.60 

67.63 

60.89 

91 

92 

69.70 

60. o5 

69.43 

6o.36 

69.17 

60.66 

68.90 

60.96 

68.64 

61.26 

68.37 

61.56 

K 

93 

70.45 

60.71 

70.19 

61.01 

69.92 

61.32 

69.65 

61.62 

69.38 

61.93 

69.1 1 

62.23 

93 

94 

71.21 

61.36 

70.94 

61.67 

70.67 

61.98 

70.40 

62.29 

70.13 

62.59 

69.86 

62.90 

94 

95 

71.97 

62.01 

71.70 

62.33 

71.43 

62.64 

71. i5 

62.95 

70.88 

63.26 

70.60 

63.57 

95 

96 

72.73 

62.66 

72.45 

62.98 

72.18 

63.3o 

71.90 

63.6i 

71.62 

63.92 

71.34 

64.24 

96 

7 

97 

73.48 

63. 32'!  73.21 

63.64 

72.93 

63.96 

72.65 

64.27 

72.37 

64.59 

72.08 

64.91 

97 

0 

7   ' 

98 

74.24 

63.97^73.96 

64.29 

73.68 

64.62 

73.40 

64.94 

73.1 1 

65.26 

72.83 

65.57 

98 

99 

75.00 

64.62  1  74.72 

64.95 

74.43 

65.28 

74.15 

65.6o 

73.86 

65.92 

73.57 

66.24 

99 

7  7 

100 

6 
a 
2 

a 

75.76 

65.28 

75.47 

65.6i 

75.18 

65.93 

74.90 
Dep. 

66.26 

74.61 

66.59 

74. 3i 

66.91 

100 

d 
0 

B 

3 

00 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat 

49%  Deg. 

49  Deg. 

48%  Deg. 

48K  Deg. 

48%  Deg. 

48  Deg. 

192 


Traverse    Table. 


n 
P 

I 

4234  Deg. 

423^  Deg. 

423^  Deg. 

43  Deg. 

4314  Deg. 

43M  Deg. 

• — 

0 

a 
0 

Lat.    1   Dep. 

I^t. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat.    1    Dep. 

Lat. 

Dep. 

0.74 

0.67 

0.74 

0.68 

0.73 

0.68 

0.73 

0.68 

0.73 

0.69 

0.73 

0.69 

I 

2 

1.48 

1.34 

1.47 

1.35 

1.47 

1.36 

1.46 

1.36 

1.46 

1.37 

1.45 

1.38 

2 

3 

2.22 

2.02 

2.21 

2.o3 

2.20 

2.o4 

2.19 

2.o5 

2.19 

2.06 

2.18 

2.07 

3 

4 

2.96 
3.70 

2.69 

2.95 

2.70 

2.94 

2.72 

2.93 

2.73 

2.91 

2.74 

2.90 

2.75 

4 

5 

3.36 

3.69 

3.38 

3.67 

3.39 

3.66 

3.4i 

3.64 

3.43 

3.63 

3.44 

5 

6 

4.44 

4.o3 

4.42 

4.o5 

4.4i 

4.07 

4.39 

4.09 

4.37 

4.11 

4.35 

4.i3 

6 

7 

8 

5.18 

4.71 

5.16 

4.73 

5.i4 

4.75 

5.12 

4.77 

5.10 

4.80 

5.08 

4.82 

7 

5.92 
6.66 

5.38 

5.90 

5.4o 

5.87 

5.43 

5.85 

5.46 

5.83 

5.48 

5.80 

5.5i 

8 

9 

10 

6.o5 

6.64 

6.08 

6.61 

6. II 

6.58 

6.i4 

6.56 

6.17 

6.53 

6.20 

9 

7.40 

6.72 

7.37 

6.76 

7.34 

6.79 

7.3i 

6.82 

7.28 

6.85 

7.25 

6.88 

10 

II 

8.i4 

7.40 

8. II 

7.43 

8.08 

1 

7-47! 

8.o4 

7.5o 

8.01 

7.54 

7.98 

7.57 

11 

12 

8.88 

8.07 

8.85 

8. II 

8.81 

8.l5; 

8.78 

8.18 

8.74 

8.22 

8.70 

8.26 

12 

i3 

9.62 

8.74 

9.58 

8.78 

9.55 

8.82 

9.5i 

8.87 

9.47 

8.91 

9.43 

8.95 

i3 

i4 

10. 36 

9.41 

10.32 

9-46 

10.28 

9.50, 

10.24 

9.55 

10.20 

9.59 

10.16 

9.64 

i4 

i5 

II. 10 

10.09 

11.06 

10. i3 

II. 01 

10.18 

10.97 

10. 23 

10.93 

10.28 

10.88 

10.33 

i5 

i6 

11.84 

10.76 

11.80 

10.81 

11.75 

10.86 

1 1.70 

10.91 

11.65 

10.96 

1 1.61 

1 1  01 

16 

I? 

12.58 

11.43 

12.53 

11.48 

12.48 

11.54 

12.43 

11.59 

12.38 

11.65 

12.33 

1 1.70 

17 

i8 

i3.32 

12.10 

13.27 

12.16 

l3.22 

12.22 

i3.i6 

12.28 

i3.ii 

12.33 

i3.o6 

12.39 

18 

19 

14.06 

12.77 

14.01 

12.84 

13.95 

12.90 

13.90 

12.96 

1 3.84 

l3.02 

13.78 

i3.o8 

19 

20 

14.80 

i3.45 

14.75 

i3.5i 

14.69 

i3.58 

14.63 

i3.64 

14.57 

13.70 

i4.5i 

13.77 

20 

21 

i5.54 

l4.I2 

i5.48 

14.19 

I  5.42 

14.25 

i5.36 

14.32 

i5.3o 

14.39 

i5.23 

14.46 

21 

22 

16.28 

14.79 

16.22 

14.86 

16.16 

14.93 

16.09 

1 5.00 

16.02 

15.07 

15.96 

i5.i4 

22 

23 

17.02 

1 5.46 

16.96 

i5.54 

16.89 

i5.6i 

16.82 

15.69 

16.75 

15.76 

16.68 

i5.83 

23 

24 

17.77 

16.14 

17.69 

16.21 

17.62 

16.29 

17.55 

16.37 

17-48 

16.44 

17.41 

16.52 

24 

25 

i8.5i 

i6.8i 

18.43 

16.89 

18.36 

16.97 

18.28 

17.05 

18.21 

17.13 

18. i3 

17.21 

25 

26 

19.25 

17-48 

19.17 

17.57 

19.09 

17.65 

19.02 

17.73 

18.94 

17.81 

18.86 

17.90 

26 

27 

19.99 

18. i5 

19.91 

18.24 

19.83 

18.33 

19.75 

18.41 

19.67 

18. 5o 

19.59 

18.59 

27 

28 

20.73 

i8.83 

20.64 

18.92 

20.56 

19.01 

20.48 

19.10 

20.39 

19.19 

20. 3i 

19.27 

28 

29 

21.47 

19.50 

21.38 

19.59 

21. 3o 

19.69 

21.21 

19.78 

21.12 

19.87 

2I.o4 

19.96 

29 

3o 

22.21 

20.17 

22.12 

20.27 

22. o3 

20. 36 

21.94 

20.46 

21.85 

20. 56 

21.76 

20. 65 

3o 

3i 

22.95 

20.84 

22.86 

20.94 

22.76 

2i.o4 

22.67 

21. i4 

22.58 

21.24 

22.49 

21.34 

3i 

32 

23.69 

21.52 

23.59 

21.62 

23. 5o 

21.72 

23.4o 

21.82 

23. 3i 

21.93 

23.21 

22. o3 

32 

33 

24.43 

22.19 

24.33 

22.29 

24.23 

22.40 

24. i3 

22. 5i 

24.04 

22.61 

23.94 

22.72 

33 

34 

25.17 

22.86 

25.07 

22.97 

24.97 

23.08 

24.87 

23.19 

24.76 

23. 3o 

24.66 

23.4o 

34 

35 

25.91 

23.53 

25.80 

23.65 

25.70 

23.76 

25.60 

23.87 

25.49 

23.98 

25.39 

24.09 

35 

36 

26.65 

24.21 

26.54 

24.32 

26.44 

24.44 

26.33 

24.55 

26.22 

24.67 

26.1  I 

24.78 

36 

37 

27.39 

24.88 

27.28 

25.00 

27.17 

25.12 

27.06 

25.23 

26.95 

25.35 

26.84 

25.47 

37 

38 

28.13 

25.55 

28.02 

25.67 

27.90 

25.79 

27.79 

25.92 

27.68 

26.04 

27.56 

26.16 

38 

39 

28.87 

26.22 

28.75 

26.35 

28.64 

26.47 

28.52 

26.60 

28.41 

26.72 

28.29 

26.85 

39 

4o 

29.61 

26.89 

29.49 

27.02 

29.37 

27.15 

29.25 

27.28 

29.13 

27.41 

29.01 

27.53 

40 

4i 

3o.35 

27.57 

30.23 

27.70 

3o.ii 

27.83 

29.99 

27.96 

29.86 

28.09 

29.74 

28.22 

4i 

42 

31.09 

28.24 

30.97 

28.37 

3o.84 

28.51 

30.72 

28.64 

30.59 

28.78 

30.47 

28.91 

42 

43 

31.83 

28.91 

31.70 

29.05 

31.58 

29.19 

31.45 

29.33 

3i.32 

29.46 

31.19 

29.60 

43 

44 

32.57 

29.58 

32.44 

29.73 

32. 3i 

29.87 

32.18 

3o.oi 

32. o5 

3o.i5 

31.92 

30.29 

44 

45 

33.3i 

30.26 

33.18 

3o.4o 

33.04 

30.55 

32.91 

30.69 

32.78 

30.83 

32.64 

30.98 

45 

46 

34. o5 

30.93 

33.91 

3 1. 08 

33.78 

3l.22 

33.64 

31.37 

33. 5i 

31.52 

133.37 

31.66 

46 

47 

34.79 

3i.6o 

34.65 

31.75 

34. 5i 

31.90 

34.37 

32.o5 

34.23 

32.20 

34.09 

32.35 

47 

48 

35.53 

32.27 

35.39 

32.43 

35.25 

32.58 

35.10 

32.74 

34.96 

32.89 

34.82 

33.o4 

48 

49 

36.27 

32.95 

36.13 

33.10 

35.98 

33.26 

35.84 

33.42 

35.69 

33.57 

35.54 

33.73 

49 

5o 

37.01 

33.62 

36.86 

33.78 

36.72 

33.94 

36.57 

34.10 

36.42 

34.26 

36.27 

34.42 

5o 

C 
09 

5 

0 

1 
5 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

I-at. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

47%  Deg. 

471^  Deg. 

473^  Deg. 

47  Deg. 

^Ji  Deg. 

461^  Deg. 

T 

KAVEBSE    Table. 

19.1 

a 

1 
s 

42%  Deg. 

42yi  Deg. 

42%  Deg. 

43  Deg, 

43%  Deg. 

43^  Deg. 

g 

m 

1 

• 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

lAt. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

5i 

37.75 

34.29 

37.60 

34.46 

37.45 

"34^ 

37.30 

34.78 

37.15 

34.94 

36.99 

35.11 

5i 

52 

38.49 

34.96 

38.34 

35.13 

38.18 

35. 3o 

38.03 

35.46 

37.88 

35.63 

37.72 

35.79 

52 

53 

39.23 

35.64 

39.08 

35.81 

38.92 

35.98 

38.76 

36. i5 

38.6o 

36.3i 

38.44 

36.48 

53 

54 

39.97 

36. 3i 

39.81 

36.48 

39.65 

36.66 

39.49 

36.83 

39.33 

37.00 

39.17 

37.17 

54 

55 

40.71 

36.98 

40.55 

37.16 

40.39 

37.33 

4o.22 

37.51 

4o.o6 

37.69 

39.90 

37.86 

55 

56 

41.45 

37.65 

41.29 

37.83 

4l.I2 

38.0I 

40.96 

38.19 

40.79 

38.37 

40.62 

38.55 

56 

5? 

42.19 

38.32 

42.02 

38. 5i 

41.86 

38.69 

41.69 

38.87 

41.52 

39.06 

41.35 

39.24 

57 

58 

42.93 

39.00 

42.76 

39.18 

42.59 

39.37 

42.42 

39.56 

42.25 

39.74 

42.07 

39.92 

58 

59 

43.67 

39.67 

43. 5o 

39.86 

43.32 

4o.o5 

43. i5 

40.24 

42.97 

40.43 

42.80 

4o.6i 

59 

6o 

44.41 

40.34 

44.24 

40.54 

44.06 

40.73 

43.88 

40.92 

43.70 

4i.ii 

43.52 

4i.3o 

60 

6i 

45.i5 

4t.oi 

44.97 

4l.2I 

44.79 

4i.4i 

44.61 

4i.6o 

44.43 

4i.8o 

44.25 

41.99 

61 

62 

45.89 

41.69 

45.71 

41.89 

45.53 

42.09 

45.34 

42.28 

45.16 

42.48 

44.97 

42.68 

62 

63 

46.63 

42.36 

46.45 

42.56 

46.26 

42.76 

46.08 

42.971 

45.89 

43.17 

45.70 

43.37 

63 

64 

47.37 

43.03 

47-19 

43.24 

47.00 

43.44 

46.81 

43.65 

46.62 

43.85 

46.42 

44.05 

64 

65 

48.11 

43.70 

47-92 

43.91 

47.73 

44.12 

47.54 

44.33 

47.34 

44.54 

47.15 

44.74 

65 

66 

48.85 

44.38 

48.66 

44.59 

48.47 

44.80 

48.27 

45.01 

48.07 

45.22 

47.87  45.43 

66 

67 

49.59 

45.05 

49.40 

45.26 

49.20 

45.48 

49.00 

45.69 

48.80 

45.91 

48.60 

46.12 

67 

68 

5o.33 

45.72 

5o.i3 

45.94 

49.93 

46.16 

49.73 

46.38 

49.53 

46.59 

49.33|46.8i 

68 

69 

5i.07 

46.39 

50.87 

46.62 

50.67 

46.84 

5o.46 

47.06 

5o.26 

47.28 

5o.o5 

47.50 

69 

70 

5i.82 

47.07 

5i.6i 

47.29 

5i.4o 

47.52 

51.19 

47.74 

50.99 

47-96 

50.78 

48.18 

70 

71 

52.56 

47-74 

52.35 

47-97 

52.14 

48.19 

51.93 

48.42 

51.71 

48.65 

5i.5o 

48.87 

71 

72 

53.3o 

48.41 

53.08 

48.64 

52.87 

48.87 

52.66 

49.10 

52.44 

49.33 

52.23 

49.56 

72 

73 

54.04 

49.08 

53.82 

49.32 

53.61 

49.55 

53.39 

49.79 

53.17 

5o.o2 

52.95 

5o.25 

73 

74 

54.78 

49.76 

54.56 

49.99 

54.34 

5o.23 

54.12 

5o.47 

53.90 

50.70 

53.68 

50.94 

74 

75 

55.52 

5o.43 

55.3o 

50.67 

55.07 

50.91 

54.85 

5i.i5 

54.63 

51.39 

54.40 

5i.63 

75 

76 

56.26 

5i.io 

56.o3 

5i.34 

55.81 

51.59 

55.58 

5i.83 

55.36 

52.07 

55.13 

52. 3i 

76 

77 

57.00 

51.77 

56.77 

52.02 

56.54 

52.27 

56.3i 

52. 5i 

56.08 

52.76 

55.85 

53.00 

77 

78 

57.74 

52.44 

57.51 

52.70 

57.28 

52.95 

57.05 

53.20 

56.8i 

53.44 

56.58 

53.69 

78 

79 

58.48 

53.12 

58.24 

53.37 

58.01 

53.63 

57.78 

53.88 

57.54 

54.13 

57.30 

54.38 

79 

80 

59.22 

53.79 

58.98 

54.o5 

58.75 

54.3o 

58. 5i 

54.56 

58.27 

54.81 

58.o3 

55.07 

80 

8i 

59.96 

54.46 

59.72 

54.72 

59.48 

54.98 

59.24 

55.24 

59.00 

55. 5o 

58.76 

55.76 

81 

82 

60.70 

55.13 

60.46 

55.40 

60.21 

55.66 

59.97 

55.92 

59.73 

56. i& 

59.48 

56.45 

82 

83 

61.44 

55.8r 

61.19 

56.07 

60.95 

56.34 

60.70 

56.6i 

60.45 

56.87 

60.21 

57.13 

83 

84 

62.18 

56.48 

61.93 

56.75 

61.68 

57.02 

61.43 

57.29 

61.18 

57.56 

60.93 

57.82 

84 

85 

62.9a 

57.15 

62.67 

57.43 

62.42 

57.70 

62.17 

57.97 

61.91 

58.24 

61.66 

58.5i 

85 

86 

63.66 

57.82 

63.4i 

58.10 

63.i5 

58.38 

62.90 

58.65 

62.64 

58.93 

62.38 

59.20 

86 

87 

64.4o 

58.5o 

64.14 

58.78 

63.89 

59.06 

63.63 

59.33 

63.37 

59.61 

63.11 

59.89 

87 

88 

65.i4 

59.17 

64.88 

59.45 

64.6- 

59.73 

64.36 

60.02 

64. lo 

60. 3o 

63.83 

60.58 

88 

89 

65.88 

59.84 

65.62 

6o.i3 

65.35 

60.41 

65.09 

60.70 

64.82 

60.98 

64.56 

61.26 

89 

90 

66.62 

6o.5i 

66.35 

60.80 

66.09 

61.09 

65.82 

6i.38 

65.55 

61.67 

65.28 

61.95 

90 

91 

67.36 

61.19 

67.09 

61.48 

66.82 

61.77 

66.55 

62.06 

66.28 

62.35 

66.01 

62.64 

91 

92 

68.10 

61.86 

67.83 

62.15 

67.56 

62.45 

67.28 

62.74 

67.01 

63.04 

66.73 

63.33 

92 

93 

68.84 

62.53 

68.57 

62.83 

68.29 

63.13 

68.02 

63.43 

67.74 

63.72 

67.46 

64.02 

93 

94 

69.58 

63. 20 

69.30 

63.5i 

69.03 

63.8i 

68.75 

64.11 

68.47 

64.41 

68.19 

64.71 

94 

95 

70.32 

63.87 

70.04 

64.18 

69.76 

64.49 

69.48 

64.79 

69.20 

65.09 

68.91 

65.39 

95 

96 

71.06 

64.55 

70.78 

64.86 

70.49 

65.16 

70.21 

65.47 

69.92 

65.78 

69.64 

66.08 

96 

97 

71.80 

65.22 

71.52 

65.53 

71.23 

65.84 

70.94 

66. i5 

70.65 

66.46 

70.36 

66.77 

97 

98 

72.54 

65.89 

72.25 

66.21 

71.96 

66.52 

71.67 

66.84 

71.37 

67.15 

71.09 

67.46 

98 

99 

73.28 

66.56 

72.99 

66.88 

72.70 

67.20 

72.40 

67.52 

72.11 

67.83 

71.81 

68. i5 

99 

100 

74.02 

67.24 

73.73 

67.56 

73.43 

67.88 

73.14 

68.20 

72.84 

68.52 

72.54 

68.84 

100 

g 

1 

OQ 

5 

Dep. 

Lat 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

l^t. 

Dep. 

Lat. 

Dep. 

Lat. 

6 
0 

a 

a 

s 
0 

47% 

Deg. 

47K  Deg. 

47%  Deg. 

47  Deg. 

46%  Deg. 

46«^  Deg. 

N 


194 

Traverse   T 

ABLE. 

o 

a 

• 

0 

8 

43%  Deg. 

44  Deg, 

441^  Deg. 

443^  Deg. 

44%  Deg. 

45  Deg. 

2 

Lat 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

I 

0.72 

0.69 

0.72 

0.69 

0,72 

0.70 

0.71 

0,70 

0.71 

0,71 

0.71 

0,71 

I 

2 

1.44 

1.38 

1.44 

1.39 

1,43 

I,4o 

1.43 

1,40 

1.42 

I.4l 

i.4i 

1.41 

2 

3 

2.17 

2.07 

2.16 

2.08 

2,l5 

2,09 

2.l4 

2.10 

2.l3 

2. II 

2.12 

2.12 

3 

4 

2.89 

2.77 

2.88 

2.78 

2,87 

2,79 

2,85 

2.80 

2,84 

2,82 

2,83 

2.83 

4 

5 

3.6i 

3.46 

3.60 

3.47 

3.58 

3.49 

3.57 

3,5o 

3,5.5 

3,52 

3,54 

3,54 

5 

6 

4.33 

4.i5 

4.32 

4.17 

4.3o 

4.19 

4.28 

4.21 

4.26 

4,22 

4.24 

4.24 

6 

7 
6 

5.06 

4.84 

5.o4 

4.86 

5.01 

4.88 

4.99 

4.91 

4.97 

4.93 

4.95 

4.95 

7 

5.78 

5,53 

5.75 

5.56 

5.73 

5.58 

5.71 

5.61 

5,68 

5,63 

5.66 

5.66 

8 

9 

lO 

6.5o 

6.22 

6.47 

6.25 

6.45 

6.28 

6,42 

6.3i 

6.39 

6,34 

6.36 

6.36 

9 

7.22 

6.92 

7.19 

6,95 

7.16 

6.98 

7.i3 

7,01 

7.10 

7.04 

7.07 

7,07 

10 

II 

7.95 

7.61 

7.91 

7.64 

7.88 

7.68 

7.85 

7.71 

7.81 

7-74 

7.78 

7.78 

II 

12 

8.67 

8.3o 

8,63 

8,34 

8.60 

8.37 

8,56 

8,4i 

8.52 

8,45 

8.49 

8.49 

12 

i3 

9.39 

8.99 

9.35 

9.03 

9.3i 

9.07 

9.27 

9.1 1 

9.23 

9,i5 

9.19 

9.19 

i3 

i4 

10. 1 1 

9,68 

10.07 

9.73 

10. o3 

9-77 

9.99 

9.81 

9.94 

9.86 

9.90 

9,90 

i4 

i5 

I0.84 

10.37 

10.79 

10,42 

10,74 

10.47 

10.70 

1 0,5 1 

io,65 

io,56 

10.61 

10,61 

i5 

i6 

n.56 

11,06 

II, 5i 

II, II 

11,46 

II. 16 

II. 4i 

11,21 

11.36 

11,26 

II. 3i 

II. 3i 

16 

'7 

12.28 

1 1.76 

12,23 

11.81 

12. i8 

11,86 

12. i3 

11.92 

12.07 

11.97 

12.02 

12.02 

17 

i8 

1 3,00 

12.45 

12,95 

12, 5o 

12.89 

12,56 

12.84 

12.62 

12.78 

12.67 

12.73 

12,73 

18 

'9 

13.72 

i3.i4 

13,67 

l3,20 

i3.6i 

13.26 

i3.55 

i3.32 

i3,49 

i3.38 

1 3.43 

i3,43 

19 

20 

14.45 

i3,83 

14.39 

13.89 

14.33 

13,96 

14.26 

14.02 

14.20 

14.08 

14.14 

i4.i4 

20 

21 

15.17 

i4.52 

i5.ii 

14.59 

i5.o4 

i4.65 

14.98 

14.72 

14.91 

14.78 

i4.85 

i4.85 

21 

22 

15.89 

l5.2I 

i5.83 

15.28 

15.76 

i5.35 

15.69 

1 5.42 

15.62 

i5.49 

i5,56 

i5.56 

22 

23 

16.61 

15.90 

16.54 

15.98 

16.47 

16. o5 

16.40 

16.12 

16.33 

16.19 

16,26 

16,26 

23 

24 

17.34 

i6.6o 

17.26 

16.67 

17,19 

16.75 

17.12 

16.82 

17.04 

16.90 

16.97 

16.97 

24 

25 

18.06 

17.29 

17.98 

17,37 

17.91 

17.44 

17.83 

17.52 

17.75 

17.60 

17,68 

17.68 

25 

26 

18.78 

17,98 

18.70 

18.06 

18.62 

18.14 

18.54 

18.22 

18.46 

i8.3o 

i8,38 

i8.38 

26 

27 

19.50 

18.67 

19.42 

18.76 

19.34 

18.84 

19.26 

18.92 

19.17 

19.01 

19.09 

19.09 

27 

28 

20.23 

19.36 

20. i4 

19,45 

20.06 

19.54 

19,97 

19.63 

19.89 

19.71 

19.80 

19.80 

28 

29 

20,95 

20. o5 

20.86 

20, 1 5 

20,77 

20.24 

20.68 

20.33 

20.60 

20,42 

20.5l 

20.5l 

29 

3o 

21.67 

20.75 

21.58 

20.84 

21.49 

20.93 

21.40 

21, o3 

21. 3i 

21,12 

21.21 

21,21 

3o 

3i 

22.39 

21.44 

22. 3o 

21.53 

22,21 

21.63 

22.11 

21,73 

22,02 

21.82 

21.92 

21,92 

3i 

32 

23.12 

22. i3 

23.02 

22.23 

22.92 

22,33 

22.82 

22.43 

22,73 

22.53 

22.63 

22,63 

32 

33 

23.84 

22.82 

23.74 

22.92 

23.64 

23, o3 

23.54 

23.13 

23.44 

23.23 

23.33 

23.33 

33 

34 

24.56 

23. 5i 

24.46 

23.62 

24.35 

23.72 

24.25 

23.83 

24. i5 

23.94 

24.04 

24.04 

34 

35 

25.28 

24.20 

25,18 

24.3l 

25.07 

24.42 

24.96 

24.53 

24.86 

24.64 

24.75 

24,75 

35 

36 

26.01 

24.89 

25,90 

25. 01 

25.79 

25.12 

25.68 

25.23 

25.57 

25.34 

25.46 

25.46 

36 

37 

26.73 

25.59 

26.62 

25.70 

26.50 

25.82 

26.39 

25.93 

26.28 

26.05 

26.16 

26.16 

37 

38 

27.45 

26.28 

27.33 

26.40 

27.22 

26.52 

27.10 

26.63 

26.99 

26.75 

26.87 

26.87 

38 

39 

28.17 

26.97 

28.05 

27.09 

27.94 

27.21 

27.82 

27.34 

27.70 

27.46 

27.58 

27.58 

39 

4o 

28.89 

27.66 

28.77 

27.79 

28.65 

27.91 

28.53 

28.04 

28.41 

28.16 

28.28 

28.28 

4o 

4i 

29.62 

28.35 

29.49 

28.48 

29.37 

28.61 

29.24 

28.74 

29.12 

28.86 

28.99 

28.99 

4i 

42 

3o.34 

29. o4 

3o.2I 

29.18 

3o.o8 

29.31! 

29.96 

29.44 

29.83 

29.57 

29.70 

29.70 

42 

43 

3i.o6 

29.74 

3o.g3 

29.87 

3o.8o 

3o.oo 

30.67 

3o.i4 

3o.54 

30.27 

3o.4i 

3o.4i 

43 

44 

31.78 

3o.43 

31.65 

3o.56 

3i.52 

30,70 

3i,38 

3o.84 

31.25 

30.98 

3i.ii 

3i.ii 

44 

45 

32. 5i 

3l.I2 

32.37 

31.26 

32,23 

3i.4o 

32,10 

31.54 

31.96 

3 1,68 

31.82 

3i,82 

45 

46 

33.23 

3i.8i 

33.09 

31.95 

32.95 

32. 10 

32, 81 

32,24 

32.67 

32.38 

32.53 

32.53 

46 

47 

33.95 

32. 5o 

33.81 

32.65 

33.67 

32.80 

33.52 

32.94 

33.38 

33.09 

33.23 

33.23 

47 

48 

34.67 

33.19 

34.53 

33.34 

34.38 

33.49 

34.24 

33.64 

34.09 

33.79 

33.94 

33.94 

48 

49 

35. 4o 

33.88 

35.25 

34.04 

35.10 

34.19 

34.95 

34.34 

34.80 

34.5o 

34.65 

34.65 

49 

5o 

a 

36.12 

34.58 

35.97 

34.73 

35.82 

34.89 

35.66 

35.o5 

35.5i 

35.20 

35.36 

35.36 

5o 

0 

ca 

DO 

5 

Dep.    1    LAt. 

Dep.    1   Lat 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

Dep. 

Lat. 

463^  Deg. 

46  Deg. 

45%  Deg. 

45K  Deg. 

45%  Deg. 

45  Deg. 

Traverse  Table. 


195 


43%  Deg. 


a 
a 
a 


5i 

52 

53 

54 
55 

56 

5? 
58 
59 
6o 

6i 
62 
63 

64 
65 

66 
67 
68 
69 
70 

71 
72 

73 
74 
75 

76 

77 
78 

79 
80 

81 
82 

83 

84 
85 

86 
87 
88 
89 
90 

91 
92 

93 

94 
95 

96 

97 
98 

99 
100 


Lat.   Dep. 


36.84 
37.56 
38.29 
39.01 
39.73 

40.45 
4i.i7 
41.90 
42.62 
43.34 

44.06 

44.79 
45.5i 
46.23 
46.95 

47.68 
48.4o 
49.12 
49.84 
50.57 

51.29 

52.01 
52.73 
53.45 
54.18 

54.90 
55.62 
56.34 
57.07 

57-79 

58.5i 
59.23 
59.96 
60.68 
61.40 

62.12 
62.85 
63.57 
64.29 
65. 01 

65.74 
66.46 
67.18 
67.90 
68.62 

69.35 
70.07 
70.79 
71. 5i 
72.24 


44  Deg. 


Lat.   Dep. 


35.27 
35.96 
36.65 
37.34 
38.03 

38.72 
39.42 
4o.i  1 
40.80 
41.49 

42.18 
42.87 
43.57 
44.26 
44.95 

45.64 
46.33 

47.02 

47.71 
48.41 

49.10 

49-79 
5o.48 

51.17 

5 1. 86 

52.55 
53.25 
53.94 
54.63 
55.32 

56. 01 
56.70 
57.40 
58.09 

58.78 

59.47 
60.16 
6o.85 
61.54 
62.24 

62.93 
63.62 
64. 3i 
65.00 
65.69 

66.39 
67.08 
67.77 
68.46 
69.15 


Dep. 


36.69 

37.41 
38.12 
38.84 
39.56 

40.28 
4 1. 00 
41.72 
42.44 
43.16 

43.88 
44.60 
45.32 
46  o4 
46.76 

47.48 

48 

48.92 

49.63 

5o.35 

51.07 
51.79 
52. 5i 
53.23 
53.95 

54.67 
55.39 
56.11 
56.83 
57.55 

58.27 
58.99 
59.71 
60.42 
61. i4 

61.86 
62.58 
63. 3o 
64.02 
64.74 

65.46 
66.18 
66.90 
67.62 
68.34 

69.06 
69.78 
70.50 
71 .21 
71.93 


Lat. 


46K  Deg. 


35.43 
36.12 
36.82 
37.51 
38.21 

38.90 
39.60 
40.29 
40.98 
41.68 

42.37 
43.07 
43.76 
44.46 
45. i5 

45.85 
46.54 
47.24 

47.93 
48.63 

49.32 
5o.o2 
50.71 
5 1.40 

52.10 

52.79 
53.49 

54.18 
54.88 
55.57 

56.27 
56.96 
57.66 
58.35 
59.05 

59.74 
60.44 
61. i3 
61.82 
62.52 

63.21 
63. gi 
64.60 
65. 3o 
65.99 

66.69 
67.38 
68.08 
68.77 
69.47 


44%  Deg. 


Lat 


Dep. 


36.53 
37.25 
37.96 
38.68 
39.40 

4o.ii 
40.83 
41.55 
42.26 
42.98 

43.69 

44.41 
45.13 

45.84 
46.56 

47.28 

47-99 

48.71 

49.42 
5o.i4 

5o.86 
51.57 
52,29 
53.01 
53.72 

54.44 
55.16 
55.87 
56.59 
57.30 

58.02 
58.74 
59.45 
60.17 
60.89 

61.60 
62.32 
63.03 
63.75 
64.47 

65. 18 
65.90 
66.62 
67.33 
68.o5 

68.76 
69.48 
70.20 
70.91 
71.63 


M}4  Deg. 


Lat.    I    Dep. 


Dep. 


Lat. 


46  Deg. 


35.59 
36.29 
36.98 
37.68 
38.38 

39.08 

39-77 

40.47 

41.17 
41.87 

42.57 
43.26 
43.96 
44.66 
45.36 

46.o5 
46.75 
47.45 
48. i5 
48.85 

49.54 
5o.24 
50.94 
5i.64 
52.33 

53.03 
53.73 

54.43 
55.13 
55.82 

56.52 
57.22 
57.92 
58.6i 
5g.3i 

60.01 
60.71 
61.41 
62.10 
62.80 

63. 5o 
64.20 
64.89 
65.59 
66.29 

66.99 
67.69 
68.38 
69.08 
69.78 


Dep. 


36.38 
37.09 
37.80 
38.52 
3g.23 

39.94 
40.66 
41.37 
42.08 
42.79 

43.5i 
44.22 
44.93 
45.65 
46.36 

47-07 
47-79 
48. 5o 

49.21 
49.93 

5o.64 
5i.35 
52.07 
52.78 
53.49 

54.21 
54.92 
55.63 
56.35 
57.06 

57.77 
58.49 
59.20 
59.91 
60.63 

61.34 
62. o5 
62.77 
63.48 


44%  Deg. 


Lat.       Dep. 


Lat. 


45%  Deg. 


35.75 
36.45 
37.15 
37.85 
38.55 

39.25 
39.95 
4o.65 
41.35 
42. o5 

42.76 
43.46 
44.16 
44.86 
45.56 

46.26 
46.96 
47.66 
48.36 
49.06 

49.76 
5o.47 
51.17 
51.87 
52.57 

53.27 
53.97 
54.67 
55.37 
56.07 

56.77 

57.47 
58.18 
58.88 
59.58 

60.28 
60.98 
61.68 
62.38 


64.19  63.08 


64.91 
65.62 
66.33 
67.05 


63.78 
64.48 
65. 18 
65.89 


67.76  66.59 

68.47  67.29 
69.19  67.99 
69.90  68.69 
69.39 

70.09 

1 

Dep.    I    Lat. 


70.61 
71.33 


36.22 

36.93 
37.64 

38.35 
39.06 

39.77 
4o.48 
41.19 
41.90 
42.61 

43.32 
44.03 
44.74 
45.45 
46.16 

46.87 
47-58 
48.29 
49.00 
49.71 

5o.42 
5i.i3 
5 1. 84 
52.55 
53.26 

53.97 
54.68 
55.39 
56.10 
56.8i 

57.52 
58.24 
58.95 
59.66 
60.37 

61.08 
61.79 
62.50 
63.21 
63.92 

64.63 
65.34 
66.o5 
66.76 
67.47 

68.18 
68.89 
69.60 
70.31 
71.02 


45K  r>eg. 


35.90 
36.6i 
37.31 
38.02 
38.72 

39.42 
4o.i3 

4o.83 
41.54 
42.24 

42.94 
43.65 
44.35 
45.06 
45.76 

46.46 

47-17 

47.87 

48.58 
49.28 

49-98 
50.69 
51.39 
52. 10 
52.80 

53. 5i 
54.21 
54.91 
55.62 
56.32 

57.03 
57.73 
58.43 
59.14 
59.84 

60.55 
61.25 
61.95 
62.66 
63.36 

64.07 

64.77 
65.47 
66.18 
66.88 

67.59 
68.29 
68.99 
69.70 
70.40 


45  Deg. 


Lat       Dep. 


36.06 

36.77 
37.48 
38.18 
38.89 

39.60 
4o.3i 
41.01 
41.72 
42.43 

43.13 

43.84 
44.55 
45.25 
45.96 

46.67 
47.38 
48.08 
48-79 
49.50 

5o.2o 
50.91 
5i  .62 
52.33 


Dep. 


36.06 

36.77 

37.48 
38.18 
38.89 

39.60 
4o.3] 
4i.oi 
41.72 
42.43 

43.13 

43.84 
44.55 
45.25 
45.96 

46.67 
47.38 
48. o& 
48.79 
49.50 

5o.2o 
50.91 
51.62 
52.33 


53.o3  53. o3 


Lat 


45%  Deg. 


53.74 
54.45 
55.i5 
55.86 
56.57 

57.28 
57.98 
58.69 
59.40 
60.10 

60.81 
61.52 
62.23 
62.93 
63.64 


53.74 
54.45 
55.i5 
55.86 
56.57 

57.28 
57.98 
58.69 
59.40 
60.10 

60.81 
61.52 
62.23 
62.93 
63.64 


64.35  64.35 
65. o5  65. o5 
65.761  65.76 
66.47;  66.47 
67.18,67.18 

67.88  67.88 
68.59' 68.59 
69.30  69.30 
70.00  70.00 
70.71  70.71 


Dep. 


a 


Lat 


45  Deg. 


5i 

52 

53 

54 
55 

56 

57 

58 

59 
60 

61 
62 
63 

64 
65 

66 
67 
68 
69 
70 

71 

72 

73 
74 
75 

76 

77 

78 

79 
80 

81 
82 
83 
84 
85 

86 
87 
88 
89 
90 

91 

92 

93 

94 
95 

96 

97 

98 

99 
100 


s 


196 


Meridional   Paets. 


LATITUDE. 

Min. 

0° 

1° 

2° 

3° 

4° 

5° 

6° 

70 

8° 

9° 

10° 

11° 

12° 

Min. 

o 

o.c 

)  60. c 

>  120. c 

)  180. 1 

240.2 

3oo.4 

360.7 

421. 1 

481.6 

542.2 

6o3.i 

664.1 

725.3 

0 

I 

I  .c 

)  61.C 

21. c 

)  81. 1 

4l.2 

01.^ 

61.7 

22.1 

82.6 

43.3 

o4.i 

65.1 

26.3 

I 

o 

2.C 

)  62. c 

22. c 

82.1 

42.2 

02./ 

62.7 

23.1 

83.6 

44.3 

o5.i 

66.1 

27.4 

2 

3 

3.C 

)  63.C 

23.0 

83.1 

43.2 

o3.4 

63.7 

24.1 

84.6 

45.3 

06.1 

67.1 

28.4 

3 

4 

4.C 

>  64.0 

24.0 

84.1 

44.2 

04.4 

64.7 

25.1 

85.6 

46.3 

07.1 

68.2 

29.4 

4 

5 

5.C 

)  65.0 

25.0 

85.1 

45.2 

o5.4 

65.7 

26.1 

86.6 

47.3 

08.2 

69.2 

3o.5 

5 

6 

6.C 

66.0 

26.0 

86.1 

46.2 

06.4 

66.7 

27.1 

87.6 

48.3 

09.2 

70.2 

3i.5 

6 

7 

7.C 

67.0 

27.0 

87.1 

47.2 

07.4 

67.7 

28.1 

88.6 

49.3 

10.2 

71.2 

32.5 

7 

8 

8.0 

68.0 

28.0 

88.1 

48.2 

08.4 

68.7 

29.1 

89.6 

5o.3 

1 1.2 

72.2 

33.5 

8 

9 

9.0 

69.0 

29.0 

89.1 

49.2 

09.4 

69.7 

3o.i 

90.7 

5i.4 

12.2 

73.3 

34.5 

9 

10 

10. 0 

70.0 

i3o.o 

190. 1 

25o.2 

3io.4 

370.7 

43i.i 

491.7 

552.4 

6i3.2 

674.3 

735.6 

10 

1 1 

II.O 

71.0 

3i.o 

91. 1 

5l.2 

11.4 

71.7 

32.1 

92.7 

53.4 

l4.2 

75.3 

36.6 

II 

12 

12.0 

72.0 

32.0 

92.1 

52.2 

12.4 

72.7 

33.1 

93.7 

54.4 

i5.3 

76.3 

37.6 

12 

i3 

i3.o 

73.0 

33.0 

93.1 

53.2 

i3.4 

73.7 

34.2 

94.7 

55.4 

16.3 

77.3 

38.6 

i3 

i4 

i4.o 

74.0 

34.0 

94.1 

54.2 

i4.4 

74.7 

35.2 

95.7 

56.4 

17.3 

78.4 

39.6 

i4 

i5 

i5.o 

75.0 

35.0 

95.1 

55.2 

i5.4 

75.7 

36.2 

96.7 

57.4 

18.3 

79-4 

40.7 

i5 

i6 

16.0 

76.0 

36.0 

96.1 

56.2 

16.4 

76.8 

37.2 

97-7 

58.4 

19.3 

80.4 

41.7 

16 

•7 

17.0 

77-0 

37.0 

97.1 

57.2 

17.5 

77.8 

38.2 

98.7 

59.4 

20.3 

81.4 

42.7 

17 

i8 

18.0 

78.0 

38.0 

98.1 

58.2 

18.5 

78.8 

39.2 

99.8 

60.5 

21.3 

82.4 

43.7 

18 

19 

19.0 

79.0 

39.0 

99.1 

59.2 

19.5 

79.8 

4o.2 

5oo.8 

61.5 

22.4 

83.5 

44.8 

J9 

20 

20.0 

80.0 

i4o.o 

200.1 

260.2 

320.5 

38o.8 

441.2 

5oi.8 

562.5 

623.4 

684.5 

745.8 

20 

21 

21.0 

81.0 

4i.o 

01. 1 

61.3 

21.5 

81.8 

42.2 

02.8 

63.5 

24.4 

85.5 

46.8 

21 

22 

22.0 

82.0 

42.0 

02.1 

62.3 

22.5 

82.8 

43.2 

o3.8 

64.5 

25.4 

86.5 

47.8 

22 

23 

23.0 

83.0 

43.0 

o3.i 

63.3 

23.5 

83.8 

44.2 

04.8 

65.5 

26.4 

87.5 

48.9 

23 

24 

24.0 

84.0 

44.0 

o4.i 

64.3 

24.5 

84.8 

45.2 

o5.8 

66.6 

27.4 

88.6 

49.9 

24 

25 

25.0 

85.0 

45.0 

o5.i 

65.3 

25.5 

85.8 

46.3 

06.8 

67.6 

28.5 

89.6 

r 
00.9 

25 

26 

26.0 

86.0 

46.0 

06.1 

66.3 

26.5 

86.8 

47.3 

07.8 

68.6 

29.5 

90.6 

5 1. 9 

26 

27 

27.0 

87.0 

47.0 

07.1 

67.3 

27.5 

87.8 

48.3 

08.9 

69.6 

3o.5 

91.6 

53.0 

27 

28 

28.0 

88.0 

48.0 

08.1 

68.3 

28.5 

88.8 

49.3 

09.9 

70.6 

3i.5 

92.6 

54.0 

28 

29 

29.0 

89.0 

49.0 

09.1 

69.3 

29.5 

89.8 

5o.3 

10.9 

71.6 

32.5 

93.6 

55.0 

29 

3o 

3o.o 

90.0 

i5o.o 

210. 1 

270.3 

330.5 

390.8 

45i.3 

5i  1.9 

572.6 

633.5 

694.7 

756.0 

3o 

3i 

3i.o 

91.0 

5i.o 

II. I 

71.3 

3i.5 

91.8 

52.3 

12.9 

73.7 

34.6 

95.7 

57.1 

3i 

32 

32.0 

92.0 

52.0 

12. 1 

72.3 

32.5 

92.9 

53.3 

13.9 

74.7 

35.6 

96.7 

58.1 

32 

33 

33.0 

93.0 

53.1 

i3.i 

73.3 

33.5 

93.9 

54.3 

14.9 

75.7 

36.6 

97-7 

59.1 

33 

34 

34.0 

94.0 

54.1 

i4.i 

74.3 

34.5 

94.9 

55.3 

i5.9 

76.7 

37.6 

98.7 

60.1 

34 

35 

35.0 

95.0 

55.1 

i5.i 

75.3 

35.5 

95.9 

56.3 

16.9 

77-7 

38.6 

99.8 

61.1 

35 

36 

36.0 

96.0 

56.1 

16. 1 

76.3 

36.5 

96.9 

57.3 

18.0 

78.7 

39.6 

700.8 

62.2 

36 

3? 

37.0 

97.0 

57.1 

17.1 

77.3 

37.5 

97-9 

58.4 

19.0 

79-7 

40.7 

01.8 

63.2 

37 

38 

38.0 

98.0 

58.1 

18. 1 

78.3 

38.5 

98.9 

59.4 

20.0 

80.8 

41.7 

02.8 

64.2 

38 

39 

39.0 

99.0 

59.1 

19. 1 

79.3 

39.6 

99.9 

60.4 

21.0 

81.8 

42.7 

o3.8 

65.2  39 

4o 

4o.o 

100. 0 

160. 1 

220.2 

280.3 

340.6 

400.9 

461.4 

522. 0 

582.8 

643.7 

704.9 

766.3 

4o 

4i 

4i.o 

01. 0 

61. 1 

21.2 

81.3 

4i.6 

01.9 

62.4 

23.0 

83.8 

44.7 

o5.9 

67.3 

4i 

42 

42.0 

02.0 

62.1 

22.2 

82.3 

42.6 

02.9 

63.4 

24.0 

84.8 

45.8 

06.9 

68.3 

42 

43 

43.0 

o3.o 

63.1 

23.2 

83.3 

43.6 

03.9 

64.4 

25. 0 

85.8 

46.8 

07.9 

69.3 

43 

44 

44.0 

o4.o 

64.1 

24.2 

84.3 

44.6 

04.9 

65.4 

26.0 

86.8 

47.8 

09.0 

70.4 

44 

45 

45.0 

o5.o 

65.1 

25.2 

85.3 

45.6 

o5.9 

66.4 

27.1 

87.9 

48.8 

1 0.0 

71.4 

45 

46 

46.0 

06.0 

66.1 

26.2 

86.3 

46.6 

07.0 

67.4 

28.1 

88.9 

49-8 

II.O 

72.4 

46 

47 

47.0 

07.0 

67.1 

27.2 

87.3 

47.6 

08.0 

68.4 

29.1 

89.9 

5o.8 

12.0 

73.4 

47 

48 

48.0 

08.0 

68.1 

28.2 

88.3 

48.6 

09.0 

69.5 

3o.i 

90.9 

5i.9 

i3.i 

74.5 

48 

49 

49.0 

09.0 

69.1 

29.2 

89.3 

49.6 

10. 0 

70.5 

3i.i 

91.9 

52.9 

14.1 

75.5 

49 

5o 

5o.o 

IIO.O 

170. 1 

23o.2 

290.3 

35o.6 

4ii.o 

471.5 

532.1 

592.9 

653.9 

7x5.1 

776.5 

5o 

5i 

5i.o 

II.O 

71. 1 

3l.2 

91.3 

5i.6 

12.0 

72.5 

33.1 

93.9 

54.9 

16.1 

77.5 

5i 

52 

5  2.0 

12.0 

72.1 

32.2 

92.4 

52.6 

i3.o 

73.5 

34.1 

95.0 

55.9 

17. 1 

78.6 

52 

53 

53.0 

I  3.0 

73.1 

33.2 

93.4 

53.6 

i4.o 

74.5 

35.1 

96.0 

57.0 

18.2 

79.6 

53 

54 

54.0 

i4.o 

74.1 

34.2 

94.4 

54.6 

i5.o 

75.5 

36.2 

97.0 

58.0 

19.2 

80.6 

54 

55 

55.0 

i5.o 

75.1 

35.2 

95.4 

55.6 

16.0 

76.5 

37.2 

98.0 

59.0 

20.2 

81.7 

55 

56 

56.0 

16.0 

76.1 

36.2 

96.4 

56.6 

17.0 

77.5 

38.2 

99.0 

60.0 

21.2 

82.7 

56 

57 

57.0 

17.0 

77-1 

37.2 

97-4 

57.6 

18.0 

78.5 

39.2 

600.0 

61.0 

22.3 

83.7 

57 

58 

58.0 

18.0 

78.1 

38.2 

98.4 

58.6 

19.0 

79.5 

4o.2 

01. 0 

62.1 

23.3 

84-7 

58 

59 

59.0 

19.0 

79.1 

39.2  99.4 

59.7 

20.0 

80.5 

4l.2 

02.1 

63.1 

24.3 

85.8 

59 

Meridional   Parts. 


197 


LATITUDE. 

i 

13° 

14° 

15° 

16° 

17° 

18° 

19° 

20° 

21° 

22° 

23° 

24° 

a 

o 

786.8 

848.5 

910.5 

972.7 

I035.3 

1098.2 

1161.5 

1225.1 

1289.2 

1353.7 

i4i8.6 

I484.I 

0 

I 

87.8 

49.5 

II. 5 

73.8 

36.3 

99.3 

62.5 

26.2 

90.3 

54.8 

19.7 

85.2 

I 

2 

88.8 

5o.5 

12.6 

74.8 

37.4 

1 100.3 

63.6 

27.3 

91.3 

55.8 

20.8 

86.3 

2 

3 

89.9 

5i.6 

i3.6 

75.9 

38.4 

01.4 

64.7 

28.3 

92.4 

56.9 

21.9 

87.3 

3 

4 

90.9 

52.6 

i4.6 

76.9 

39.5 

02.4 

65.7 

29.4 

93.5 

58.0 

23.0 

88.4 

4 

5 

91.9 

53.6 

i5.7 

78.0 

40.5 

o3.5 

66.8 

3o.4 

94.5 

59.0 

24.1 

89.5 

5 

6 

92.9 

54.7 

16.7 

79.0 

4i.6 

o4.5 

67.8 

3i.5 

95.6 

60.1 

25.1 

90.6 

6 

7 

94.0 

55.7 

17.7 

80.0 

42.6 

o5.6 

68.9 

32.6 

96.7 

61.2 

26.2 

91.7 

7 

8 

95.0 

56.7 

18.8 

81. 1 

43.7 

06.6 

70.0 

33.6 

97.8 

62.3 

27.3 

92.8 

/ 

8 

9 

96.0 

57.8 

19.8 

82.1 

44.7 

07.7 

71.0 

34.7 

98.8 

63.4 

28.4 

93.9 

9 

10 

797.0 

858.8 

920.8 

983.2 

1045.8 

1 108.7 

1172.1 

1235.8 

1299.9 

1364.5 

1429.5 

1495.0 

10 

II 

98.1 

59.8 

21.9 

84.2 

46.8 

09.8 

73.1 

36.8 

i3oi.o 

65.6 

3o.6 

96.1 

II 

12 

99.1 

60.9 

22.9 

85.2 

47-9 

10.8 

74.2 

37.9 

02.0 

66.6 

3i.7 

97.2 

12 

i3 

800.1 

61.9 

23.9 

86.3 

48.9 

11.9 

75.2 

39.0 

o3.i 

67.7 

32.8 

98.3 

i3 

i4 

01.2 

62.9 

25. 0 

87.3 

49.9 

12.9 

76.3 

4o.o 

o4.2 

68.8 

33.9 

99.4 

i4 

i5 

02.2 

64.0 

26.0 

88.4 

5i.o 

i4.o 

77-4 

4i.i 

o5.3 

69.9 

34.9 

i5oo.5 

i5 

i6 

o3.2 

65.0 

27.0 

89.4 

52.0 

i5.o 

78.4 

42.2 

06.3 

70.9 

36.0 

01.6 

16 

17 

o4.2 

66.0 

28.1 

90.4 

53.1 

16.1 

79.5 

43.2 

07.4 

72.0 

37.1 

02.7 

17 

i8 

o5.3 

67.1 

29.1 

91.5 

54.1 

17. 1 

80.5 

44.3 

08.5 

73.1 

38.2 

o3.8 

18 

19 

06.3 

68.1 

3o.i 

92.5 

55.2 

18.2 

81.6 

45.4 

09.6 

74.2 

39.3 

04.9 

19 

20 

807.3 

869.1 

931.2 

993.6 

io56.2 

1 1 1  9.2 

1 1  82.7 

1246.4 

i3io.6 

1375.3 

1 440.4 

i5o6.o 

20 

21 

08.4 

70.1 

32.2 

94.6 

57.3 

20.3 

83.7 

47.5 

II. 7 

76.4 

4i.5 

07.1 

21 

22 

09.4 

71.2 

33.3 

95.6 

58.3 

21.3 

84.8 

48.6 

12.8 

77-4 

42.6 

08.2 

22 

23 

10.4 

72.2 

34.3 

96.7 

59.4 

22.4 

85.8 

49.6 

i3.8 

78.5 

43.7 

09.3 

23 

24 

11.4 

73.2 

35.3 

97-7 

60.4 

23.4 

86.9 

5o.7 

14.9 

79.6 

44.8 

10.4 

24 

25 

12.5 

74.3 

36.3 

98.8 

61.4 

24.5 

88.0 

5i.8 

16.0 

80.7 

45.8 

II.5 

25 

26 

i3.5 

75.3 

37.4 

99.8 

62.5 

25.5 

89.0 

52.8 

17. 1 

81.8 

46.9 

12.6 

26 

27 

i4.5 

76.3 

38.4 

1000.8 

63.5 

26.6 

90.1 

53.9 

18. 1 

82.8 

48.0 

i3.7 

27 

28 

i5.5 

77-4 

39.5 

01.9 

64.6 

27.6 

91. 1 

55.0 

19.2 

83.9 

49.1 

i4.8 

28 

29 

i6.6 

78.4 

4o.5 

02.9 

65.6 

28.7 

92.2 

56.0 

20.3 

85.0 

5o.2 

i5.9 

29 

3o 

817.6 

879.4 

941.6 

1004.0 

1066.7 

II  29.7 

1193.2 

1257. 1 

i32i.4 

I386.I 

i45i.3 

i5i7.o 

3o 

3i 

18.6 

80.5 

42.6 

o5.o 

67.7 

3o.8 

94.3 

58.2 

22.5 

87.2 

52.4 

18.1 

3i 

32 

19.6 

81.5 

43.6 

06.1 

68.8 

3i.8 

95.4 

59.2 

23.5 

88.3 

53.5 

19.2 

32 

33 

20.7 

82.5 

44.7 

07.1 

69.8 

32.9 

96.4 

60.3 

24.6 

89.4 

54.6 

20.3 

33 

34 

21.7 

83.6 

45.7 

08.1 

70.9 

34.0 

97.5 

61.4 

25.7 

90.4 

55.6 

21.4 

34 

35 

22.7 

84.6 

46.7 

09.2 

72.0 

35.1 

98.5 

62.4 

26.7 

91.5 

56.7 

22.5 

35 

36 

23.8 

85.6 

47-8 

10.2 

73.0 

36.1 

99.6 

63.5 

27.8 

92.6 

57.8 

23.6 

36 

37 

24.8 

86.7 

48.8 

II.3 

74.1 

37.2 

1200.7 

64.6 

28.9 

93.7 

58.9 

24.7 

37 

38 

25.8 

87.7 

49.9 

12.3 

75.1 

38.2 

01.7 

65.6 

3o.o 

94.8 

60.0 

25.8 

38 

39 

26.9 

88.7 

50.9 

i3.4 

76.2 

39.3 

02.8 

66.7 

3i.i 

95.8 

61. 1 

26.9 

39 

4o 

827.9 

889.8 

951.9 

1014.4 

1077.2 

ii4o.3 

1203.9 

1267.8 

i332.i 

1396.9 

1462.2 

i528.o 

4o 

4i 

28.9 

90.8 

53.0 

i5.4 

78.3 

4i.4 

04.9 

68.8 

33.2 

98.0 

63.3 

29.1 

4i 

42 

29.9 

91.8 

54.0 

16.5 

79.3 

42.4 

06.0 

69-9 

34.3 

99.1 

64.4 

3o.2 

42 

43 

3i.o 

92.9 

55.1 

17.5 

80.4 

43.5 

07.1 

71.0 

35.3 

l400.2 

65.5 

3i.3 

43 

44 

32.0 

93.9 

56.1 

18.6 

81.4 

44.6 

08.1 

72.1 

36.4 

01.3 

66.6 

32.4 

44 

45 

33.0 

94.9 

57.1 

19.6 

82.5 

45.6 

09.2 

73.1 

37.5 

02.4 

67.7 

33.5 

45 

46 

34.1 

96.0 

58.2 

20.6 

83.5 

46.7 

10.2 

74.2 

38.6 

o3.4 

68.8 

34.6  46  1 

47 

35.1 

97.0 

59.2 

21.7 

84.6 

47-7 

II. 3 

75.3 

39.7 

o4.5 

69.8 

35.7 

47 

48 

36.1 

98.0 

60.2 

22,7 

85.6 

48.8 

12.4 

76.3 

40.7 

o5.6 

70.9 

36.8 

48 

49 

37.2 

99.1 

61.3 

23.8 

86.7 

49-9 

1 3.4 

77-4 

4i.8 

06.7 

72.0 

37.9 

49 

5o 

838.2 

900.1 

962.3 

1024.8 

1087.7 

ii5o.9 

12x4.5 

1278.5 

1342.9 

1407.8 

1473. 1 

1539.0 

5o 

5i 

39.2 

01. 1 

63.4 

25.9 

88  8 

52. 0 

i5.5 

79.5 

44.0 

08.8 

74.2 

4o.i 

5i 

52 

4o.2 

02.2 

64.4 

26.9 

89.8 

53.0 

16.6 

80.6 

45.1 

09.9 

75.3 

4l.2 

52 

53 

4i.3 

o3.2 

65.5 

28.0 

90.9 

54.1 

17.7 

81.7 

46.1 

II.O 

76.4 

42.3 

53 

54 

42.3 

o4.3 

66.5 

29.0 

91.9 

55.1 

18.7 

82.8 

47-2 

12. 1 

77.5 

43.4 

54 

55 

43.3 

o5.3 

67.5 

3o.i 

93.0 

56.2 

19.8 

83.8 

48.3 

l3.2 

78.6 

44.5 

55 

56 

44.4 

06.3 

68.6 

3i.i 

94.0 

57.2 

20.9 

84.9 

49.4 

i4.3 

79-7 

45.6 

56 

57 

45.4 

07.4 

69.6 

32.2 

95.1 

58.3 

21.9 

86.0 

5o.4 

i5.4 

80.8 

46.7 

57 

58 

46.4 

08.4 

70.7 

33.2 

96.1 

59.4 

23.0 

87.0 

5i.5 

16.5 

81.9 

47.8 

58 

59 

47/'!  09.4 

71.7 

34.3 

97.2 

60.4 

24.1 

88.1 

52.6 

17.5 

83.0 

48.959 

198 


Meridional   Parts. 


LATITUDE. 

Min. 

25° 

26° 

27° 

28° 

29° 

30° 

31° 

32° 

33° 

34° 

35° 

Min. 

o 

[  55o.o 

1616.5 

1683.5 

1751.2 

[819.4 

1888.4 

1958.0  ' 

2028.4 

2099.5 

2171.5 

2244.3 

0 

T 

5 1. 1 

17.6 
18.7 
19.8 
20.9 
22.0 

84.6 

52.3 

20.6 

89.5 

59.2 

29.6 

2100.7 

72.7 

45.5 

I 

A 
Q 

62.2 

85.8 

53.4 

21.7 

90.7 

60.4 

30.7 

01.9 

73.9 

46.8 

2 

3 

53.3 

86.9 

54.6 

22.9 

91.9 

61.6 

31.9 

o3.i 

75.1 

48.0 

3 

4 
5 

54  4 

88.0 

55.7 

24.0 

93.0 

62.7 

33.1 

o4.3 

76.3 

49.2 

4 

55.5 

89.1 

56.8 

25.2 

94.1 

63.9 

34.3 

o5.5 

77.5 

5o.4 

5 

6 

56.6 

23.2 

90.3 

58.0 

26.3 

95.3 

65.0 

35.5 

06.7 

78.7 

5i.6 

6 

7 

8 

57.7 

58.8 

24.3 

91.4 

59.1 

27.5 

96.5 

66.2 

36,7 

07.9 

80.0 

52.9 

7 

25.4 

92.5 

60.2 

28.6 

97.6 

67.4 

37.8 

09.1 

81.2 

54.1 

8 

9 

59.9 

26.5 

93.6 

61.4 

29.7 

98.8 

68.5 

39.0 

10.3 

82.4 

55.3 

9 

10 

i56i.o 

1627.6 

1694.8 

[762.5 

[83o.9 

1899.9 

1969.7 

2040.2 

2III.5 

2183.6 

2256.5 

10 

1 1 

62.1 

28.7 

95.9 

63.6 

32.0 

1901.1 

70.9 

4i.4 

12.7 

84.8 

57.8 

II 

12 

63.2 

29.8 
3i.o 

97.0 

64.8 

33.2 

02.3 

72.0 

42.6 

i3.9 

86.0 

59.0 

12 

i3 

64.4 

98.1 

65.9 

34.3 

o3.4 

73.2 

43.8 

i5.i 

87.2 

60.2 

i3 

i4 

65.5 

32.1 

99.3 

67.0 

35.5 

o4.6 

74.4 

44.9 

16.3 

88.4 

61.4 

i4 

i5 

66.6 

33.2 

7  7 

1700.4 

68.2 

36.6 

o5.7 

75.6 

46.1 

17.5 

89.6 

62.7 

i5 

i6 

67.7 

34.3 

01.5 

69.3 

37.8 

06.9 

76.8 

47.3 

18.7 

90.8 

63.9 

16 

17 
i8 

68.8 

35.4 

02.6 

70.5 

38.9 

08.1 

77-9 

48.5 

19.8 

92.0 

65.1 

17 

69.9 
71.0 

36.5 

o3.8 

71.6 

4o.i 

09.2 

79.1 

49.7 

21.0 

93.3 

66.3 

18 

19 

37.6 

04.9 

72.7 

4l.2 

10.4 

80.2 

5o.8 

22.2 

94.4 

67.5 

19 

20 

1572. 1 

i638.8 

1706.0 

1773.9 

1842.4 

1911.5 

1981.4 

2052.0 

2123.4 

2195.7 

2268.8 

20 

21 

73.2 

39.9 

07.1 

75.0 

43.5 

12.7 

82.6 

53.2 

24.6 

96.9 

70.0 

21 

22 

74.3 

7     7 

4i.o 

08.3 

76.1 

44.6 

i3.8 

83.7 

54.4 

25.8 

98.1 

71.2 

22 

23 

75.4 

42.1 

09.4 

77.2 

45.8 

1 5.0 

84-9 

55.6 

27.0 

99.3 

72.5 

23 

24 

76.5 

43.2 

10.5 

78.4 

46.9 

16.2 

86.1 

56.8 

28.2 

2200.5 

73.7 

24 

25 

77.6 

44.3 

11.6 

79.5 

48.1 

17.3 

87.3 

58.0 

29.4 

01 .7 

74.9 

25 

26 

78.7 

45.5 

12.8 

80.6 

49.2 

18.5 

88.4   59.11 

3o.6 

o3,o 

76.1 

26 

27 
28 

79.8 

46.6 

i3.9 

81.8 

5o.4 

19.6 

89.6 

60.3 

3i.8 

o4.2 

77.4 

27 

80.9 

l^l-l 

1 5.0 

83.0 

5i.5 

20.8 

90.8 

61.5 

33.0 

o5.4 

78.6 

28 

29 

82.1 

48.8 

16. 1 

84.1 

52.7 

21.9 

92.0 

62.7 

34.2 

c6.6 

79.8 

29 

3o 

i583.2 

1649.9 

1717.3 

1785.2 

1853.8 

1923.1 

1993.1 

2063.9 

2135.4 

2207.8 

2281.0 

3o 

3i 

84.3 

5i.o 

18.4 

86.4 

55.0 

24.3 

94.3 

65.1 

36.6 

09.0 

82,3 

3i 

32 

85.4 

52.2 

19.5 

87.5 

56.1 

25.4 

95.5 

66,2 

37.8 

10.2 

83,5 

32 

33 

86.5 

53.3 

20.7 

88.6 

57.2 

26.6 

96.6 

67.4 

39.0 

11.4 

84.7 

33 

34 

87.6 

54.4 

21.8 

89.8 

58.4 

27.8 

97.8 

68.6 

4o.2 

12.7 

86.0 

34 

35 

88.7 

55.5 

22.9 

90.9 

59.6 

28.9 

99.0 

69.8 

4i.4 

13.9 

87.2 

35 

36 

89.8 
90.9 

56.6 

24.0 

92.1 

60.7 

3o.i 

2000.2 

71.0 

42.6 

i5.i 

88.4 

36 

37 

57.8 

25.2 

93.2 

61.9 

31.3 

01.3 

72,2 

43,8 

16.3 

89.7 

37 

38 

7          7 

92,0 

58.9 

26.3 

94.3 

63.0 

32.4 

02.5 

73.4 

45.0 

17.5 

90.9 

38 

39 

93.1 

60.0 

27.4 

95.5 

64.2 

33.6 

03.7 

74.5 

46.2 

18.7 

92.1 

39 

4o 

1594.3 

1661. 1 

1728.6 

1796.6 

i865.3 

1934.7 

2004.9 

2075.7 

2147.4 

2219.9 

2293.3 

4o 

4i 

95.4 

62.2 

29.7 

97.8 

66.5" 

35.9 

06.0 

76.9 

48.6 

21.2 

94.6 

4i 

42 

96.5 

63,4 

3o.8 

98.9 

67.6 

37.1 

07.2 

78.1 

49.8 

22.4 

95.8 

42 

43 

97.6 

64.5 

3i.9 

1800.0 

68.8 

38.2 

08.4 

79.3 

5i.o 

23,6 

97.0 

43 

44 

98.7 

65.6 

33.1 

01.2 

69.9 

39.4 

09.6 

80.5 

52.2 

24.8 

98.3 

44 

45 

99.8 

66.7 

34.2 

02.3 

71.1 

40.5 

10.7 

81.7 

53.4 

26.0 

99.5 

45 

46 

1600.9 

67.8 

35.3 

o3.5 

72.2 

41.7 

II. 9 

82.9 

54.6 

27.2 

2300.7 

46 

47 

02.0 

69.0 

36.5 

04.6 

73.4 

42.9 

i3.i 

84.0 

55.8 

28.5 

02,0 

47 

48 

o3.i 

70.1 

37.6 

05.7 

74.5 

44.0 

i4.3 

85.2 

57.0 

29.7 

o3.2 

48 

49 

o4.2 

71.2 

38.7 

06.9 

75.7 

45.2 

i5.4 

86.4   58.2 

30.9 

o4.4 

49 

5o 

i6o5.4 

1672.3 

1739.9 

1808.C 

1876.8 

1946./ 

2016.6 

2087.6 

2159./ 

2232.1 

23o5.7 

5o 

5i 

06. S 

73.ZI 

4i.c 

)   09,2 

78.C 

47.5 

17.8 

88.S 

60.7 

33.3 

06.5 

5i 

52 

o7.f 

)   74.J 

)    42. T 

10.2 

79.2 

48.7 

19. c 

90. c 

)   61.9 

34.6 

08.1 

52 

53 

08,' 

]      75.' 

]         43.S 

!    11./ 

\      80.; 

>   49.^ 

20.2 

91.^ 

!   63,1 

35.e 

09./ 

53 

54 

09. J 

J   76.^ 

^  44./ 

I  i2.e 

)   8i.f 

)   5i.c 

)    21.2 

92./ 

1   64.2 

37.C 

)   10.6 

)  54 

55 

10  ( 

)   77-< 

?  45.: 

)   i3.' 

1         82,( 

)    52.2 

22. f 

>   93.( 

5   65. J 

38.2 

!    li.e 

!  55 

56 

12. ( 

3   79-< 

5  46.( 

5   i4.( 

)      83.J 

\      53,/ 

1    23.' 

r   94.^ 

\      66,' 

?   39,/ 

i3,i 

56 

57 

i3. 

I   8o.' 

2  47.* 

\      16. ( 

3   84.( 

?   54.J 

)    24.1 

)      96.< 

)   67, c 

)   4o.' 

]      i4.: 

\    57 

58 

i4. 

2   81. 

3  48.( 

?   17-' 

I      86. 

55.' 

7   26. ( 

)   97. 

[   69,1 

41.C 

)      i5,f 

)  58 

59 

i5. 

4  82. 

i   5o.( 

D    18.' 

5   87,. 

2   56.( 

?   27.! 

J   98.3   70,3   43. 

16.^ 

<    59 

Meridional  Pakts. 


199 


LATITUDE. 

Min. 

36° 

37° 

38° 

39° 

40° 

41° 

42° 

43° 

44° 

45° 

46° 

Min. 

o 

23i8.o 

2392.6 

2468.3 

2545.0 

2622.7 

2701.6 

2781.7 

2863.1 

2945.8 

3o3o.o 

iii5.6 

0 

I 

19.2 

93.9 

69.5 

46.2 

24.0 

02.9 

83.1 

64.5 

47.2 

3i.4 

17.0 

I 

2 

20.5 

95.1 

70.8 

47.5 

25.3 

o4.3 

84.4 

65.8 

48.6 

32.8 

18.5 

2 

3 

21.7 

96.4 

72.1 

48.8 

26.6 

o5.6 

85.8 

67.2 

5o.o 

34.2 

19.9 

3 

4 

23.0 

97-7 

73.4 

5o.i 

27.9 

06.9 

87., 

68.5 

5i.4 

35.6 

21.4 

4 

5 

24.2 

98.9 

74.6 

5i.4 

29.2 

08.3 

88.5 

70.0 

52.8 

37.0 

22.8 

5 

6 

25.4 

2400.2 

75.9 

52.7 

3o.5 

09.6 

89.8 

71.3 

54.2 

38.4 

24.2 

6 

7 

26.7 

01.4 

77.1 

54.0 

31.9 

10.9 

91.2 

72.7 

55.6 

39.8 

25.7 

7 

8 

27.9 

02.7 

78.5 

55.3 

33.2 

12.2 

92.5 

74.1 

57.0 

4i.3 

27.1 

8 

9 

29.1 

o3.9 

79-7 

56.6 

34.5 

i3.5 

93.8 

75.4 

58.3 

42.7 

28.5 

9 

lO 

2330.4 

24o5.2 

2481.0 

2557.8 

2635.8 

2714.9 

2795.1 

2876.8 

2959.8 

3o44.i 

3i3o.o 

10 

II 

3i.6 

06.4 

82.2 

59.1 

37.1 

16.2 

96.5 

78.2 

61. 1 

45.5 

3i.5 

1 1 

12 

32.9 

07.7 

83.5 

60.4 

38.4 

17.5 

97-9 

79.5 

62.5 

47-0 

32.9 

12 

i3 

34.1 

09.0 

84.8 

61.7 

39.7 

18.9 

99.3 

80.9 

63.9 

48.4 

34.3 

i3 

i4 

35.3 

10.2 

86.1 

63.0 

4i.o 

20.2 

2800.6 

82.3 

65.3 

49-8 

35.8 

i4 

i5 

36.6 

II. 5 

87.4 

64.3 

42.3 

21.5 

02.0 

83.7 

66.7 

5l.2 

37.2 

i5 

i6 

37.8 

12.7 

88.6 

65.6 

43.6 

22.9 

o3.3 

85.0 

68.1 

52.6 

38.7 

16 

I? 

39.0 

i4.o 

89.9 

66.9 

44.9 

24.2 

04.7 

86.4 

69.5 

54.1 

4o.i 

17 

i8 

4o.3 

l5.2 

91.2 

68.2 

46.3 

25.5 

06.0 

87.8 

70.9 

55.5 

4i.6 

18 

19 

41.5 

16.5 

92.4 

69.5 

47.6 

26.8 

07.3 

89.1 

72.3 

56.9 

43.0 

19 

20 

2342.8 

2417.8 

2493.7 

2570.7 

2648.9 

2728.2 

2808.8 

2890.5 

2973.7 

3o58.3 

3i44.5 

20 

21 

44.0 

19.0 

95.0 

72.0 

5o.2 

29.5 

10. 1 

91.9 

75.1 

59.7 

45.9 

21 

22 

45.3 

20.3 

96.3 

73.3 

5i.5 

3o.8 

1 1.4 

93.3 

76.5 

61.2 

47.4 

22 

23 

46.5 

21.5 

97.6 

74.6 

52.8 

32.2 

12.8 

94.7 

77-9 

62.6 

48.8 

23 

24 

47.7 

22.8 

98.8 

75.9 

54.1 

33.5 

i4.i 

96.0 

79.3 

64.0 

5o.3 

24 

25 

49.0 

24.0 

25oo.i 

77.2 

55.5 

34.8 

i5.5 

97.4 

80.7 

65.4 

5i.7 

25 

26 

5o.2 

25.3 

01.4 

78.5 

56.8 

36.2 

16.8 

98.8 

82.1 

66.9 

53.2 

26 

27 

5i.5 

26.5 

02.7 

79.8 

58.1 

37.5 

18.2 

2900.2 

83.5 

68.3 

54.6 

27 

28 

52.7 

27.8 

03.9 

81. 1 

59.4 

38.8 

19.5 

01.5 

84.9 

69.7 

56.1 

28 

29 

54.0 

29.1 

o5.2 

82.4 

60.7 

4o.2 

20.9 

02.9 

86.3 

71. 1 

57.5 

29 

3o 

2355.2 

2430.3 

25o6.5 

2583.7 

2662.0 

2741.5 

2822.3 

2904.3 

2987.7 

3072.6 

3159.0 

3o 

3i 

56.5 

3i.6 

07.8 

85.0 

63.3 

42.9 

23.6 

o5.7 

89.1 

74.0 

60.4 

3i 

32 

57.7 

32.9 

09.0 

86.3 

64.6 

44.2 

25. 0 

07.1 

90.5 

75.4 

61.9 

32 

33 

58.9 

34.1 

10.3 

87.6 

66.0 

45.5 

26.3 

08.4 

91.9 

76.9 

63.3 

33 

34 

7 

60.2 

35.4 

11.6 

88.9 

67.3 

46.9 

27.7 

09.7 

93.3 

78.3 

64.8 

34 
35 

35 

61.4 

36.7 

12.9 

90.2 

68.6 

48.2 

29.0 

1 1.2 

94.7 

79-7 

66.2 

36 

62.7 

37.9 

l4.2 

91.5 

69.9 

49.5 

3o.4 

12.6 

96.1 

81. 1 

67.7 

36 

0 

37 

63.9 

39.2 

i5.4 

92.8 

71.2 

50.9 

3i.7 

i4.o 

97.5 

82.6 

69.1 

37 

38 

65.2 

40.4 

16.7 

94.1 

72.5 

52.2 

33.1 

i5.3 

98.9 

84.0 

70.6 

38 

39 

66.4 

41.7 

18.0 

95.4 

73.9 

53.5 

34.5 

16.7 

3ooo.3 

85.4 

72.0 

39 

4o 

2367.6 

2443.0 

2519.3 

2596.7 

2675.2 

2754.9 

2835.8 

2918. 1 

300I.8 

3086.9 

3173.5 

40 

4i 

68.9 

44.2 

20.5 

98.0 

76.5 

56.2 

37.2 

19.5 

o3.2 

88.3 

75.0 

4i 

42 

7 

70.2 

45.5 

21.8 

99.3 

77.8 

57.6 

38.6 

20.9 

o4.6 

89.7 

76.4 

42 
43 

43 

71.4 

46.8 

23.1 

2600.5 

79.1 

58.9 

39.9 

22.3 

06.0 

91.2 

77-9 

44 

72.6 

48.0 

24.4 

01.9 

80.5 

60.2 

4i.3 

23.6 

07.4 

92.6 

79.3 

44 

45 

73.9 
75.1 

49.3 

25.7 

o3.2 

81.8 

61.5 

42.6 

25.0 

08.8 

94.0 

80.8 

45 

46 

5o.6 

27.0 

o4.5 

83.1 

62.9 

44.0 

26.4 

10.2 

95.5 

82.3 

46 

47 
48 

76.4 

5i.8 

28.3 

o5.8 

84.4 

64.3 

45.4 

27.8 

II. 6 

96.9 

83.7 

47 

77.6 

53.1 

29.5 

07.1 

85.7 

65.6 

46.7 

29.2 

i3.o 

98.3 

85.2 

48 

49 

78.9 

54.3 

3o.8 

08.4 

87.1 

66.9 

48.1 

3o.6 

i4.4 

99-7 

86.6 

49 

5o 

238o.i 

2455.6 

2532.1 

2609.7 

2688.4 

2768.3 

2849.5 

2932.0 

3oi5.8 

3I0I.2 

3i88.i 

5o 
5i 

52 

53 
54 
55 
56 

57 
58 
59 

5i 

81.4 

56.9 

33.4 

II.O 

89.7 

69.6 

5o.8 

33.3 

17.2 

02.6 

89.6 

52 

82.6 

58.1 

34.7 

12.3 

91.0 

71.0 

52.2 

34.7 

18.7 

o4.i 

91.0 

r 

53 

83.9 

59.4 

36.0 

i3.6 

92.3 

72.3 

53.5 

36.1 

20.1 

o5.6 

92.5 

/ 

54 

85.1 

60.7 

37.2 

14.9 

93.7 

73.7 

54.9 

37.5 

21.5 

07.0 

94.0 
95.4 

55 

86.4 

61.9 

38.5 

16.2 

95.0 

75.0 

56.3 

38.9 

22.9 

08.4 

56 

87.6 

63.2 

39.8 

17.5 

96.3 

76.3 

57.7 

40.3 

24.3 

09.8 

96.9 

98.4 
99.8 

0        0 

57 

88.5 

64.5 

4i.i 

18.8 

97.6 

77-7 

59.0 

41.7 

25.7 

11.2 

58 

90.2 
91./ 

65.g 

42.4 

20.1 

99.0 

79.0 

60.5 

43.1 

27.1 

12.7 

59 

i      67.C 

)   43.6 

21.^ 

2700.3 

80.4 

61.7 

44.4 

28.5 

i4.i 

3201.3 

200 

M 

ERiDioNAL  Parts. 

LATITUDE. 

Min. 

47° 

48° 

49° 

50° 

51° 

52° 

53° 

54° 

55° 

56° 

57° 

Min. 

o 

3202.7 

3291.5 

3382.1 

3474.5 

3568.8 

3665.2 

3763.8 

3864.6 

3968.0 

4073.9 

4182.6 

0 

I 

o4.2 

93.0 

83.6 

76.0 

70.4 

66.8 

65.4 

66.3 

69.7 

75.7 

84.5 

I 

2 

o5.7 

94.5 

85.1 

77.6 

72.0 

68.4 

67.1 

68.0 

71.5 

77.5 

86.3 

2 

3 

07.1 

96.0 

86.7 

79.1 

73.6 

70.1 

68.8 

69.7 

73.2 

79.3 

88.1 

3 

4 

08.6 

97.5 

88.2 

80.7 

75.2 

71.7 

70.4 

71.5 

75.0 

81. 1 

90.0 

4 

5 

10. 1 

99.0 

89.7 

82.3 

76.8 

73.3 

72.1 

73.2 

76.7 

82.9 

91.8 

5 

6 

II. 5 

3300.5 

91.3 

83.8 

78.4 

75.0 

73.7 

74.9 

78.4 

84.7 

93.7 

6 

7 

i3.o 

02.0 

92.8 

85.4 

79-9 

76.6 

75.4 

76.6 

80.2 

86.4 

95.5 

7 

8 

i4.5 

o3.5 

94.3 

87.0 

81.5 

78.2 

77.1 

78.3 

82.0 

88.2 

97.3 

8 

9 

i5.9 

o5.o 

95.8 

88.5 

83.1 

79.8 

78.7 

80.0 

83.7 

90.0 

99.2 

9 

10 

3217.4 

33o6.5 

3397.4 

3490.1 

3584.7 

3681.5 

3780.4 

3881.7 

3985.4 

4091.8 

4201.0 

10 

II 

18.9 

08.0 

98.9 

91.6 

86.3 

83.1 

82.1 

83.4 

87.2 

93.6 

02.9 

II 

12 

20.3 

09.5 

3400.4 

93.2 

87.9 

84.7 

83.7 

85.1 

88.9 

95.4 

04.7 

12 

i3 

21.8 

II.O 

02.0 

94-7 

89.5 

86.4 

85.4 

86.8 

90.7 

97,2 

06.6 

i3 

i4 

23.3 

12.5 

o3.5 

96.3 

91. 1 

88.0 

87., 

88.5 

92.5 

99.0 

08.4 

i4 

i5 

24.8 

14.0 

o5.o 

97-9 

92.7 

89.6 

88.8 

90.2 

94.2 

4100.8 

10.3 

i5 

i6 

26.2 

i5.5 

06.6 

99.4 

94.3 

91.3 

90.4 

92.0 

96.0 

02.6 

12. 1 

16 

I? 

27.7 

17.0 

08.1 

35oi.o 

95.9 

92.9 

92.1 

93.7 

97-7 

o4.4 

i4.o 

17 

i8 

29.2 

18.5 

09.6 

02.6 

97.5 

94.5 

93.8 

95-4 

99.5 

06.2 

i5.8 

18 

19 

3o.7 

20.0 

II. I 

o4.i 

99.1 

96.2 

95.5 

97-1 

4001.2 

08.0 

17.7 

19 

20 

3232.1 

3321.5 

3412.7 

35o5.7 

3600.7 

3697.8 

3797.1 

3898.8 

4oo3.o 

4109.8 

4219.5 

20 

21 

33.6 

23.0 

l4.2 

07.3 

02.3 

99.4 

98.8 

3900.5 

04.7 

11.6 

21.4 

21 

22 

35.1 

24.5 

i5.7 

08.8 

03.9 

3701. 1 

3800.5 

02.2 

06.5 

i3.4 

23.2 

22 

23 

36.6 

26.0 

17.3 

10.4 

o5.5 

02.7 

02.2 

04.0 

08.3 

l5.2 

25.1 

23 

24 

38.0 

27.5 

18.8 

12.0 

07.1 

o4.4 

o3.8 

o5.7 

10,0 

17. 1 

27.0 

24 

25 

39.5 

29.0 

20.4 

i3.5 

08.7 

06.0 

o5.5 

07.4 

1 1.8 

18.9 

28.8 

25 

26 

4i.o 

3o.6 

21.9 

i5.i 

10.3 

07.6 

07.2 

09.1 

i3.5 

20.7 

3o.6 

26 

27 

42.5 

32.1 

23.5 

16.7 

1 1. 9 

09.3 

08.9 

10.8 

i5.3 

22.5 

32.5 

27 

28 

44.0 

33.6 

25,0 

18.3 

i3.6 

10.9 

10.5 

12.5 

17. 1 

24.3 

34.4 

28 

29 

45.4 

35.1 

26.5 

19.8 

i5.i 

12.6 

12.2 

i4.3 

18.8 

26.1 

36.2 

29 

3o 

3246.9 

3336.6 

3428.0 

3521.4 

3616.7 

3714.2 

38i3.9 

3916.0 

4020.6 

4127.9 

4238.1 

3o 

3i 

48.4 

38.1 

29.6 

23.0 

18.4 

i5.8 

i5.6 

17-7 

22.4 

29.7 

4o.o 

3i 

32 

49.9 

39.6 

3i.i 

24.6 

20.0 

17.5 

17.3 

19-4 

24.1 

3i.5 

41.8 

32 

33 

5i.4 

4i.i 

32.7 

26.1 

21.6 

19.1 

18.9 

21-2 

25.9 

33.3 

43.7 

33 

34 

52.8 

42.6 

34.2 

27.7 

23.2 

20.8 

20.6 

22.9 

27.7 

35.2 

45.5 

34 

35 

54.3 

44.1 

35.8 

29.3 

24.8 

22.4 

22.3 

24.6 

29.4 

37.0 

47.4 

35 

36 

55.8 

45.7 

37.3 

3o.8 

26.4 

24.1 

24.0 

26.3 

3l.2 

38.8 

49.3 

36 

37 

57.3 

47.2 

38.8 

32.4 

28.0 

25.7 

25.7 

28.1 

33.0 

4o.6 

5i.i 

37 

38 

58.8 

48.7 

4o.4 

34.0 

29.6 

27.4 

27.4 

29.8 

34.8 

42.4 

53.0 

38 

39 

60.3 

5o.2 

41.9 

35.6 

3i.3 

29.0 

29.1 

3i.5 

36.5 

44.2 

54.9 

39 

4o 

3261.7 

335r.7 

3443,5 

3537.1 

3632.8 

3730.7 

3830.8 

3933.2 

4o38.3 

4i46.i 

4256.7 

4o 

4i 

63.2 

53.2 

45.0 

38.7 

34.4 

32.3 

32.4 

35.0 

4o.i 

47.9 

58.6 

4i 

42 

64.7 

54.7 

46.6 

4o.3 

36.1 

34.0 

34.1 

36.7 

4i.8 

49.7 

60.5 

42 

43 

66.2 

56.2 

48.1 

41.9 

37.7 

35.6 

35.8 

38.4 

43.6 

5i.5 

62.3 

43 

44 

67.7 

57.8 

49.7 

43.5 

39.3 

37.3 

37.5 

4o.2 

45.4 

53.4 

64.2 

44 

45 

69.2 

59.3 

5l.2 

45.0 

40.9 

38.9 

39.2 

41.9 

47.2 

55.2 

66.1 

45 

46 

70.7 

60.8 

52.8 

46.6 

42.5 

4o.6 

40.9 

43.6 

49.0 

57.0 

68.0 

46 

47 

72.1 

62.3 

54.3 

48.2 

44.1 

42.2 

42.6 

45.4 

5o.7 

58.8 

69.8 

47 

48 

73.6 

63.8 

55.8 

49.8 

45.8 

43.9 

44.3 

47.1 

52.5 

60.7 

71.7 

48 

49 

75.1 

65.4 

57.4 

5i.4 

47.4 

45.5 

46.0 

48.8 

54.3 

62.5 

73.6 

49 

5o 

3276.6 

3366.9 

3458.9 

3553.0 

3649-0 

3747.2 

3847-7 

3950.6 

4o56.i 

4x64.3 

4275.5 

5o 

5i 

78.. 

68.4 

60.5 

54,6 

5o.6 

48.8 

49-4 

52.3 

57.8 

66.1 

77-4 

5i 

52 

79.6 

69.9 

62.0 

56,1 

52.2 

5o.5 

5i.i 

54.0 

59.6 

68.0 

79.2 

52 

53 

81. 1 

71.4 

63.6 

57.7 

53.8 

52.1 

52.8 

55.8 

61.4 

69.8 

81. 1 

53 

54 

82.6 

73.0 

65.2 

59.3 

55.5 

53.8 

54.4 

57.5 

63.2 

71.6 

83.0 

54 

55 

84.1 

74.5 

66.7 

60,9 

57.1 

55.5 

56.1 

59.3 

65.0 

73.5 

84.9 

55 

56 

85.6 

76.0 

68.3 

62.5 

58.7 

57.1 

57.8 

61.0 

66.8 

75.3 

86.8 

56 

57 

87.. 

77.5 

69.8 

64.0 

60.3 

58.8 

59.5 

62.7 

68.5 

77.1 

88.6 

57 

58 

88.5 

79.0 

71.4 

65.6 

61.9 

60.4 

61.2 

64.5 

70.3 

79.0 

90.5 

58 

59 

90.0 

80.6 

73.0 

67.2 

63.6 

62.1 

62.9 

66.2 

72.1 

80.8 

92.4 

59 

Meridional 

Parts. 

201 

LATITUDE. 

Min. 

58° 

59° 

60° 

61° 

62° 

63° 

64° 

65° 

66° 

67° 

68° 

Mln. 
0 

o 

4294.3 

4409.1 

4527.4 

4649.2 

4775.0 

4904.9 

5039.4 

5178.8 

5323.5 

5474.0 

5630.8 

I 

96.2 

II. I 

29.4 

5i.3 

77.1 

07.1 

41.7 

81.2 

26.0 

76.6 

33.5 

I 

2 

98.1 

i3.o 

3i.4 

53.4 

79.3 

09.4 

44.0 

83.5 

28.4 

79.1 

36.2 

2 

3 

43oo.o 

i5.o 

33.4 

55.4 

81.4 

1 1.6 

46.3 

85.9 

30.9 

81.7 

38.8 

3 

4 

01.9 

16.9 

35.4 

57.5 

83.5 

i3.8 

48.6 

88.3 

33.4 

84.3 

4i.5 

4 

5 

o3.7 

18.9 

37.4 

59.6 

85.6 

16.0 

5o.9 

90.7 

35.8 

86.9 

44.2 

5 

6 

o5.6 

20.8 

39.4 

61.6 

87.8 

18.2 

53.1 

93.1 

38.3 

89.4 

46.9 

6 

7 

07.5 

22.8 

4i.4 

63.7 

89.9 

20.4 

55.4 

95.4 

4o.8 

92.0 

49.6 

7 

8 

09.4 

24.7 

43.4 

65.8 

92.1 

22.6 

57.7 

97.8 

43.2 

94.5 

52.3 

8 

9 

II. 3 

26.7 

45.4 

67.8 

94.2 

24.8 

60.0 

5200.2 

45.7 

97.1 

54.9 

9 

10 

43i3.2 

4428.6 

4547.4 

4669.9 

4796.3 

4927.0 

5o62.3 

5202.6 

5348.2 

5499.7 

5657.6 

10 

II 

i5.i 

3o.6 

49.4 

72.0 

98.5 

29.2 

64.6 

04.9 

5o.7 

55o2.3 

60.3 

n 

12 

17.0 

32.5 

5i.4 

74.1 

4800.6 

3i.5 

66.9 

07.3 

53.1 

04.9 

63.0 

12 

i3 

18.9 

34.5 

53.5 

76.1 

02.8 

33.7 

69.2 

09.7 

55.6 

07.4 

65.7 

i3 

i4 

20.8 

36.4 

55.5 

78.2 

04.9 

35.9 

71.5 

12. 1 

58.1 

10. 0 

68.4 

i4 

i5 

22.7 

38.4 

57.5 

80.3 

07.1 

38.1 

73.8 

i4.5 

60.6 

12.6 

71. 1 

i5 

i6 

24.6 

4o.3 

59.5 

82.4 

09.2 

40.3 

76.1 

16.9 

63.1 

l5.2 

73.8 

16 

I? 

26.5 

42.3 

61.5 

84.5 

11.4 

42.6 

78.4 

19.3 

65.6 

17.8 

76.5 

17 

i8 

28.4 

44.2 

63.5 

86.5 

i3.5 

44.8 

80.7 

21.6 

68.0 

20.4 

79.2 

18 

19 

3o.3 

46.2 

65.6 

88.6 

i5.7 

47.0 

83.0 

24.0 

70.5 

23. 0 

81.9 

19 

20 

4332.2 

4448.2 

4567.6 

4690.7 

4817.8 

4949.2 

5o85.3 

5226.4 

5373.0 

5525.6 

5684.6 

20 

21 

34.1 

5o.i 

69.6 

92.8 

20.0 

5i.5 

87.6 

28.8 

75.5 

28.1 

87.3 

21 

22 

36.0 

52.1 

71.6 

94.9 

22.1 

53.7 

90.0 

3l.2 

78.0 

30.7 

90.0 

22 

23 

37.9 

54.1 

73.6 

97.0 

24.3 

55.9 

92.3 

33.6 

80.5 

33.3 

92.7 

23 

24 

39.8 

56.0 

75.7 

99.1 

26.4 

58.2 

94.6 

36.0 

83.0 

35.9 

95.5 

24 

25 

4i.8 

58.0 

77-7 

4701. 1 

28.6 

60.4 

96.9 

38.4 

85.5 

38.6 

98.2 

25 

26 

43.7 

60.0 

79-7 

o3.2 

3o.8 

62.6 

99.2 

40.8 

88.0 

4l.2 

5700.9 

26 

27 

45.6 

61.9 

81.7 

o5.3 

32.9 

64-9 

5ioi.5 

43.2 

90.5 

43.8 

o3.6 

27 

28 

47.5 

63.9 

83.8 

07.4 

35.1 

67.1 

o3.8 

45.7 

93.0 

46.4 

06.3 

28 

29 

49.4 

65.9 

85.8 

09.5 

37.3 

69.4 

06.2 

48.1 

95.5 

49.0 

09.1 

29 

3o 

4351.3 

4467.8 

4587.8 

4711.6 

4839.4 

4971.6 

5io8.5 

5250.5 

5398.0 

5551.6 

5711.8 

3o 

3i 

53.2 

69.8 

89.9 

i3.7 

4i.6 

73.8 

10.8 

52.9 

5400.5 

54.2 

i4.5 

3i 

32 

55.1 

71.8 

91.9 

i5.8 

43.8 

76.1 

i3.i 

55.3 

o3.o 

56.8 

17.3 

32 

33 

57.1 

73.7 

93.9 

17.9 

45.9 

78.3 

i5.5 

57.7 

o5.5 

59.4 

20.0 

33 

34 

59.0 

75.7 

96.0 

20.0 

48.1 

80.6 

17.8 

60.1 

08.1 

62.1 

22.7 

34 

35 

60.9 

77-7 

98.0 

22.1 

5o.3 

82.8 

20.1 

62.6 

10.6 

64.7 

25.5 

35 

36 

62.8 

79-7 

4600.0 

24.2 

52.4 

85.1 

22.4 

65.0 

i3.i 

67.3 

28.2 

36 

37 

64.7 

81.6 

02.1 

26.3 

54.6 

87.3 

24.8 

67.4 

i5.6 

69.9 

3o.9 

37 

38 

66.7 

83.6 

o4.i 

28.4 

56.8 

89.6 

27.1 

69.8 

18.1 

72.6 

33.7 

38 

39 

68.6 

85.6 

06.1 

3o.5 

59.0 

91.8 

29.4 

72.2 

20.6 

75.2 

36.4 

39 

4o 

4370.5 

4487.6 

4608.2 

4732.6 

4861.1 

4994.1 

5i3i.8 

5274.7 

5423.2 

5577.8 

5739.2 

4o 

4i 

72.4 

89.6 

10.2 

34.7 

63.3 

96.3 

34.1 

77.1 

25.7 

80.4 

41.9 

4i 

42 

74.3 

91.5 

12.3 

36.8 

65.5 

98.6 

36.5 

79.5 

28.2 

83.1 

44.7 

42 

43 

76.3 

93.5 

i4.3 

39.0 

67.7 

5ooo.8 

38.8 

82.0 

3o.8 

85.7 

47.5 

43 

44 

78.2 

95.5 

16.4 

4i.i 

69.9 

o3.i 

4i.i 

84.4 

33.3 

88.4 

5o.2 

44 

45 

80.1 

97.5 

18.4 

43.2 

72.0 

o5.4 

43.5 

86.8 

35.8 

91.0 

52.9 

45 

46 

82.1 

99.5 

20.5 

45.3 

74.2 

07.6 

45.8 

89.3 

38.4 

93.6 

55.7 

46 

47 

84.0 

45oi.5 

22.5 

47-4 

76.4 

09.9 

48.2 

91.7 

40.9 

96.3 

58.5 

47 

48 

85.9 

o3.4 

24.6 

49-5 

78.6 

12.2 

5o.5 

94.1 

43.4 

98.9 

61.2 

48 

49 

87.8 

o5.4 

26.6 

5i.6 

80.8 

i4.4 

52.9 

96.6 

46.0 

5601.6 

64.0 

49 

5o 

4389.8 

4507.4 

4628.7 

4753.7 

4883.0 

5016.7 

5i55.2 

5299.0 

5448.5 

56o4.2 

5766.8 

5o 

5i 

91.7 

09.4 

3o.7 

55.9 

85.2 

18.9 

57.6 

530I.5 

5i.o 

06.9 

69.5 

5i 

52 

93.6 

11.4 

32.8 

58.0 

87.4 

21.2 

59.9 

03.9 

53.6 

09.5 

72.3 

52 

53 

95.6 

i3.4 

34.8 

60.1 

89.5 

23.5 

62.3 

06.3 

56.1 

12.2 

75.1 

53 

54 

97.5 

i5.4 

36.9 

62.2 

91.7 

25.8 

64.6 

08.8 

58.7 

14.8 

77-9 

54 

55 

99-4 

17-4 

39.0 

64.4 

93.9 

28.0 

67.0 

II. 2 

61.2 

17.5 

80.6 

55 

56 

4401.4 

19.4 

4i.o 

66.5 

96.1 

3o.3 

69.4 

i3.7 

63.8 

20.2 

83.4 

56 

57 

o3.3 

21.4 

43.0 

68.6 

98.3 

32.6 

71.7 

16.1 

66.3 

22.9 

86.2 

57 

58 

o5.3 

23.4 

45.1 

70.7 

4900.5 

34.9 

74.1 

18.6 

68.9 

25.5 

89.0 

58 

59 

07.2 

25.4 

47.2 

72.9 

02.7 

37.1 

76.4 

21. 1 

71.4 

28.2 

91.8 

59 

202 

Meridional 

Parts. 

LATITUDE. 

Min. 

69° 

70° 

71° 

72° 

73° 

74° 

75° 

76° 

77° 

78° 

79° 

Min. 

o 

5794.6 

5965.9 

6145.7 

6334.8 

6534.4 

6745.7 

6970.3 

7210. 1 

7467.2 

7744.6 

8045.7 

0 

I 

97.4 

68.8 

48.8 

38.1 

37.8 

49-4 

74.2 

14.2 

71.7 

49.4 

5i.o 

I 

2 

5800.1 

71.8 

51.9 

4i.3 

4i.3 

53.0 

78.1 

18.3 

76.1 

54.2 

56.2 

2 

3 

02.9 

74.7 

54.9 

44.6 

44.7 

56.6 

81.9 

22.5 

80.6 

59.0 

61.5 

3 

4 

o5.7 

77.6 

58.0 

47-8 

48.1 

60.3 

85.8 

26.6 

85.0 

63.9 

66.7 

4 

5 

08.5 

80.6 

61. 1 

5i.i 

5i.6 

63.9 

89.7 

3o.8 

89.5 

68.7 

72.0 

5 

6 

II.3 

83.5 

64.2 

54.3 

55.0 

67.6 

93.6 

35.0 

94.0 

73.5 

77.3 

6 

7 

l4.2 

86.4 

67.3 

57.6 

58.5 

71.2 

97.5 

39.1 

98.5 

78.4 

82.6 

7 

8 

17.0 

89.4 

70.4 

60.8 

61.9 

74.9 

7001.4 

43.3 

75o3.o 

83.3 

87.9 

8 

9 

19.8 

92.3 

73.5 

64.1 

65.3 

78.5 

o5.3 

47.5 

07.4 

88.1 

93.2 

9 

10 

5822.6 

5995.3 

6176.6 

6367.4 

6568.8 

6782.2 

7009.2 

7251.7 

7511.9 

7793.0 

8098.5 

10 

1 1 

25.4 

98.2 

79-7 

70.6 

72.3 

85.9 

i3.i 

55.8 

16.5 

97-9 

8io3.8 

II 

12 

28.2 

6001.2 

82.8 

73.9 

75.7 

89.6 

17.0 

60.0 

21.0 

7802.8 

09.2 

12 

i3 

3i.o 

o4.i 

85.9 

77.2 

79.2 

93.2 

20.9 

64.2 

25.5 

07.7 

i4.5 

i3 

i4 

33.8 

07.1 

89.0 

80.4 

82.6 

96.9 

24.8 

68.4 

3o.o 

12.6 

19.9 

i4 

i5 

36.7 

10. 0 

92.1 

83.7 

86.1 

6800.6 

28.8 

72.6 

34.5 

17.5 

25.2 

i5 

i6 

39.5 

i3.o 

g5.2 

87.0 

89.6 

o4.3 

32.7 

76.8 

39.1 

22.4 

3o.6 

16 

I? 

42.3 

16.0 

98.3 

90.3 

93.0 

08.0 

36.6 

81. 1 

43.6 

27.3 

36.0 

17 

i8 

45.1 

18.9 

6201.4 

93.6 

96.5 

II. 6 

40.6 

85.3 

48.1 

32.2 

4 1. 3 

18 

19 

48.0 

21.9 

o4.5 

96.9 

6600.0 

i5.4 

44.5 

89.5 

52.7 

37.2 

46.7 

19 

20 

5850.8 

6024.9 

6207.7 

64oo.2 

66o3.5 

6819. 1 

7048.5 

7293.7 

7557.3 

7842.1 

8i52.i 

20 

21 

53.6 

27.8 

10.8 

o3.4 

07.0 

22.8 

52.4 

98.0 

61.8 

47-1 

57.5 

21 

22 

56.5 

3o.8 

i3.9 

06.7 

10.5 

26.5 

56.4 

7302.2 

66.4 

52. 0 

62.9 

22 

23 

59.3 

33.8 

17.0 

10. 1 

i4.o 

30.2 

60.3 

06.4 

71.0 

57.0 

68.4 

23 

24 

62.2 

36.8 

20.2 

1 3.4 

17.5 

33.9 

64.3 

10.7 

75.5 

61.9 

73.8 

24 

25 

65.0 

39.8 

23.3 

16.7 

21.0 

37.6 

68.3 

i5.o 

80.1 

66.9 

79.2 

25 

26 

67.8 

42.7 

26.5 

20.0 

24.5 

4i.3 

72.2 

19.2 

84.7 

71.9 

84.7 

26 

27 

70.7 

45.7 

29.6 

23.3 

28.0 

45.1 

76.2 

23.5 

89.3 

76.9 

90.1 

27 

28 

73.5 

48.7 

32.7 

26.6 

3i.5 

48.8 

80.2 

27.7 

93.9 

81.9 

95.6 

28 

29 

76.4 

51.7 

35.9 

29.9 

35.0 

52.5 

84.2 

32.0 

98.5 

86.9 

8201. 1 

29 

3o 

5879.2 

6054.7 

6239.0 

6433.3 

6638.5 

6856.3 

7088.2 

7336.3 

7603.2 

7891.8 

8206.6 

3o 

3i 

82.1 

57.7 

42.2 

36.6 

42.1 

60.0 

92.2 

4o.6 

07.8 

96.9 

12. 1 

3i 

32 

85.0 

60.7 

45.3 

39.9 

45.6 

63.8 

96.2 

44.9 

12.4 

7902.0 

17.6 

32 

33 

87.8 

63.7 

48.5 

43.2 

49.1 

67,5 

7100.2 

49.2 

17.0 

07.0 

23.1 

33 

34 

90.7 

66.7 

51.7 

46.6 

52.6 

71.3 

o4.2 

53.5 

21.7 

12.0 

28.6 

34 

35 

93.6 

69.7 

54.8 

49.9 

56.2 

75.0 

08.2 

57.8 

26.3 

17.1 

34.1 

35 

36 

96.4 

72.7 

58.0 

53.3 

59.7 

78.8 

12.2 

62.1 

3i.o 

22.1 

39.7 

36 

37 

99.3 

75.7 

61.2 

56.6 

63.3 

82.6 

16.3 

66.4 

35.6 

27.2 

45.2 

37 

38 

5902.2 

78.8 

64.3 

60.0 

66.8 

86.3 

20.3 

70.7 

4o.3 

32.3 

5o.8 

38 

39 

o5.o 

81.8 

67.5 

63.3 

70.4 

90.1 

24.3 

75.1 

45.0 

37.3 

56.3 

39 

4o 

5907.9 

6084.8 

6270.7 

6466.7 

6673.9 

6893.9 

7128.4 

7379.4 

7649.7 

7942.4 

8261.9 

4o 

4i 

10.8 

87.8 

73.9 

70.0 

77-4 

97-7 

32.4 

83.7 

54.3 

47.5 

67.5 

4i 

42 

i3.7 

90.8 

77.1 

73.4 

81.0 

6901.5 

36.4 

88.1 

59.0 

52.6 

73.1 

42 

43 

16.6 

93.9 

80.2 

76.7 

84.6 

o5.3 

4o.5 

92.4 

63.7 

57.7 

78.6 

43 

44 

19.4 

96.9 

83.4 

80.1 

88.2 

09.1 

44.5 

96.8 

68.4 

62.8 

84.3 

44 

45 

22.3 

99-9 

86.6 

83.5 

91.7 

12.9 

48.6 

7401.1 

73.2 

68.0 

89.9 

45 

46 

25.2 

6io3.o 

89.8 

86.9 

95.3 

16.7 

52.7 

o5.5 

77-9 

73.1 

95.5 

46 

47 

28.1 

06.0 

93.0 

90.2 

98.9 

20.5 

56.7 

09.9 

82.6 

78.2 

830I.I 

47 

48 

3i.o 

09.0 

96.2 

93.6 

6702.5 

24.3 

60.8 

i4.3 

87.3 

83.4 

06.7 

48 

49 

33.9 

12. 1 

99.4 

97.0 

06.1 

28.1 

64.9 

18.6 

92.1 

88.5 

12.4 

49 

5o 

5936.8 

6ii5.i 

63o2.6 

65oo.4 

6709.7 

6931.9 

7169.0 

7423.0 

7696.8 

7993.7 

83i8.i 

5o 

5i 

39.7 

18.2 

o5.8 

o3.8 

l3.2 

35.7 

73.1 

27.4 

7701.5 

98.9 

23.8 

5i 

52 

42.6 

21.2 

09.1 

07.2 

16.8 

39.6 

77.2 

3i.8 

06.3 

8004.0 

29.4 

52 

53 

45.5 

24.3 

12.3 

10.6 

20.4 

43.4 

81.2 

36.2 

II. I 

09.2 

35.1 

53 

54 

48.4 

27.3 

i5.5 

i4.o 

24.0 

47.2 

85.3 

4o.6 

i5.8 

i4.4 

4o.8 

54 

55 

5i.3 

3o.4 

18.7 

17.4 

27.7 

5i.i 

89.5 

45.1 

20.6 

19.6 

46.5 

55 

56 

54.2 

33.4 

21.9 

20.8 

3i.3 

54.9 

93.6 

49.5 

25.4 

24.8 

52.2 

56 

57 

57.2 

36.5 

25.1 

24.2 

34.9 

58.8 

97-7 

53.9 

3o.2 

3o.o 

58.0 

57 

58 

60.1 

39.6 

28.4 

27.6 

38.5 

62.6 

7201.8 

58.3 

35.0 

35.2 

63.7 

58 

59 

63.0 

42.6 

3i.6 

3i.o 

42.1 

66.5 

o5.9 

62.8 

39.8 

4o.5 

69.4 

59 

Corrections 

TO 

M 

IDDLE  L 

ATITUDE 

• 

203 

Mid. 
Lat. 

DIFFERENCE  OF  LATITUDE. 

20° 

Mid. 
Lat 

1° 

2° 

3° 

4° 

5° 

6° 

r 

8° 

9° 

10° 

11° 

12° 

13° 

14° 

15° 

16° 

17° 

18° 

19° 

0 

/ 

/ 

/ 

/ 

/   / 

/ 

/ 

/ 

/ 

/ 

/ 

/ 

/ 

/ 

/ 

/ 

1 

/ 

0 

i5 

0 

2 

3 

5 

7  9 

12 

i5 

18 

22 

26 

3i 

36 

4i 

47 

52 

59 

65 

72 

i5 

16 

0 

2 

3 

4 

6 

9 

II 

i4 

18 

21 

25 

3o 

34 

39 

44 

5o 

5G 

62 

69 

16 

17 

0 

2 

3 

4 

6 

8 

II 

i4 

17 

20 

24 

28 

33 

38 

43 

48 

54 

60 

66 

'7 

18 

0 

3 

4 

6 

8 

10 

i3 

16 

20 

23 

27 

32 

36 

4i 

46 

52 

58 

64 

18 

19 

0 

3 

4 

6 

8 

10 

i3 

16 

19 

22 

26 

3o 

35 

4o 

45 

5o 

56 

61 

'9 

20 

0 

2 

4 

5 

7 

10 

12 

i5 

18 

22 

25 

29 

34 

38 

43 

48 

54 

60 

20 

21 

0 

2 

4 

5 

7 

9 

12 

i5 

18 

21 

25 

29 

33 

37 

42 

47 

52 

58 

21 

22 

0 

2 

4 

5 

7 

9 

12 

i4 

17 

21 

24 

28 

32 

36 

4i 

46 

5i 

56 

22 

23 

0 

2 

3 

5 

7 

9 

II 

i4 

17 

20 

23 

27 

3i 

35 

4o 

45 

5o 

55 

23 

24 

0 

2 

3 

5 

7 

9 

II 

i4 

16 

20 

23 

27 

3i 

35 

39 

44 

49 

54 

24 

25 

0 

2 

3 

5 

7 

9 

II 

i3 

16 

19 

23 

26 

3o 

34 

39 

43 

48 

53 

25 

26 

0 

2 

3 

5 

6 

8 

II 

i3 

16 

19 

22 

26 

3o 

34 

38 

42 

47 

52 

26 

27 

0 

2 

3 

5 

6 

8 

II 

i3 

16 

19 

22 

25 

29 

33 

37 

42 

47 

52 

27 

28 

0 

2 

3 

5 

6 

8 

10 

i3 

16 

18 

22 

25 

29 

33 

37 

4i 

46 

5i 

28 

29 

0 

2 

3 

5 

6 

8 

10 

i3 

i5 

18 

21 

25 

28 

32 

37 

4i 

46 

5i 

29 

3o 

0 

2 

3 

5 

6 

8 

10 

i3 

i5 

18 

21 

25 

28 

32 

36 

4i 

45 

5o 

3o 

3i 

0 

2 

3 

5 

6 

8 

10 

12 

i5 

18 

21 

24 

28 

32 

36 

4o 

45 

5o 

3i 

32 

0 

2 

3 

4 

6 

8 

10 

12 

i5 

18 

21 

24 

28 

32 

36 

4o 

45 

5o 

32 

33 

0 

2 

3 

4 

6 

8 

10 

12 

16 

18 

21 

24 

28 

32 

36 

4o 

45 

49 

33 

34 

0 

2 

3 

4 

6 

8 

10 

12 

i5 

18 

21 

24 

28 

32 

36 

40 

45 

49 

34 

35 

0 

2 

3 

4 

6 

8 

10 

12 

i5 

18 

21 

24 

28 

32 

36 

4o 

45 

49 

35 

36 

0 

2 

3 

4 

6 

8 

10 

12 

i5 

18 

21 

24 

28 

32 

36 

40 

45 

49 

36 

37 

0 

2 

3 

4 

6 

8 

10 

12 

i5 

18 

21 

24 

28 

32 

36 

40 

45 

49 

37 

38 

0 

2 

3 

4 

6 

8 

10 

12 

i5 

18 

21 

24 

28 

32 

36 

4o 

45 

5o 

38 

39 

0 

2 

3 

4 

6 

8 

10 

12 

i5 

18 

21 

24 

28 

32 

36 

4o 

45 

5o 

39 

4o 

0 

2 

3 

5 

6 

8 

10 

i3 

i5 

18 

21 

25 

28 

32 

36 

4i 

45 

5o 

4o 

4i 

0 

2 

3 

5 

6 

8 

10 

i3 

i5 

18 

21 

25 

28 

32 

37 

4i 

46 

5i 

4i 

42 

0 

2 

3 

5 

6 

8 

10 

i3 

i5 

18 

22 

25 

29 

33 

37 

4i 

46 

5i 

42 

43 

0 

2 

3 

5 

6 

8 

10 

i3 

16 

18 

22 

25 

29 

33 

37 

42 

46 

52 

43 

44 

0 

2 

3 

5 

6 

8 

10 

i3 

16 

19 

22 

25 

29 

33 

38 

42 

47 

52 

44 

45 

0 

2 

3 

5 

6 

8 

II 

i3 

16 

19 

22 

26 

3o 

34 

38 

43 

48 

53 

45 

46 

0 

2 

3 

5 

6 

8 

II 

i3 

16 

'9 

22 

26 

3o 

34 

38 

43 

48 

53 

46 

47 

0 

2 

3 

5 

7 

9 

II 

i3 

16 

19 

23 

26 

3o 

35 

39 

44 

49 

54 

47 

48 

0 

2 

3 

5 

7 

9 

II 

i4 

17 

20 

23 

27 

3i 

35 

4o 

44 

5o 

55 

48 

49 

0 

2 

3 

5 

7 

9 

1 1 

i4 

17 

20 

23 

27 

3i 

36 

4o 

45 

5o 

56 

49 

5o 

0 

2 

4 

5 

7 

9 

II 

i4 

17 

20 

24 

28 

32 

36 

4i 

46 

5i 

57 

5o 

5i 

0 

2 

4 

5 

7 

9 

12 

i4 

17 

21 

24 

28 

32 

37 

42 

47 

52 

58 

5i 

52 

0 

2 

4 

5 

7 

9 

12 

i5 

18 

21 

25 

29 

33 

38 

43 

48 

53 

59 

52 

53 

0 

2 

4 

5 

7 

10 

12 

i5 

18 

21 

25 

29 

34 

38 

43 

49 

54 

60 

53 

54 

0 

2 

4 

5 

7 

10 

12 

i5 

18 

22 

26 

3o 

34 

39 

44 

5o 

56 

62 

54 

55 

0 

2 

4 

6 

8 

10 

i3 

16 

19 

22 

26 

3i 

35 

4o 

45 

5i 

57 

63 

55 

56 

0 

3 

4 

6 

8 

10 

i3 

16 

19 

23 

27 

3i 

36 

4i 

46 

52 

58 

65 

56 

57 

0 

3 

4 

6 

8 

10 

i3 

16 

20 

24 

28 

32 

37 

42 

48 

54 

60 

66 

57 

58  , 

0 

2 

3 

4 

6 

8 

II 

i4 

17 

20 

24 

28 

33 

38 

43 

49 

55 

61 

68 

58 

59 

0 

2 

3 

4 

6 

8 

II 

i4 

17 

21 

25 

29 

34 

39 

45 

5o 

57 

63 

70 

59 

60 

0 

2 

3 

4 

6 

9 

II 

i4 

18 

22 

26 

3o 

35 

4o 

46 

52 

58 

65 

72 

60 

61 

0 

2 

3 

5 

7 

9 

12 

i5 

18 

22 

26 

3i 

36 

42 

47 

53 

60 

67 

75 

61 

62 : 

0 

2 

3 

5 

7 

9 

12 

i5 

19 

23 

27 

32 

37 

43 

49 

55 

62 

70 

77 

62 

63 

0 

2 

3 

5 

7 

10 

12 

16 

20 

24 

28 

33 

39 

44 

5i 

57 

64 

72 

80 

63 

64 

0 

2 

3 

5 

7 

10 

i3 

16 

20 

24 

29 

34 

4o 

46 

52 

59 

67 

75 

83 

64 

65 

0 

2 

3 

5 

7 

10 

i3 

17 

21 

25 

3o 

36 

4i 

48 

54 

62 

69 

78 

86 

65 

66 

0 

2 

3 

5 

8 

II 

i4 

18 

22 

26 

32 

37 

43 

5o 

57 

64 

72 

81 

90 

66 

67 

0 

2 

4 

6 

8 

II 

i4 

18 

23 

28 

33 

39 

45 

52 

59 

67 

76 

85 

94 

67 

68 

0 

2 

4 

6 

8 

12 

i5 

19 

24 

29 

34 

4o 

47 

54 

62 

70 

79 

89 

99 

68 

69 

0 

2 

4 

6 

9 

12 

16 

20 

25 

3o 

36 

42 

49 

57 

65 

74 

83 

93 

io4 

69 

70 

0 

2 

4 

6 

9 

i3 

16 

21 

26 

32 

38 

44 

52 

60 

68 

78 

88 

98 

no 

70 

71 

0 

2 

4 

7 

10 

i3 

17 

22  27 

33 

40 

47 

55 

63 

72 

82 

93 

io4 

116 

7' 

72 

0 

2 

5 

7 

ro 

i3 

18 

23  29 

35 

42 

49 

58 

67 

76 

87 

98 

III 

124 

72 

204      Logarithms  for  computing  Compound  Interest. 


In  computing  compound  interest  for  long  periods  of  time,  it  is  necessary  to 
have  the  following  logarithms  to  more  than  six  places. 


Number. 


I .0025 

I .oo5o 


I .0075 
1 .0100 

I .0123 

I .oi5o 
I .0175 
0200 

0225 

o25o 
0276 
I .o3oo 
I .0825 
I .o35o 
I .0375 
I .o4oo 


Logarithm. 


.00108 
.00216 
.oo324 
.00432 
.00539 
.00646 
.00753 
.00860 
.00966 
.01072 
.01178 
.01283 
.01389 

.01494 
.01598 
.01703 


438i3 
60618 
5o548 
13738 
5o3i9 
60422 

44179 
01718 
33167 
38654 
i83o5 
72247 
oo6o3 
03498 
8io54 
33393 


Number. 


I .0425 
I .o45o 
I .0475 
I .o5oo 
I .o525 
I .o55o 
I .0575 
1 .0600 
I .0625 
I .o65o 
I 
I 
I 
I 
I 
I 


.0675 
.0700 
.0725 
.0750 
.0775 
.0800 


Logarithm. 


,01807 
.01911 
.020l5 
,02118 
.02222 

.02325 

.02428 
.0253o 

.02632 

.02734 
.02836 
.02938 
.o3o39 
.o3i4o 
.o324i 
.03342 


6o636 
62904 
4o3i6 
92991 
21045 
24596 
08760 
58653 
89887 
96078 
78887 
37777 
78009 
84643 
72788 
87555 


NmiBERS  OFTEN  USED  IN  CALCULATIONS. 


Circumference  of  a  circle  to  diameter  i  ^ 

Surface  of  a  sphere  to  diameter  i >  ...=  8.1415926 

Area  of  a  circle  to  radius  i  ; 

Area  of  a  circle  to  diameter  i =  .7858982 

Capacity  of  a  sphere  to  diameter  i  =  .5285988 

Capacity  of  sphere  to  radius  i =  4- 1887902 

1-^3.1416926 =  0.8188099 

Arc  equal  to  radius  expressed  in  degrees ==57°, 2967795 

Arc  equal  to  radius  expressed  in  seconds ^  206264". 8 

Length  of  i  degree  in  parts  of  radius =  .0174588 

Length  of  i  minute  in  parts  of  radius =  .0002909 

Sine  of  i  second =:  .ooooo485 

Sine  of  2  seconds =  .00000970 

Sine  of  3  seconds =  .ooooi454 

Sine  of  4  seconds =  .00001989 

Sine  of  5  seconds =  .00002424 

Sine  of  6  seconds =  .00002909 

Sine  of  7  seconds =  .00008394 

Sine  of  8  seconds z=  .00008879 

Sine  of  9  seconds ^=  .oooo4363 

Base  of  Napier's  system  of  logarithms =  2.7182818 

Modulus  of  the  common  logarithms =  .4342945 

860  degrees  expressed  in  seconds =:  1296000 

24  hours  expressed  in  seconds =  864oo 

Number  of  feet  in  one  mile =  6280 


Logarithms. 
0.497160 


9.896090 
9.718999 
0.622089 
9.602860 
I .768128 

5 .814426 
8.241877 
6.468726 
4.685576 
986606 
162696 
287686 
884545 
6.468726 
6.680673 
5.688666 
6.689817 
0.434294 
687784 
1 12606 
986614 
722634 


THE  END. 


r 


